query stringlengths 1.97k 3.05k | choices listlengths 4 4 | gold listlengths 1 1 |
|---|---|---|
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$x=-1$ and $x=-3$",
"(B)$x=-1$ and $x=3$",
"(C)$x=1$ and $x=-3$",
"(D)$x=1$ and $x=3$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)1",
"(B)7",
"(C)16",
"(D)79"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$a^{2}+a$",
"(B)$a^{3}-1$",
"(C)$2 a^{2}$",
"(D)$a^{3}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)The speed of sound, in meters per second, at $0^{\\circ} \\mathrm{C}$",
"(B)The speed of sound, in meters per second, at $0.6^{\\circ} \\mathrm{C}$",
"(C)The increase in the speed of sound, in meters per second, that corresponds to an increase of $1^{\\circ} \\mathrm{C}$",
"(D)The increase in the speed of... | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)1",
"(B)2",
"(C)3",
"(D)9"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$(a+2 b)^{2}$",
"(B)$(2 a+2 b)^{2}$",
"(C)$(4 a+4 b)^{2}$",
"(D)$(4 a+8 b)^{2}$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)11",
"(B)22",
"(C)44",
"(D)66"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\sqrt[3]{9}$",
"(B)$\\sqrt[4]{9}$",
"(C)$\\sqrt{3}$",
"(D)$3 \\sqrt{3}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)None",
"(B)One",
"(C)Two",
"(D)Three"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{25}{4} m=95$",
"(B)$\\frac{25}{4} m=5$",
"(C)$\\frac{4}{25} m=95$",
"(D)$\\frac{4}{25} m=5$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$f(x)=2 x+3$",
"(B)$f(x)=3 x+2$",
"(C)$f(x)=4 x+1$",
"(D)$f(x)=5 x$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)7.5",
"(B)10",
"(C)50.5",
"(D)120"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{3}{5}$",
"(B)$\\frac{5}{3}$",
"(C)3",
"(D)5"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)90",
"(B)111",
"(C)140",
"(D)230"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)2",
"(B)3",
"(C)4",
"(D)5"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$y=n x+b$",
"(B)$y=n x-b$",
"(C)$y=b(n)^{x}$",
"(D)$y=n(b)^{x}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$-2.2 x^{2}+1.6$",
"(B)$-2.2 x^{2}+11.2$",
"(C)$-2.95 x^{2}-7.2 x+12.16$",
"(D)$-2.95 x^{2}-7.2 x+0.64$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$m=d V$",
"(B)$m=\\frac{d}{V}$",
"(C)$m=\\frac{V}{d}$",
"(D)$m=V+d$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$3 x+2 y=6$",
"(B)$3 x+4 y=6$",
"(C)$2 x+4 y=6$",
"(D)$2 x+6 y=3$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)3",
"(B)$\\frac{7}{2}$",
"(C)4",
"(D)6"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$(-2,-1)$",
"(B)$(-1,3)$",
"(C)$(1,5)$",
"(D)$(2,-1)$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)0.122",
"(B)0.196",
"(C)0.318",
"(D)0.379"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)None",
"(B)II only",
"(C)I and II only",
"(D)I and III only"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)24 years",
"(B)36 years",
"(C)40 years",
"(D)48 years"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)1.0",
"(B)1.2",
"(C)1.3",
"(D)1.4"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$c>1$",
"(B)$c=1$",
"(C)$c=-1$",
"(D)$c<-1$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)16,200",
"(B)23,400",
"(C)30,600",
"(D)46,800 Questions 23 and 24 refer to the following information."
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$r(p)=2.5 p-870$",
"(B)$r(p)=5 p+165$",
"(C)$r(p)=6.5 p+440$",
"(D)$r(p)=7.5 p-10$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\$ 350,000$",
"(B)$\\$ 291,700$",
"(C)$\\$ 233,300$",
"(D)$\\$ 175,000$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$p>0.20(300-36)$, where $p \\leq 150$",
"(B)$p>0.20(300+36)$, where $p \\leq 150$",
"(C)$p-36>0.20(300)$, where $p \\leq 150$",
"(D)$p+36>0.20(300)$, where $p \\leq 150$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{a}{4}$",
"(B)$a$",
"(C)$4 a$",
"(D)$6 a$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)20",
"(B)24",
"(C)32",
"(D)36"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$(-20,-16)$",
"(B)$(-10,-8)$",
"(C)$(10,8)$",
"(D)$(20,16)$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$y=(x+a)(x-a)$",
"(B)$y=(x+\\sqrt{a})(x-\\sqrt{a})$",
"(C)$y=\\left(x+\\frac{a}{2}\\right)\\left(x-\\frac{a}{2}\\right)$",
"(D)$y=(x+a)^{2}$ DIRECTIONS"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)The number of minutes spent running each day",
"(B)The number of minutes spent biking each day",
"(C)The total number of minutes spent running and biking each day",
"(D)The number of minutes spent biking for each minute spent running"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$3 x-3$",
"(B)$3 x-1$",
"(C)$3 x+9$",
"(D)$15 x-6$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$(-3,0)$",
"(B)$(0,3)$",
"(C)$(6,-3)$",
"(D)$(36,-6)$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$-14-18 i$",
"(B)$-4-6 i$",
"(C)$4+6 i$",
"(D)$14+18 i$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-5",
"(B)-2",
"(C)2",
"(D)5"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\$ 10,800$",
"(B)$\\$ 16,200$",
"(C)$\\$ 21,600$",
"(D)$\\$ 29,700$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$(x+3)^{2}+5$",
"(B)$(x+3)^{2}-5$",
"(C)$(x-3)^{2}+5$",
"(D)$(x-3)^{2}-5$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)38",
"(B)33",
"(C)22",
"(D)16"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$640 x+880 y \\geq 9,700$ $x+y \\leq 10$ $x \\geq 3$ $y \\geq 1$",
"(B)$640 x+880 y \\leq 9,700$ $x+y \\geq 10$ $x \\geq 3$ $y \\geq 1$",
"(C)$640 x+880 y \\geq 9,700$ $x+y \\geq 10$ $x \\leq 3$ $y \\leq 1$",
"(D)$640 x+880 y \\leq 9,700$ $x+y \\leq 10$ $x \\leq 3$ $y \\leq 1$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$x-1$",
"(B)$x+1$",
"(C)$x-3$",
"(D)$x+5$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$-4<x<-3$",
"(B)$-3<x<1$",
"(C)$1<x<3$",
"(D)$3<x<4$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$x-5-\\frac{20}{x-3}$",
"(B)$x-5-\\frac{10}{x-3}$",
"(C)$x+1-\\frac{8}{x-3}$",
"(D)$x+1-\\frac{2}{x-3}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$0<x \\leq 10$",
"(B)$0<x \\leq 11 \\frac{2}{3}$",
"(C)$0<x \\leq 17 \\frac{1}{2}$",
"(D)$0<x \\leq 20$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)2",
"(B)6",
"(C)$\\sqrt{2}$",
"(D)$\\sqrt{6}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{2}{41}$",
"(B)$\\frac{2}{25}$",
"(C)$\\frac{7}{41}$",
"(D)$\\frac{2}{7}$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$4 x^{2}-8$",
"(B)$4 x^{2}-2$",
"(C)$-2 x^{2}-8$",
"(D)$-2 x^{2}-2$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)100",
"(B)150",
"(C)200",
"(D)300"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)At least $95 \\%$ of people who go see movies will dislike this movie.",
"(B)At least $95 \\%$ of people who read books will dislike this movie.",
"(C)Most people who dislike this book will like this movie.",
"(D)Most people who like this book will dislike this movie."
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)I only",
"(B)II only",
"(C)I and II only",
"(D)I and III only"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-11",
"(B)-5",
"(C)-1",
"(D)0"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)3",
"(B)6",
"(C)8",
"(D)12"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)1.2",
"(B)15",
"(C)48",
"(D)72"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$75-s=c$ $20 s+30 c=1,870$",
"(B)$75-s=c$ $30 s+20 c=1,870$",
"(C)$\\quad s-c=75$ $25(s+c)=1,870$",
"(D)$\\quad s-c=75$ $30 s+20 c=1,870$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\$ 47.60$",
"(B)$\\$ 50.00$",
"(C)$\\$ 52.60$",
"(D)$\\$ 52.84$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)75",
"(B)100",
"(C)200",
"(D)390"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)2",
"(B)12",
"(C)32",
"(D)52"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)A flat fee of $\\$ 19.99$",
"(B)A charge per mile of $\\$ 1.50$",
"(C)A charge per mile of $\\$ 19.99$",
"(D)Total daily charges of $\\$ 21.49$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$w=30 A-4$",
"(B)$w=30 A+4$",
"(C)$w=30(A-4)$",
"(D)$w=30(A+4)$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{4+w}{2}$",
"(B)$\\frac{4+w}{1,800}$",
"(C)$2(4+w)$",
"(D)$\\frac{(4+w)^{2}}{2}$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$0.05 \\%$",
"(B)$0.95 \\%$",
"(C)$1.22 \\%$",
"(D)$7.45 \\%$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$7.5 \\mathrm{~cm}^{3}$",
"(B)$185 \\mathrm{~cm}^{3}$",
"(C)$640 \\mathrm{~cm}^{3}$",
"(D)$750 \\mathrm{~cm}^{3}$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)The initial height, in feet, of the object",
"(B)The maximum height, in feet, of the object",
"(C)The initial speed, in feet per second, of the object",
"(D)The maximum speed, in feet per second, of the object"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$k=0.24 x$",
"(B)$k=4.2 x$",
"(C)$x=4.2 k$",
"(D)$x k=4.2$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$f=20+\\frac{4}{9}(p+c)$",
"(B)$f=20-\\frac{4}{9}(p+c)$",
"(C)$f=20-\\frac{4}{9}(p-c)$",
"(D)$f=20+\\frac{9}{4}(p+c)$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$P(t)=4(1.019)^{t}$",
"(B)$P(t)=4(1.9)^{t}$",
"(C)$P(t)=1.19 t+4$",
"(D)$P(t)=1.019 t+4$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$(-7,3)$",
"(B)$(-3,1)$",
"(C)$(0,0)$",
"(D)$(3,2)$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)6,020",
"(B)6,027",
"(C)6,440",
"(D)6,468 DIRECTIONS"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$-\\frac{5}{7}$",
"(B)1",
"(C)$\\frac{12}{7}$",
"(D)3"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$P=6 E-O-4 M$",
"(B)$P=-6 E+O+4 M$",
"(C)$P=\\frac{O+4 M+E}{6}$",
"(D)$P=\\frac{O+4 M-E}{6}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$2 w+6$",
"(B)$4 w+12$",
"(C)$w^{2}+6$",
"(D)$w^{2}+6 w$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$y>6$",
"(B)$y>4$",
"(C)$y>\\frac{5}{2}$",
"(D)$y>\\frac{3}{2}$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\{-1\\}$",
"(B)$\\{5\\}$",
"(C)$\\{-1,5\\}$",
"(D)$\\{0,-1,5\\}$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{1}{x+1}$",
"(B)$\\frac{x+3}{x+1}$",
"(C)$\\frac{x(x-3)}{x+1}$",
"(D)$\\frac{x(x+3)}{x+1}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)30",
"(B)20",
"(C)19",
"(D)18 11"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{1}{8}$",
"(B)$\\frac{1}{4}$",
"(C)2",
"(D)4"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$f(t)=\\frac{21}{130} t+4$",
"(B)$f(t)=\\frac{19}{130} t+4$",
"(C)$f(t)=-\\frac{21}{130} t+4$",
"(D)$f(t)=-\\frac{19}{130} t+4$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)There are exactly 4 solutions.",
"(B)There are exactly 2 solutions.",
"(C)There is exactly 1 solution.",
"(D)There are no solutions."
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-2",
"(B)0",
"(C)1",
"(D)2"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$2 c$",
"(B)$2+c$",
"(C)$\\frac{2}{c}$",
"(D)$\\frac{c}{2}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)150",
"(B)200",
"(C)250",
"(D)300"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$(75 B)(40 L)=1,950$ $B+L=350$",
"(B)$40 B+75 L=19,250$ $B+L=350$",
"(C)$75 B+40 L=350$ $B+L=19,250$",
"(D)$75 B+40 L=19,250$ $B+L=350$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$y=\\frac{1}{3} x$",
"(B)$y=x-3$",
"(C)$y=3 x+2$",
"(D)$y=6 x+3$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$1-\\sqrt{2}$",
"(B)$\\sqrt{2}$",
"(C)2",
"(D)4"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$x+y<57$ $50,000 x+100,000 y<3,000,000$",
"(B)$x+y>57$ $50,000 x+100,000 y>3,000,000$",
"(C)$x+y<57$ $50,000 x+100,000 y>3,000,000$",
"(D)$x+y>57$ $50,000 x+100,000 y<3,000,000$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-1",
"(B)4",
"(C)5",
"(D)20"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$5 x^{2}-5 x$",
"(B)$5 x^{2}+5 x$",
"(C)$5 x$",
"(D)$5 x^{2}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)It has a negative slope and a positive $y$-intercept.",
"(B)It has a negative slope and a negative $y$-intercept.",
"(C)It has a positive slope and a positive $y$-intercept.",
"(D)It has a positive slope and a negative $y$-intercept."
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$h=8 s+15$",
"(B)$h=15 s+\\frac{335}{8}$",
"(C)$h=8 s+\\frac{335}{15}$",
"(D)$h=15 s+8$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\$ 75$",
"(B)$\\$ 125$",
"(C)$\\$ 150$",
"(D)$\\$ 275$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)1,280",
"(B)80",
"(C)20",
"(D)0.05"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)1",
"(B)2",
"(C)4",
"(D)8"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)18",
"(B)20",
"(C)24",
"(D)40"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)0 and 2",
"(B)0 and 4",
"(C)-4 and 4",
"(D)4"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{2 x+5}{2 x+1}$",
"(B)$\\frac{2 x+6}{2 x+1}$",
"(C)$\\frac{10 x+5}{2 x+1}$",
"(D)$\\frac{10 x+6}{2 x+1}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\{-1,2\\}$",
"(B)$\\{-1\\}$",
"(C)$\\{2\\}$",
"(D)There are no solutions to the given equation."
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)3",
"(B)8",
"(C)10",
"(D)27"
] | [
1
] |
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