Question 1 of 5Write each Equation in Standard Form
$$Center\hspace{-.15em}:(10,-9),Radius\hspace{-.15em}:1$$ $$Center\hspace{-.15em}:(10,-9)$$$$Radius\hspace{-.15em}:1$$
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Select the Correct Answer Below: Correct! Not Correct!
A
$$(x+10)^2+(y-9)^2=1$$ $$(x+10)^2\hspace{.25em}+$$$$(y-9)^2=1$$
B
$$(x+9)^2+(y-10)^2=1$$ $$(x+9)^2\hspace{.25em}+$$$$(y-10)^2=1$$
C
$$(x-9)^2+(y+10)^2=1$$ $$(x-9)^2\hspace{.25em}+$$$$(y+10)^2=1$$
D
$$(x-10)^2+(y+9)^2=1$$ $$(x-10)^2\hspace{.25em}+$$$$(y+9)^2=1$$
E
$$(9x-1)^2+(10y-1)^2=0$$ $$(9x-1)^2\hspace{.25em}+$$$$(10y-1)^2=0$$
Question 2 of 5Write each Equation in Standard Form
$$Center\hspace{-.15em}:(2,-10),Radius\hspace{-.15em}:2\sqrt{19}$$ $$Center\hspace{-.15em}:(2,-10)$$$$Radius\hspace{-.15em}:2\sqrt{19}$$
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Select the Correct Answer Below: Correct! Not Correct!
A
$$(x+10)^2+(y+2)^2=38$$ $$(x+10)^2\hspace{.25em}+$$$$(y+2)^2=38$$
B
$$(x-10)^2+(y+2)^2=2\sqrt{19}$$ $$(x-10)^2\hspace{.25em}+$$$$(y+2)^2=2\sqrt{19}$$
C
$$(x-10)^2+(y+19)^2=2\sqrt{19}$$ $$(x-10)^2\hspace{.25em}+$$$$(y+19)^2=2\sqrt{19}$$
D
$$(x-2)^2+(y+10)^2=76$$ $$(x-2)^2\hspace{.25em}+$$$$(y+10)^2=76$$
E
$$2(x-\sqrt{19})^2+2(5y+\sqrt{19})^2=0$$ $$2(x-\sqrt{19})^2\hspace{.25em}+$$$$2(5y+\sqrt{19})^2=0$$
Question 3 of 5Determine which Equation Matches the Graph
Graph of a Circle
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Select the Correct Answer Below: Correct! Not Correct!
A
$$x^2+y^2=4$$ $$x^2+y^2=4$$
B
$$(x-2)^2+(y-2)^2=4$$ $$(x-2)^2\hspace{.25em}+$$$$(y-2)^2=4$$
C
$$(x-2)^2+(y-2)^2=2$$ $$(x-2)^2\hspace{.25em}+$$$$(y-2)^2=2$$
D
$$2x^2+2y^2=0$$ $$2x^2+2y^2=0$$
E
$$2(x-1)^2+2(y-1)^2=0$$ $$2(x-1)^2\hspace{.25em}+$$$$2(y-1)^2=0$$
Question 4 of 5Determine which Equation Matches the Graph
Graph of a Circle
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Select the Correct Answer Below: Correct! Not Correct!
A
$$(x-2)^2+(y-3)^2=4$$ $$(x-2)^2\hspace{.25em}+$$$$(y-3)^2=4$$
B
$$(x-3)^2+(y-2)^2=\sqrt{2}$$ $$(x-3)^2\hspace{.25em}+$$$$(y-2)^2=\sqrt{2}$$
C
$$3x^2+2y^2=16$$ $$3x^2+2y^2=16$$
D
$$(x+3)^2+(y+2)^2=4\sqrt{2}$$ $$(x+3)^2\hspace{.25em}+$$$$(y+2)^2=4\sqrt{2}$$
E
$$(x-3)^2+(y-2)^2=16$$ $$(x-3)^2\hspace{.25em}+$$$$(y-2)^2=16$$
Question 5 of 5Determine which Equation Matches the Graph
Graph of a Circle
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Select the Correct Answer Below: Correct! Not Correct!
A
$$(x-3)^2+(y-4)^2=9$$ $$(x-3)^2\hspace{.25em}+$$$$(y-4)^2=9$$
B
$$(x-1)^2+(y+4)^2=3$$ $$(x-1)^2\hspace{.25em}+$$$$(y+4)^2=3$$
C
$$x^2+(y-4)^2=9$$ $$x^2+(y-4)^2=9$$
D
$$3x^2+4y^2=\sqrt{3}$$ $$3x^2\hspace{.25em}+4y^2=\sqrt{3}$$
E
$$(x-3)^2+(y-4)^2=3\sqrt{3}$$ $$(x-3)^2\hspace{.25em}+$$$$(y-4)^2=3\sqrt{3}$$

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