Hello!
Question 1
The equation of a circle is
(x - a)^2 + (y - b)^2 = r^2
(a, b) is the center
The answer is C) (x + 6)^2 + (y - 7)^2 = 81
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Question 2
We have to find the radius
[tex]r = \sqrt{(xsub2 - xsub1)^2 + (ysub2 - ysub1)^2} [/tex]
sub 1 is the point
sub 2 is the center
[tex]r= \sqrt{(-6 - 0)^2 + (-8 - 0)^2} [/tex]
[tex]r = \sqrt{36 + 64} [/tex]
r = 10
The radius is 10
The answer is D) (x + 6)^2 + (y + 8)^2 = 100
Hope this helps!