Answer:
Explanation:
You get the center just by reading the given point.
(x - 5)^2 + (x + 2)^2 = r^2 Notice that the center switches signs.
(8,2) is given so that you can figure out the radius.
The radius uses the distance formula to get from (5,-2) to (8,2)
x1 = 5
x2 = 8
y1 = -2
y2 = 2
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formula
d^2 = (x1 - x2)^2 + (y1 - y2)^2
solution
d^2 = (5 - 8)^2 + (-2 - 2)^2
d^2 = (-3)^2 + (-4)^2
d^2 = 9 + 16
d^2 = 25
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Answer
(x - 5)^2 + (y + 2)^2 = 25