The center of a circle represent by the equation (x+9) ^2 + (y-6) ^2=10^2 is___. options ... (-9,6), (-6,9), (6,-9), (9,-6)

(-9, 6)

Step-by-step explanation:

It's all about pattern matching.

A circle centered at (h, k) with radius r has the equation ...

(x - h) ^2 + (y - k) ^2 = r^2

Comparing this pattern to the equation you have, you can see that ...

h = - 9 k = 6 r = 10

Then the center is (h, k) = (-9, 6).

(-9, 6)

Step-by-step explanation:

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