Answer: E. (x+5)^2 + (y-5)^2 = 9
Explanation:
The equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
We are given that the center is (-5,5), which means that h = -5 and k = 5.
We are also given that the radius (r) = 3, which means r^2 = 9.
Therefore, the equation should be (x-(-5))^2 + (y-5)^2 = 9.
--> (x+5)^2 + (y-5)^2 = 9