Answer is 3
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Step-by-step explanation:
The equation
(x+2)^2 + (y-5)^2=9
is the same as
(x-(-2))^2 + (y-5)^2=3^2
Compare this to
(x-h)^2 + (y-k)^2 = r^2
We see the center is (h,k) = (-2,5) and the radius is r = 3.