Answer:
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] with the really important part being the x- and the y-. If our first set of parenthesis is
[tex](x+9)^2[/tex], by the definition of the standard form of a circle, it actually is
[tex](x-(-9))^2[/tex] which is obviously negative (that's the h of the center of the circle);
If our second set of parenthesis is
[tex](y+5)^2[/tex], by the definition of the standard form of a circle, it actually is
[tex](y-(-5))^2[/tex] which is obviously negative (that's the k of the center of the circle). The radius is the square root of the constant on the right, 64. The square root of 64 is 8, so
Center (-9, -5), radius 8
