Answer:
The center of the given circle is (-5,7)
Step-by-step explanation:
step1:-
The Equation of the circle having center and radius
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
In this circle form the center is (h,k) and r be a radius
step2:-
The given equation of the circle is (x+5)^2+(y-7)^2=36
comparing the general form of circle equation is
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
so the center of the given circle is (h,k) = (-5,7)