Respuesta :

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)