Respuesta :

        (x - h)² + (y - k)² = 25
(x - (-4))² + (y + (-6))² = 25
      (x + 4)² + (y - 6)² = 25

(h, k) = (-4, 6)

The answer is B.

Answer:

center of the circle is (-4,6)

Second option is correct.

Step-by-step explanation:

The given equation of circle is [tex](x+4)^2+(y-6)^2=25[/tex]

The general form of a circle is given by the equation

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here (h,k) is the center and r is the radius.

On comparing the equation with this general form, we get

h = -4, k = 6

Therefore, the center of the circle is (-4,6)

Second option is correct.