Answer :

Answer:

center = (5,−2)

r = 4

Step-by-step explanation:

(x − h)^2 + (y − k)^2 = r^2

(h,k) = center

r = radius

x^2 + y^2 - 10x + 4y = -13

complete the square for the x terms = (10/2)^2=25

(x^2−10x+25) + (y^2+4y) = −13 + 25

complete y terms = (4/2)^2=4

(x^2−10x+25) + (y^2+4y+4) = −13 + 25 + 4

(x−5)^2 + (y+2)^2 = 16

(h,k) = (5,−2)

r = [tex]\sqrt{16}[/tex] = 4