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
