Respuesta :

Step-by-step explanation:

The general equation of a circle with centre (h,k) and radius r

(x-h)²+(y-k)²=r²

Here, (x+5)²+(y-13)²= 10

=>{x-(-5)}²+(y-13)²=(√10)²

center: ( -5,13)

radius: √10

option C