Answer:
[tex]\large\boxed{(x+1)^2+(y-7)^2=100}[/tex]
Step-by-step explanation:
The equation of a circle in standard form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the center (-1, 7) and the radius r = 10. Substitute:
[tex](x-(-1))^2+(y-7)^2=10^2\\\\(x+1)^2+(y-7)^2=100[/tex]
