Respuesta :

Answer:

Step-by-step explanation:

The equation for a circle is

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

We have an h, k, x, and y; we need to find r-squared.  Filling in:

[tex](-6-9)^2+(2-7)^2=r^2[/tex]  which simplifies to

[tex]-15^2+-5^2=r^2[/tex]  which simplifies to

[tex]225+25=r^2[/tex]  which means that

[tex]r^2=250[/tex]

Our equation, then, is

[tex](x-9)^2+(y-7)^2=250[/tex]