Answer:
The equation is:
[tex](x+2)^2+(y-5)^2=49[/tex] (simplified if needed)
or
[tex](x+2)^2+(y-5)^2=7^2[/tex]
Step-by-step explanation:
The equation of a circle is :
[tex](x-h)^2+(y-k)^2=r^2[/tex] where the center is [tex](h,k)[/tex] and radius [tex]r[/tex].
-So, putting the radius 7 and the center (-2,5) on the equation, would be:
[tex](x+2)^2+(y-5)^2=7^2[/tex]
-when you put them onto that equation, the radius needs to be simplified by the exponent if needed:
[tex](x+2)^2+(y-5)^2=49[/tex]
