Answer:
[tex](x-4)^2+(y+7)^2=43[/tex]
Step-by-step explanation:
The standard equation of a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We are given that the center is (4, -7) and that the radius is √(43).
So, h = 4, k = -7, and r = √(43). Substitute:
[tex](x-(4))^2+(y-(-7))^2=(\sqrt{43})^2[/tex]
Simplify. Hence, our equation is:
[tex](x-4)^2+(y+7)^2=43[/tex]
