Question

PLEASE HELP ASAP!

Answer 1

Answer:

$(x-4)^2+(y+7)^2=43$

Step-by-step explanation:

The standard equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

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:

$(x-(4))^2+(y-(-7))^2=(\sqrt{43})^2$

Simplify. Hence, our equation is:

$(x-4)^2+(y+7)^2=43$