What is the center and radius of a circle with the given equation:
x^2+y^2 -4x+10y=7

The center of circle is (2, -5) and radius is 6.

Step-by-step explanation:

Given : The equation of circle

We have to find the center and radius of a circle with the given equation

The standard equation of a circle with center (h,k) and radius r is given by

Grouping  x and y terms together, we get,

Convert x to square by adding 4 both side, we get,

Simplify, we get,

Convert y to square by adding 25 both side, we get,

Simplify, we get,

Rewrite in standard form, we get,

Therefore, (h, k) = ( 2,-5) and radius = 6

Thus, the center of circle is (2, -5) and radius is 6.

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.