Question

Which equation represents a circle with a center at -3,-5 and a radius of 5

Answer 1

Answer:
`(x+3)^2+(y+5)^2=25`

Explanation:

The equation of the in center-radius form is the shown below:

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

Where the center is at the point (h,k) and r is the radius of the circle.

Based on the information given in the problem, the center of the circle is at the point (-3,-5) and a radius of the circle is 5, then, you must substitute values into the equation shown above.

Therefore, you obtain the following equation:

`(x-(-3))^2+(y-(-5))^2=(5)^2`

`(x+3)^2+(y+5)^2=25`