Question

Give the equation the circle (X+5)^2+(y-1)^2=16, which correctly gives the center and radius of the circle

Answer 1

Explanation:

You have:

`(x+5)^2+(y-1)^2=16`

`(x+5)^2+(y-1)^2=4^2`

To find the center of the circle, you want to find the 'x' and 'y' values which make their respective term equal zero:

`(x+5)^2=0`

`(y-1)^2=0`

`x=-5`

`y=1`

The radius of the circle would be 4 due to the right side of the circle equation. Our circle is centered at (-5, 1) and has a radius of 4 units.