Question

Somebody help me please!!!!!!!!!

Answer 1

`(x-5)^2+(y+3)^2=10`

Explanation:

equation of a circle: (x – h)^2 + (y – k)^2 = r^2 where (h,k) is the center

The center of the circle is at (5, -3)

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

To find the radius, use distance formula:
`\sqrt{(x_(1)-x_(2))^2 + (y_(1)-y_(2))^2}`

`√((6-5)^2 + (3)^2)`

`√(1^2 + 3^2) = √(1+9) = √(10)`

`(x-5)^2+(y+3)^2=10`