Question

Need help plz show all work

Answer 1

(1, 6 )

Explanation:

The centre of the circle is at the midpoint of the diameter

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

(
`(x_(1)+x_(2) )/(2)`,
`(y_(1)+y_(2) )/(2)` )

Here (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (5, 7) , then

midpoint = (
`(-3+5)/(2)`,
`(5+7)/(2)` ) = (
`(2)/(2)`,
`(12)/(2)` ) = (1, 6 )

The centre of the circle is (1, 6 )

Answer 2

The center of the circle is at the coordinate: (1,6)

Explaination:

To find the answer all you need to do is add the x values together and divide by two and add the y values together and divide by two:

`(5-3)/(2) =1` (x-values)

`(5+7)/(2) =6` (y-values)

Therfore the center is at point (1,6)