Question

Need help plz show all work

Answer 1

Answer:

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:

$\frac{5-3}{2} =1$ (x-values)

$\frac{5+7}{2} =6$  (y-values)

Therfore the center is at point (1,6)

Answer 2

Answer:

(1, 6 )

Step-by-step explanation:

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

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

( $\frac{x_{1}+x_{2} }{2}$, $\frac{y_{1}+y_{2} }{2}$ )

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

midpoint = ( $\frac{-3+5}{2}$, $\frac{5+7}{2}$ ) = ($\frac{2}{2}$, $\frac{12}{2}$ ) = (1, 6 )

The centre of the circle is (1, 6 )