paris53
contestada

The endpoints of the diameter of a circle are (-7, 3) and (5, 1). What is the center of the circle?

(-6, 2)
(-2, 4)
(-1, 2)

Respuesta :

Answer:   C. (-1, 2)

Step-by-step-explanation:

The center is the midpoint of the endpoints

 

  →          [tex]\bigg(\dfrac{x_1+x_2}{2}[/tex]       ,      [tex]\dfrac{y_1+y_2}{2}\bigg)[/tex]

    →           [tex]\bigg(\dfrac{-7+5}{2}[/tex]         ,       [tex]\dfrac{3+1}{2}\bigg)[/tex]

    →               [tex]\bigg(\dfrac{-2}{2}[/tex]             ,          [tex]\dfrac{4}{2}\bigg)[/tex]

    →                (-1              ,            2)

The midpoint is (-1, 2)