Respuesta :

Answer:

The center of circle D is (-0.5,3)

Step-by-step explanation:

Given the end points of diameter: (-5,8) and (4,-2)

To find: Center of the circle.

Center is in the middle of the diameter. Therefore we have to find the midpoint of the diameter.(refer figure)

Midpoint of a line with end points (x1, y1) and (x2, y2) is given by

(   [tex]\frac{x1+x2}{2}[/tex] , [tex]\frac{y1+y2}{2}[/tex]  )

(   [tex]\frac{-5+4}{2}[/tex]  , [tex]\frac{8-2}{2}[/tex]   )

(-0.5,3)

Hence the center of circle D is ( -0.5,3)

Ver imagen thamimspartan
akposevictor

Using the mid-point formula, the point that represents the center of circle D is: (-1/2, 3).

What is the Mid-point Formula?

Midpoint formula is given as: [tex](\frac{x_2 - x_1}{2}, \frac{y_2 - y_1}{2} )\\[/tex]

Given the following endpoints of the diameter:

(–5, 8) = (x1, y1)

(4, –2) = (x2, y2)

Plug in the values

[tex](\frac{4 + (-5)}{2}, \frac{-2 + 8}{2} )\\\\(\frac{-1}{2}, 3)\\\\[/tex]

Therefore, using the mid-point formula, the point that represents the center of circle D is: (-1/2, 3).

Learn more about the mid-point formula on:

https://brainly.com/question/13115533