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A circle has a diameter with endpoints of (-1, 5) and (5, 3). What is the center of the circle?

(2, 4)
(4, 4)
(2, 5)
(5, 1)

Respuesta :

MathPhys

Answer:

(2, 4)

Step-by-step explanation:

The center is the midpoint of the diameter.

(x, y) = ((-1 + 5)/2, (5 + 3)/2)

(x, y) = (2, 4)

kudzordzifrancis

ANSWER

The center is (2,4)

EXPLANATION

The given circle has a diameter with endpoints of (-1, 5) and (5, 3).

We use the midpoint formula to find the center of the circle

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

We plug in the points to obtain;

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

This simplifies to ;

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

[tex]( 2 ,4)[/tex]