Respuesta :

apologiabiology
so we got the real axis and the imaginary axis
we just need to find the average of the 2 points

remember
midpoint of (x1,y1) and (x2,y2) is

((x1+x2)/2,(y1+y2)/2)
so

average of 3 and -8 is -5/2
average of -5i and 2i is -3/2i

center is -5/2-3/2i
abidemiokin

The  center of the circle is -2.5 -1.5i

Given the diameter of a circle with endpoints at 3 – 5i and –8 + 2i, the centre of the circle will be gotten by taking the midpoint of the endpoints as shown:

For the real part:

x = (3-8)/2

x =-5/2

x = -2.5

Similarly for the imaginary part:

y = -5i+2i/2

y = -3i/2

y = -1.5i

Hence the  center of the circle is -2.5 -1.5i

Learn more here: https://brainly.com/question/3510899

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