Respuesta :

Answer:

[tex]\frac{5}{2}[/tex] + [tex]\frac{7}{2}[/tex] i

Step-by-step explanation:

Expressing the complex numbers in coordinate form

3 + 8i → (3, 8 )

2 - i → (2, - 1 )

To find the midpoint use the midpoint formula

midpoint = [0.5(3 + 2), 0.5(8 - 1) ] = [0.5(5), 0.5(7) ] = ( [tex]\frac{5}{2}[/tex], [tex]\frac{7}{2}[/tex] )

and ([tex]\frac{5}{2}[/tex], [tex]\frac{7}{2}[/tex] ) = [tex]\frac{5}{2}[/tex] + [tex]\frac{7}{2}[/tex] i

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