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maks197457 [2]
3 years ago
13

Please PLEASE help me with this!!!!!

Mathematics
1 answer:
Airida [17]3 years ago
3 0

Answer:

- 2 + 1i

Step-by-step explanation:

A complex number x + yi can be expressed in coordinate form as

x + yi → (x, y ), thus

- 7 + 4i → (- 7, 4 )

3 - 2i → (3, - 2 )

Given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

Here (x₁, y₁ ) = (- 7,4) and (x₂, y₂ ) = (3, - 2 )

midpoint = [ 0.5(- 7 + 3), 0.5(4 - 2) ] = [0.5(- 4), 0.5(2) ] = (- 2, 1 )

and (- 2, 1 ) → - 2 + 1i → - 2 + i

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