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FinnZ [79.3K]
2 years ago
9

Given z1 and z2, what is the midpoint? z1=5-7i and z2=-9+3i.

Mathematics
1 answer:
sveta [45]2 years ago
7 0

Answer:

7-2i

Step-by-step explanation:

As you're used to do in the real plane, midpoint is the average of Real and Imaginary part. So \frac{5+9}2 +i \frac{-7+3}2 = \frac{14}2+i\frac{-4}2 = 7-2i

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Not sure how I would solve this
suter [353]
<h3>Answers:</h3>

The first ordered pair is   ( -4 , -3 )

The second ordered pair is   ( 8, 3 )

=================================================

Explanation:

The first point is (x,-3) where x is unknown. It pairs up with y = -3 so we can use algebra to find x

x-2y = 2

x-2(-3) = 2 ... replace every y with -3; isolate x

x+6 = 2

x = 2-6

x = -4

The first point is (-4, -3)

---------------------------

We'll do something similar for the other point. This time we know x but don't know y. Plug x = 8 into the equation and solve for y

x-2y = 2

8-2y = 2

-2y = 2-8

-2y = -6

y = -6/(-2)

y = 3

The second point is (8, 3)

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Step-by-step explanation:

Refer to the photo.

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