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olya-2409 [2.1K]
3 years ago
14

What is the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i?

Mathematics
1 answer:
patriot [66]3 years ago
3 0

The change in x, as we move from left to right, is 7-4, or +3.

The corresponding change in y is -2i-2i = -4i.

Use the Pythagorean Theorem to find the length of this line segment:


d = distance from 4+2i to 7-2i= sqrt( [3]^2 + sqrt( [-4]^2 ) = sqrt(9+16) = 25 (ans.)

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