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Juliette [100K]
3 years ago
14

Calculate the distance between (−3 + 4i) and (3 −3i) on the coordinate plane.

Mathematics
1 answer:
Nikitich [7]3 years ago
7 0
Another one for my "impossible math problems" file.

The distance between real parts of these numbers is 3-(-3) = 6.
The distance between imaginary parts of these numbers is (4-(-3)) = 7.
The straight-line distance on the complex plane between these numbers is given by the Pythagorean theorem as
  distance = √(6² + 7²)
  distance = √85 ≈ 9.2195

_____
If your answer choices are supposed to have radical signs, then the best choice is ...
  D) √85

Otherwise, no offered choice is correct.
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To solve this, one must understand the following

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Having pointed out this,

The string to overload goes thus

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To represent this properly, we have

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It should be noted that index starts at 0.

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This gives

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