Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

MATH HELP: Imaginary numbers?

There's a picture of the problem for reference. Correct answer is C. √13

I have no idea what to do with imaginary numbers.

Update:

Sorry, D. is the answer.

Attachment image

5 Answers

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  • 1 month ago

    The distance between 2 + 6i and -4 + 3i:

    abs(2 + 6 i - 4 + 3 i)= 3√5 ≈ 6.7082

    Answer choice: D. √45

  • Vaman
    Lv 7
    1 month ago

    Assume x=2, y=6 for the first and x=-4, y=3 for the second. The distance is sqrt(-4-2)^2+(3-6)^2)= sqrt (4+9)= sqrt 13. This is the answer.

  • 1 month ago

    This is the same as asking for the distance between points (2,6) and (-4,3). Use the usual distance formula or Pythagorean thm. 

  • 1 month ago

    You can think of it as the distance between (2, 6) and (-4, 3) in the cartesian plane. 

    d = √[(2 - (-4))² + (6 - 3)²]

    d = √(6² + 3²)

    d = √(36 + 9)

    d = √45

    Answer:

    D. √45 (or 3√5)

    The answer is NOT √13

    Perhaps they meant -2 + 6i and -4 + 3i, that would have a distance of √13

    Alternatively, maybe it was 2 + 6i and 4 + 3i. That also has a distance of √13

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  • alex
    Lv 7
    1 month ago

    d = √[(2-(-4))^2+(6-3)^2] = √(36+9)=√45

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