SOLUTION: Find the absolute value -5+12i

Question 246785: Find the absolute value -5+12i
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
I think your answer is here.

http://www.regentsprep.org/rEGENTS/mathb/3C6/absvlecomlesson.htm

-5 + 12i is equivalent to a + bi where:

a = -5
b = 12

|-5+12i| = |z| where |z| = sqrt(a^2 + b^2) = sqrt((-5)^2 + 12^2) = sqrt (25 + 144) = sqrt (169) = 13

Apparently you are talking about a complex plane where the x-axis is the real part and the y-axis is the imaginary part of the complex number.

It's like a vector where you are looking for the length of the vector.
the graph forms a right triangle with the x-axis as the adjacent side and the line parallel to the y-axis as the opposite side.

the hypotenuse is the vector and the length of that is found by the pythagorean formula of a^2 + b^2 = c^2 with a being the real part and b being the imaginary part.
Read the reference. It explains it pretty well.
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