Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.5 - Complex Numbers in Polar Form; DeMoivre's Theorem - Exercise Set - Page 767: 9

Answer

$$|z|=5$$
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Work Step by Step

We plot the complex number $z=-3+4i$ the same way we plot $(-3,4)$ in the rectangular coordinate system. We find the absolute value of the complex number as follows.$$|z|=|a+bi|=\sqrt{a^2+b^2} \\ \Rightarrow \quad |z|=|-3+4i|=\sqrt{(-3)^2+4^2}=5$$
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