Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.6 Perform Operations with Complex Numbers - 4.6 Exercises - Skill Practice - Page 280: 43



Work Step by Step

The absolute value of a complex number $z=a+bi,$ denoted $|z|,$ is a nonnegative real number defined as $|z|=\sqrt{a^{2}+b^{2}}$. $|z|=|-3+10i|$ $=\sqrt{a^{2}+b^{2}}\qquad$ ...substitute $-3$ for $a$ and $10$ for $b$ $=\sqrt{(-3)^{2}+10^{2}}\qquad$ ...simplify. $=\sqrt{9+100}$ $=\sqrt{109}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.