Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 8 - Application of Trigonometry - 8.5 Trigonometric (Polar) Form of Complex Numbers: Products and Quotients - 8.5 Exercises - Page 800: 27

Answer

$$ - 6 - 8i$$

Work Step by Step

$$\eqalign{ & {\text{Let }}{\bf{u}} = - 5 - 8i,{\text{ and }}{\bf{v}} = - 1 \cr & {\text{Find the sum }}{\bf{u}} + {\bf{v}} \cr & {\bf{w}} = {\bf{u}} + {\bf{v}} \cr & {\bf{w}} = \left( { - 5 - 8i} \right) + \left( { - 1} \right) \cr & {\bf{w}} = - 5 - 8i - 1 \cr & {\text{Add real parts}} \cr & {\bf{w}} = - 6 - 8i \cr & \cr & {\text{Graph}} \cr} $$
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