Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Section 1.2 - Formulas and Percent - 1.2 Exercises - Page 62: 23



Work Step by Step

We can see that the equation $h=\frac{2A}{b}$ is not equivalent to (D), $h=\frac{\frac{1}{2}A}{b}$: $\frac{2A}{b}\stackrel{?}{=}\frac{\frac{1}{2}A}{b}$ Multiply by $b$: $b(\frac{2A}{b})\stackrel{?}{=}b(\frac{\frac{1}{2}A}{b})$ $2A\stackrel{?}{=}\frac{1}{2}A$ Divide by A: $(2A)/A\stackrel{?}{=}(\frac{1}{2}A)/A$ $2\stackrel{?}{=}\frac{1}{2}$ $2\ne \frac{1}{2}$ This is clearly false, so the equation is not equivalent to D.
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