Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.5 - Rewriting Equations and Formulas - Exercises - Page 41: 32

Answer

$m_1=\frac{Fd^2}{Gm_2}$

Work Step by Step

The given formula is $\Rightarrow F=G(\frac{m_1m_2}{d^2})$ Multiply each side by $\frac{d^2}{Gm_2}$. $\Rightarrow \frac{d^2}{Gm_2}\cdot F=\frac{d^2}{Gm_2}\cdot G(\frac{m_1m_2}{d^2})$ Cancel common terms. $\Rightarrow \frac{Fd^2}{Gm_2}=m_1$ Hence, the solution is $m_1=\frac{Fd^2}{Gm_2}$.
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