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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

5. Rewriting Equations and Formulas

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Exercise 32 Page 41

Let's solve for

m_{1}

by applying inverse operations.

F = G (\frac{m _{1} m _{2}}{d ^{2}})

$LHS / G = RHS / G$

\frac{F}{G} = \frac{m _{1} m _{2}}{d ^{2}}

$LHS \cdot d^{2} = RHS \cdot d^{2}$

\frac{F}{G} \cdot d^{2} = m_{1} m_{2}

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$\frac{a}{c} \cdot b = \frac{a \cdot b}{c}$

\frac{F d ^{2}}{G} = m_{1} m_{2}

$LHS / m_{2} = RHS / m_{2}$

(\frac{F d ^{2}}{G}) / m_{2} = m_{1}

$\frac{a}{b} / c = \frac{a}{b \cdot c}$

\frac{F d ^{2}}{G m _{2}} = m_{1}

Rearrange equation

m_{1} = \frac{F d ^{2}}{G m _{2}}

Subchapter links

Communicate Your Answer p.35

Monitoring Progress p.36-39

Exercises p.40-42