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QUESTION IMAGE

solve the following equation for b. be sure to take into account whethe…

Question

solve the following equation for b. be sure to take into account whether a letter is capita
\\(\frac{g^2}{b} = \frac{m}{r}\\)

Explanation:

Step1: Cross - multiply to eliminate fractions

To solve for \(b\), we can cross - multiply the equation \(\frac{G^{2}}{b}=\frac{m}{R}\). Cross - multiplying gives us \(G^{2}\times R=m\times b\), which can be written as \(G^{2}R = mb\).

Step2: Isolate \(b\)

Divide both sides of the equation \(G^{2}R=mb\) by \(m\) (assuming \(m
eq0\)) to isolate \(b\). So, \(b=\frac{G^{2}R}{m}\).

Answer:

\(b = \dfrac{G^{2}R}{m}\)