Problem 27
Question
Solve each equation for the given variable. $$ \frac{c}{E}-\frac{1}{m c}=0 ; E $$
Step-by-Step Solution
Verified Answer
Therefore, the solution to the equation is \(E = m\)
1Step 1: Restate the equation
We start with the original equation \(\frac{c}{E} - \frac{1}{m c} = 0\).
2Step 2: Combine fractions with same denominator
Next, re-write the equation in the form \(\frac{1}{E} - \frac{1}{m} = 0\) by dividing each side of the equation by 'c'.
3Step 3: Remove fractions
To get rid of the fractions, multiply every term in the equation by 'Em', it becomes \(m - E = 0\).
4Step 4: Isolate variable E
To isolate 'E', we can simply rearrange the equation like so: \(E = m\). This is the solution to the equation for 'E'.
Other exercises in this chapter
Problem 26
Write an equation for a horizontal translation of \(y=\frac{2}{x}\) Then write an equation for a vertical translation of \(y=\frac{2}{x}\) . Identify the horizo
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Multiply or divide. State any restrictions on the variable. $$ \frac{a+3}{a^{2}+a-12} \div \frac{a^{2}-9}{a^{2}+7 a+12} $$
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Simplify each complex fraction. \(\frac{3}{\frac{2}{x}+y}\)
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Sketch the graph of each rational function. $$ y=\frac{x+4}{x-4} $$
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