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Nonlinear equations in one variable and systems of equations in two variables SAT question

Math · Advanced Math · Medium · Answer it here, explanation included.

$v squared equals, the fraction with numerator L T, and denominator m$

The formula above expresses the square of the speed v of a wave moving along a string in terms of tension T, mass m, and length L of the string. What is T in terms of m, v, and L ?

ExplanationShow

Choice A is correct. To write the formula as T in terms of m, v, and L means to isolate T on one side of the equation. First, multiply both sides of the equation by m, which gives $m v squared, equals the fraction with numerator m L T, and denominator m$ , which simplifies to mv²= LT. Next, divide both sides of the equation by L, which gives $the fraction with numerator m v squared, and denominator L, equals the fraction with numerator L T, and denominator L$ , which simplifies to $T equals the fraction with numerator m v squared, and denominator L$ .

Choices B, C, and D are incorrect and may be the result of incorrectly applying operations to each side of the equation.

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Nonlinear equations in one variable and systems of equations in two variables SAT question

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