So the expression after making t the subject is:
[tex]t=\frac{\sqrt{b}}{3}[/tex]
Further explanation:
In order to make a variable the subject of an equation, we have to isolate the variable on one side of the equation.
Given
[tex]b=9t^2[/tex]
Here b is the subject of the formula.
To make t subject of the expression
[tex]b=9t^2\\Dividing\ both\ sides\ by\ 9\\\frac{b}{9}=\frac{9t^2}{9}\\t^2=\frac{b}{9}[/tex]
Taking square root on both sides
[tex]\sqrt{t^2} = \sqrt{\frac{b}{9}}\\t=\frac{\sqrt{b}}{\sqrt{9}}\\t=\frac{\sqrt{b}}{3}[/tex]
So the expression after making t the subject is:
[tex]t=\frac{\sqrt{b}}{3}[/tex]
Keywords: Polynomial expressions, subject of formula
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