Respuesta :

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

Learn more about changing subject of an expression at:

  • brainly.com/question/11566221
  • brainly.com/question/12973601

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