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Solve the equation for the indicated variable. (Leave ± in the answer as needed)

Solve the equation for the indicated variable. (Leave ± in the answer as needed)-example-1
User Patorjk
by
4.7k points

1 Answer

3 votes

The given expression is:


h=td^2

Therefore,


td^2=h

Dividing both sides of the equation by t:


(td^2)/(t)=(h)/(t)

Hence,


d^2=(h)/(t)

Thus,


d=\sqrt{(h)/(t)}=(√(h))/(√(t))

To rationalize the equation by √t:


\begin{gathered} d=(√(h))/(√(t))*(√(t))/(√(t))=(√(ht))/(t) \\ d=(√(ht))/(t) \end{gathered}

d =

User Alexander Pletnev
by
4.4k points