Answer :
ANSWER:
The value of x is 12
STEP-BY-STEP EXPLANATION:
We have the following function according to the statement:
[tex]y^2=k\cdot\frac{1}{x}[/tex]We first calculate the value of k, replacing (y = 10 and x = 3) and solving for k:
[tex]\begin{gathered} 10^2=k\cdot\frac{1}{3} \\ k\cdot\frac{1}{3}=100 \\ k=300 \end{gathered}[/tex]Since we have the value of k, we can plug in the value of k = 300 and of y = 5 to calculate the new value of x, just like this:
[tex]\begin{gathered} 5^2=300\cdot\frac{1}{x} \\ x=\frac{300}{25} \\ x=12 \end{gathered}[/tex]