Question

4 solve the equation below for the indicated variable: (\frac{x}{w}=\frac{z}{y^{2}}) (for y) a) (y = sqrt{wz - x}) aaron rodgers b) (y=\frac{wz - x}{2}) eli manning c) (y=sqrt{\frac{wz}{x}}) andrew luck d) (y=sqrt{\frac{x}{wz}}) cam newton e) (y = (\frac{wz}{x})^{2}) russell wilson f) (y = 2(\frac{wz}{x})) tom brady

Explanation:

Step1: Cross - multiply the equation

Cross - multiplying the equation $\frac{x}{w}=\frac{z}{y^{2}}$ gives $x\times y^{2}=w\times z$.

Step2: Solve for $y^{2}$

Divide both sides of the equation $xy^{2}=wz$ by $x$ (assuming $x
eq0$) to get $y^{2}=\frac{wz}{x}$.

Step3: Solve for $y$

Take the square root of both sides. Since we are looking for the principal square root (assuming we are dealing with real - valued solutions in a context where only non - negative $y$ values are of interest in the problem setup), $y = \sqrt{\frac{wz}{x}}$.

Answer:

C. $y=\sqrt{\frac{wz}{x}}$