Question

solve each equation for the indicated variable
c) $c = \frac{5}{9}(f - 32)$ for $f$
d) $k = \frac{mv^2}{2}$ for $m$

Explanation:

Step1: Isolate (F-32) term

Multiply both sides by $\frac{9}{5}$:
$\frac{9}{5}C = F - 32$

Step2: Solve for F

Add 32 to both sides:
$F = \frac{9}{5}C + 32$

Step3: Isolate $mv^2$ term

Multiply both sides by 2:
$2K = mv^2$

Step4: Solve for m

Divide both sides by $v^2$ ($v
eq 0$):
$m = \frac{2K}{v^2}$

Answer:

c) $F = \frac{9}{5}C + 32$
d) $m = \frac{2K}{v^2}$