Respuesta :

t = 2[tex] \pi [/tex] [tex] \sqrt{m/k} [/tex]

1. Divide both sides by 2[tex] \pi [/tex]
--> t / 2[tex] \pi [/tex] = [tex] \sqrt{m/k} [/tex]

2. Square both sides
--> [tex] t^{2} [/tex] / 4[tex] \pi^{2} [/tex] = m / k

3. Multiply both sides by k
--> m = k[tex] t^{2} [/tex] / 4[tex] \pi ^{2} [/tex]

Divide both sides of the equation by 2pi.

Square both sides of the equation.

Use the rule to simplify a fraction to a power.

Multiply both sides of the equation by k.