Question

Solve M = 5rt^2- 2rv for v.

Can someone please help with this I’ll put it to 100 points

Answer 1

`v = -(M-5rt^2)/(2r)`

Explanation:

`M = 5rt^2 - 2rv`

Switch sides

`5rt^2-2rv=M`

Subtract
`5rt^2` from both sides

`5rt^2 - 2rv-5rt^2= M -5rt^2`

Simplify

`-2rv = M - 5rt^2`

Divide both sides by
`-2r`

`(-2rv)/(-2r) =(M)/(-2r) -(5rt^2)/(-2r)`

Simplify

`-(M-5rt^2)/(2r)`

Answer 2

(M-5rt^2)/(-2r) =v

Explanation:

M = 5rt^2- 2rv

Subtract 5rt^2 from each side

M-5rt^2 = 5rt^2- 2rv -5rt^2

M-5rt^2 = - 2rv

Divide each side by -2r

(M-5rt^2)/(-2r) =- 2rv / (-2r)

(M-5rt^2)/(-2r) =v