Question

Solve the following formula for H. r=n/2(b+H)

Answer 1

See below.

Explanation:

What you wrote means:

`r = (n)/(2)(b + H)`

If that is what you meant, then the answer is:

`(2r)/(n) = b + H`

`H = (2r)/(n) - b`

On the other hand, if this is what you meant:

`r = (n)/(2(b + H))`

then the answer is:

`2r(b + H) = n`

`2rb + 2rH = n`

`2rH = n - 2rb`

`H = (n - 2rb)/(2r)`

Answer 2

Explanation:

`(n)/(2)(b + H) = r\\\\b +H = r * (2)/(n)\\\\b + H = (2r)/(n)\\\\H = (2r)/(n) - b`