SOLUTION: Solve each literal equation for the indicated variable. S = 2(pie)rH + 2(pie)r(squared) for H

Algebra ->  Linear-equations -> SOLUTION: Solve each literal equation for the indicated variable. S = 2(pie)rH + 2(pie)r(squared) for H      Log On


   

Question 991014: Solve each literal equation for the indicated variable.
S = 2(pie)rH + 2(pie)r(squared) for H
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
S = 2(pie)rH + 2(pie)r(squared) for H
S = %282%2Api%2Ar%2Ah%29+%2B+%282%2Api%2Ar%5E2%29
we can write it like this
%282%2Api%2Ar%2Ah%29+%2B+%282%2Api%2Ar%5E2%29 = S
subtract 2%2Api%2Ar%5E2 from each side
%282%2Api%2Ar%2Ah%29 = S+-+%282%2Api%2Ar%5E2%29
Divide both sides by 2%2Api%2Ar
h = %28S-%282%2Api%2Ar%5E2%29%29%2F%282%2Api%2Ar%29 = S%2F%282%2Api%2Ar%29-%28%282%2Api%2Ar%5E2%29%29%2F%282%2Api%2Ar%29
Cancel 2%2Api%2Ar%29 in the 2nd fraction and you have
h = S%2F%282%2Api%2Ar%29 - r