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m_a_m_a [10]
3 years ago
9

How can I solve h-17=-12

Mathematics
2 answers:
aniked [119]3 years ago
4 0
The quickest, simplest, easiest way is to add 17. to each side of the equation.
Sliva [168]3 years ago
4 0
So, to solve for H,
you need to undo the problem.
so since 17 is being subtracted,
you do the opposite if subtract
and add 17 to -12
so, 17+ (-12)= 5
To conclude H= 5
to check your answer add the 5 to replace the H
5-17=-12
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erastova [34]
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.

Formula
Area = L * W

Givens
W = W
L = W + 12

Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0

This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.

a = 1
b = 12
c = - 120

w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
w = [- 12 +/- 24.979992] / 2 The minus root has no meaning whatever.
w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done

L = w + 12
L = 6.489995 + 12
L = 18.489995

check
Area = L * W
Area = 6.489995*18.489995
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Answer
L = 18.489995 = 18.49 feet
W = 6.489995 = 6.49 feet

Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
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