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Ugo [173]
3 years ago
5

What's (-5, 3) reflected along x-axis

Mathematics
2 answers:
Anna71 [15]3 years ago
4 0
Whenever you reflect a point over the x axis, the x coordinate stays the same and the y coordinate is negated. In this case, the y coordinate which is 3 will be negated to become -3, and the x coordinate which is -5 will remain the same. Therefore, the new point is (-5,-3).

I hope this helps.
ira [324]3 years ago
4 0
The rule for reflecting a point across the x-axis is <em>(x,-y)</em>. We then apply this rule to our given coordinate, giving us the new location of (-5,-3).

:) 
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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
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L = w + 12
L = 6.489995 + 12
L = 18.489995

check
Area = L * W
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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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