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julia-pushkina [17]
4 years ago
9

What is the simplified form of this

Mathematics
1 answer:
vova2212 [387]4 years ago
7 0

y^5 is your answer hope it helps!

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An architect is designing square windows with an area of ( x 2 + 20x + 100) ft2 . The dimensions of the windows are of the form
umka21 [38]
A) The dimensions are (x+10) by (x+10).
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C) The perimeter when x is 4 is 56.

The quadratic can be factored by finding factors of <em>c</em>, the constant, that sum to <em>b</em>, the coefficient of <em>x</em>.  Our <em>c</em> is 100 and our <em>b</em> is 20; we want factors of 100 that sum to 20.  10*10=100 and 10+10=20, so those are what we need.  This gives us (x+10)(x+10 for the factored form.  
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10).  Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when <em>x</em>=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
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