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Dvinal [7]
3 years ago
14

Completely factor this polynomial: 16x2-25y2

Mathematics
1 answer:
Furkat [3]3 years ago
3 0
16x^2-25y^2=(4x)^2-(5y)^2=(4x-5y)(4x+5y)
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3 years ago
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Base of triangle exceeds the height by 4. If the area is 178.5 square inches, find the length of the base and the height of the
xxMikexx [17]
Area of a triangle:
A= (1/2)(bh)

In this problem we are given:
A= 178.5 in^{2}
b= h+4 in
h= UNKNOWN ("h")

Plug in our values into the area equation and solve for "h":
A= \frac{1}{2} bh
178.5 = \frac{1}{2} ((h+4)h) (multiply each side by 2 to get rid of the 1/2)
357 =  ((h+4)h)
357 =  h^{2} +4h
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(357/21=17)
0= (h+21)(h-17) (solve both inequalities separately)

0= (h+21)
-21= h ( a negative height is not possible so, this answer is incorrect.)

0=(h-17)
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