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Greeley [361]
3 years ago
5

Factor completely. a^2 - 25b^2

Mathematics
1 answer:
pshichka [43]3 years ago
5 0
Hello : 
<span>Factor completely. a^2 - 25b^2 :
a²-25b²=a²-(5b)² = (a-5b)(a+5b)</span>
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The height of a triangular window is 3 feet less than its base. The area the window is 20 ft.? find the dimensions of the window
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Let us assume base of the window = b feet.

Height is 3 feet less than base, that is = (b-3).

Given area of the triangle = 20 feet square.

We know formula for area of a triangle:

Area = \frac{1}{2} × Base × Height

Plugging values in formula, we get

20 = \frac{1}{2} b \times (b-3)

\mathrm{Multiply\:both\:sides\:by\:}2

40=b\left(b-3\right)

40=b^2-3b

b^2-3b-40=0

Factoring quadratic, we get

\left(b+5\right)\left(b-8\right)=0

b+5=0

b=-5

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b=8.

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<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>
6 0
3 years ago
Line n is parallel to Line P. Find the measure of each angle.<br> Please help
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4 0
2 years ago
Read 2 more answers
5 Eric is building a fence around the perimeter of a garden in his backyard. The yard is shaped like a rectangle with a width of
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3 years ago
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Hope this helps




8 0
3 years ago
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