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Serga [27]
2 years ago
5

Simplify (6(x^5)y^11)^4 using the Laws of Exponents Please help Needed for school tomorrow

Mathematics
1 answer:
iren [92.7K]2 years ago
6 0
[6(x^5)y^11]^4
[(6x^5)y^11]^4
(6x^5y^11)^4
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The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

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From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

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divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

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and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

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So height is 12 inches

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3 years ago
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