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fiasKO [112]
2 years ago
15

The following equation is true for all real values of k for which the expression on the left is defined, and A

Mathematics
1 answer:
Brut [27]2 years ago
3 0

Answer:

A = 6k(k + 6)

Step-by-step explanation:

We have to solve the given equation for the value of A,

\frac{6k^2-36k}{A}.\frac{k^2+12k+36}{k^2-36}=1

\frac{(6k^2-36k)(k^2+12k+36)}{A(k^2-36)}=1

(6k² - 36k)(k² + 12k + 36) = A(k² -36)

6k(k - 6)(k + 6)² = A(k - 6)(k + 6)

A = \frac{6k(k-6)(k+6)^2}{(k-6)(k+6)}

A = 6k(k + 6)

Therefore, value of A is 6k(k + 6).

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The perimeter of a building is 900 feet. If the length of the building is 400 feet, find the width. How many lights will be need
Helen [10]

Answer:

The width of the building is 50 lamps and 60 lamps will be needed.

Step-by-step explanation:

The perimeter is computed by the sum of the sides of the building, since the length and width are equal on the oposite sides of the building, the perimeter is given by:

perimeter = 2*length + 2*width

900 = 2*(400) + 2*width

2*width + 800 = 900

2*width = 900 - 800

2*width = 100

width = 100/2 = 50 feets

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number o lamps = 900/15 = 60 lamps

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Step-by-step explanation:

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