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3 years ago

The length of a rectangle is 5 meters less than 3 times the width. The perimeter is 54 meters. Find the width.

1 answer:

7 0

Perimeter of a rectangle =

P= 2 (L + w)

P= 54

L = 3w - 5

54 = 2 (3w - 5 + w)

(Combine like terms)

54 = 2 (4w - 5)

(Distribute the 2)

54 = 8w - 10

(Add 10 to both sides)

64 = 8w

(Divide 8 from both sides)

W = 8m

( L = 8(3) - 5 = 19m)

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Answer:

$(f\circ g)(x)=\frac{1}{x^{2}}+\frac{8}{x}+12$

Step-by-step explanation:

Given that $f (x) = x^{2}+6x+5$ and $g(x)=\frac{1}{x}+1$ are the functions.

To find $(f\circ g)(x)$ with the given two functions. ie., to find the composite function of f(x) and g(x) which is denoted by $(f\circ g)(x)$

$(f\circ g)(x)=f(g(x))$

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Therefore the composite function of f(x) and g(x) is $(f\circ g)(x)=\frac{1}{x^{2}}+\frac{8}{x}+12$

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Answer:

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Step-by-step explanation:

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~Use FOIL on the left side

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