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musickatia [10]
3 years ago
13

One polygon has a side of length 3 feet.A similar polygon has a corresponding side of length 9 feet.the ratio of the perimeter o

f the smaller polygon to the larger is
Mathematics
1 answer:
Olegator [25]3 years ago
8 0
The ratio of the smaller to the larger is 3:9.  That can also be written as a fraction, \frac{3}{9}, which of course can be reduced to \frac{1}{3} or 1:3.  That's your ratio.
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Answer:

8.  Domain: (-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

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Step-by-step explanation:

<u>Question 8</u>

Given rational function:

f(x)=\dfrac{x}{x^2+20x+75}

Factor the denominator of the given rational function:

\implies x^2+20x+75

\implies x^2+5x+15x+75

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<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.

The function is <u>undefined</u> when the <u>denominator equals zero</u>:

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Therefore, the <u>domain of the given rational function</u> is:

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---------------------------------------------------------------------------------

<u>Question 9</u>

Given function:

f(x)=\sqrt{13x-7}+1

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As the <u>square root of a negative number</u> is <u>undefined</u>:

\implies 13x-7\geq 0

\implies 13x\geq 7

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Therefore, the <u>domain of the given function</u> is:

\left[\dfrac{7}{13},\infty\right)

<u>Range</u>: set of all possible output values (y-values)

\textsf{As }\:\sqrt{13x-7}\geq 0

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