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svp [43]
3 years ago
12

How do I simplify this?

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0
\bf \cfrac{x^3+6x^2+3x+18}{3x^2+9}\div \cfrac{x+6}{x+1}\\\\
-----------------------------\\\\
(x^3+6x^2)+(3x+18)\implies x^2\underline{(x+6)}+3\underline{(x+6)}\leftarrow \textit{common \underline{factor}}
\\\\\\
(x+6)(x^2+3)\\\\
-----------------------------\\\\
thus\\\\\\
\cfrac{(x+6)(x^2+3)}{3(x^2+3)}\div \cfrac{x+6}{x+1}\implies \cfrac{(x+6)(x^2+3)}{3(x^2+3)}\cdot  \cfrac{x+1}{x+6}
\\\\\\
\cfrac{x+1}{3}
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An item is regularly priced at $15. It is on sale for 25%off the regular price
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Answer: $11.25

Step-by-step explanation:

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6 0
4 years ago
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Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.Wha
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Answer: The perimeter of the largest triangle = 117 units.

Step-by-step explanation:

Sides of smaller triangle = 10,20 and 15 units

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Longest side of larger triangle = 52 units

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Let k be proportionality constant.

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k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}

Length of other two sides,

10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}

So sides of larger triangle = 52 units, 26 units , 39 units

Perimeter of largest triangle = 52 +26+39 = 117 units

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4 0
3 years ago
Which of the following prove that (-3) + 5 = 2? Select all that apply.
MakcuM [25]

Answer:

D

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SSSSS [86.1K]

Answer:

Like terms are terms whose variables are the same.

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Step-by-step explanation:

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V125BC [204]
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cause

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