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nadezda [96]
3 years ago
12

How do you solve this? My algebra 2 teacher taught it to us in class but it still confuses me! Thank you!

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0

\bf \cfrac{\frac{1}{8}-\frac{1}{2x}}{\frac{1}{12x}-\frac{1}{3x^2}} \begin{array}{llll} \leftarrow \textit{our LCD here will just be }8x\\[0.9em] \leftarrow \textit{our LCD down here will be }12x^2 \end{array}

\bf \cfrac{~~\frac{(x)1-(4)1}{8x}~~}{\frac{(x)1-(4)1}{12x^2}}\implies \cfrac{~~\frac{x-4}{8x}~~}{\frac{x-4}{12x^2}}\implies \cfrac{~~\begin{matrix} x-4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{\underset{2}{~~\begin{matrix} 8x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{\stackrel{3x}{~~\begin{matrix} 12x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} x-4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \cfrac{3x}{2}

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damaskus [11]
(n+5) ^{2} = (n+5)(n+5)

Now we use FOIL to rewrite the expression.

FOIL is:
First
Outer
Inner
Last

That's the order we will be distributing the variables in the parentheses.

n^{2} + 5n +5n +25

Combine like terms:
n^{2}+10n+25

That's your final answer.

Hope that helps.

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3 years ago
What is the distance between the two points (-2 ,1 )and (4, 3)
kirill [66]

Solution:

Distance between two points = √(3−4)^2+(−2−3)^2

= √(−1)^2+(−5)^2

= √1+25

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3 years ago
Drag each equation to the correct to the correct location on the table
nikklg [1K]

Answer:

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6 0
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Inessa [10]

Answer:

\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}

Step-by-step explanation:

From the table you can see that

  • 45 customers own cat and dog;
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Two-way table is

\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}

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2 years ago
The height of bamboo is proportional to its age. Use the graph to determine how long it takes for bamboo to reach a height of 12
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Answer:

Answer: 30 weeks

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