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morpeh [17]
3 years ago
13

Simplify show your work

Mathematics
1 answer:
Alexandra [31]3 years ago
5 0
Simplify the first fraction:
\frac{3n^{2}-n}{n^{2}-1} =  \frac{3n(n-1)}{(n+1)(n-1)} =  \frac{3n}{n+1}

Your equation becomes:
\frac{3n}{n+1} +  \frac{n^{2} }{n+1}  \\ = \frac{n^{2} + 3n}{n+1}  \\ =  \frac{n(n + 3)}{n+1}

That last fraction becomes your final answer. 
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In triangle abc, AC=15 BC=11 and m
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Answer: 10

Step-by-step explanation:

In a right angle triangle

Hypothenus ^2= opposite ^2+ adjacent ^2

According to a diagram below

Hypothenus =15

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Substitute for the values

15^2=11^2+opp^2

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HACTEHA [7]

Answer:

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Hey everyone !
zhuklara [117]

Answer:

The measure of the largest angle is 120°

Step-by-step explanation:

<em>Lets explain how to find the measure of an angle from the length of the </em>

<em>sides of the triangle</em>

- We can do that by using the cosine rule

- If the three angles of the triangle are A , B , C, then the side opposite

 to angle A is BC , the side opposite to angle B is AC and the side

 opposite to angle C is AB, So to find measure of angle A use the rule

 cos(A)=\frac{(AB)^{2}+(AC)^{2}-(BC)^{2}}{2(AB)(AC)}

<em>Lets solve the problem</em>

- Assume that the triangle is ABC where AB = 14 cm , BC = 10 cm and

 AC = 6 cm

- We need to find the measure of the largest angle

- The largest angle is opposite to the longest side

∵ The longest side is AB

∴ The largest angle is C

By using the rule above

∴ cos(C)=\frac{(AC)^{2}+(BC)^{2}-(AB)^{2}}{2(AC)(BC)}

∵ AB = 14 cm , BC = 10 cm , AC = 6 cm

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* <em>The measure of the largest angle is 120°</em>

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3 years ago
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