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Vaselesa [24]
3 years ago
6

Find the lowest common denominator of p+3/p^2+7 p+10 and p+5/p^2+5 p+6

Mathematics
2 answers:
Kruka [31]3 years ago
5 0

Answer:

The answer you are looking for is (p+3)(p+2)(p+5).

VMariaS [17]3 years ago
4 0
We first need to factorize (if possible) the denominators:

we can see that p^2+7p+10=(p+2)(p+5) as 2 and 5 are two numbers whose sum is 7 and product is 10.


Similarly, we can see that p^2+5p+6=(p+3)(p+2) as 2 and 3 are two numbers whose sum is 5 and product is 6.

Thus, the expression is:

\displaystyle{  \frac{p+3}{(p+2)(p+5)} + \frac{p+5}{(p+3)(p+2)}.


Now to make the denominators equal, but to also keep them as small as possible, the common denominator must be (p+3)(p+2)(p+5).


Answer: (p+3)(p+2)(p+5).
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Answer:

  The measures of the angles are 150° and 30°.

Step-by-step explanation:

Let x and y represent the measures of the angles, with x representing the larger angle.

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Substituting the expression given by the second equation into the first, we have ...

  (90 +2y) +y = 180

  3y = 90 . . . . . . . . . . collect terms, subtract 90

  y = 30 . . . . . . . . . . . divide by the coefficient of y

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The measures of the angles are 150° and 30°.

6 0
3 years ago
Tell weather the given value is a solution of the inequality
natta225 [31]
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plug in 8 to r

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5 ≤ 9 (true)

hope this helps
4 0
3 years ago
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A line passes through the points (8, 10) and (9, 10). What is its equation in slope-intercept form?
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ch4aika [34]
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Her monthly salary is $4,395.83
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