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3 years ago

Calculate the distance

Mathematics

1 answer:

andrey2020 [161]3 years ago

5 0

Answer:

Step-by-step explanation:

30/5=6

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Which of the following is not affected by outliers in the data shown below?

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4 years ago

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Alex_Xolod [135]

Answer:

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3 years ago

machine s is cleaned every 12 weeks Machine T is cleaned every 8 weeks what is the fewest number of weeks that will pass before

kogti [31]

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3 years ago

Find the sum. r/r^2-q^2 + 5/r+q

pickupchik [31]

Answer:

The answer is:

$\frac{6r-5q}{r^2-q^2}$

which agrees with the last answer option (D) in the list.

Step-by-step explanation:

In order to add rational expressions, we need to express them with the same denominator. Therefore we examine what factors there are in the first denominator, which happens to be a difference of squares which is readily factored out as:

$r^2-q^2=(r+q)\,(r-q)$

the second denominator consists of only one of these factors: $(r+q)$ , then in order to express both rational expressions with the same common denominator, we multiply numerator and denominator of the second fraction by the factor: $(r-q)$

Then we get two expressions that can be easily added as shown below:

$\frac{r}{(r+q)\,(r-q)} +\frac{5\,(r-q)}{(r+q)\,(r-q)} =\frac{r+5(r-q)}{(r+q)(r-q)} =\frac{r+5r-5q}{(r+q)\,(r-q)} =\frac{6r-5q}{r^2-q^2}$

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3 years ago