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bearhunter [10]
3 years ago
5

The sum of two nonzero real numbers is 4 times their product. What is the sum of the reciprocals of the two numbers

Mathematics
1 answer:
zlopas [31]3 years ago
7 0

Answer:

  4

Step-by-step explanation:

If the two numbers are 'a' and 'b', the sum of their reciprocals is ...

  \dfrac{1}{a}+\dfrac{1}{b}=\dfrac{a+b}{ab}=\dfrac{4ab}{ab}=\boxed{4}

The sum of their reciprocals is 4.

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Step-by-step explanation:

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Read 2 more answers
N
artcher [175]
Perpendicular lines have negative reciprocals. This means that if you multiply the slopes of both lines, the product will be a -1.

In your given point-slope equation, the slope is 1/3. Therefore, the negative reciprocal of 1/3 must be -3.

Out of the given options:

y + 2 = -3(x — 4)
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are the linear equations that are perpendicular to y — 1 = 1/3(x + 2).

Therefore, the correct answers are Options 1 and 3.

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5 times d algebra expression
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