To find a reciprocal of a fraction, switch the numerator and denominator.

Mathematics

1 answer:

Aleks [24]3 years ago

6 0

The reciprocal of -1/3 is -3/1
and the reciprocal of 4/1 is 1/4

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Solve for k.<br> 5(k+4)<–5

Amiraneli [1.4K]

Answer:

k < -5

Step-by-step explanation:

5(k+4)<–5

Divide each side by 5

5/5(k+4)<–5/5

k+4 < -1

Subtract 4 from each side

k+4-4 < -1-4

k < -5

5 0

3 years ago

What two positive real numbers whose product is 7272 have the smallest possible sum?

nadezda [96]

$\sqrt{7272}$ and $\sqrt{7272}$ , or as a rounded decimal 85.28 and 85.28.

To find the smallest possible sum of roots for any product, the answer is always whatever numbers are closest together. This fact can be derived by the fact that the greatest area we can enclose with a given length is a perfect square. So we can take the square root of 7272 and use that, since they will be exactly the same number.

If you are looking for whole numbers, you would have to go up or down until you find a factor of 7272 closest to the square root. In this case that would be 72 and 101.

3 0

3 years ago

The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f

aksik [14]

Answer:

$\frac{x^2}{36} + \frac{y^2}{100} = 1$