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3 years ago

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:

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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g100num [7]

I think the answer is D

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3 years ago

Use the distance formula to find the distance, to the nearest tenth, from S(5,-4) to W(-3,7)

natali 33 [55]

Answer:

Distance (d) =13.6

Step-by-step explanation:

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(5,-4)=(x_1,y_1)\\(-3,7)=(x_2,y_2)\\\\d=\sqrt{\left(-3-5\right)^2+\left(7-\left(-4\right)\right)^2}\\\\d=\sqrt{(-3-5)^2+(7+4)^2}\\\\d=\sqrt{(-8)^2+(11)^2}\\\\d=\sqrt{64+121}\\\\d=\sqrt{185} \\\\d = 13.60147\dots \\\\\\d =13.6$

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3 years ago

In a 40-day period, at least one bear was observed by a camper in a designated camp site on 28 separate days. According to this

olasank [31]

At least one bear was sighted on 28 separate days in 40 day period total = 28/40
We're looking for the daily frequency of bear sightings, that's in the whole 40 day period.

Let's say 40 days period = 100%.
Then what's 28 days?

So the solution we're looking for would be (28 days∗100) / 40 days = 70%

The final answer is B. 70%.

5 0

3 years ago

Read 2 more answers

triangle STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than

maks197457 [2]

Answer:

The value of x = 12 and the measure of each side is 23 units.

Step-by-step explanation:

Given: STU is an equilateral triangle.

ST = 2x -1

SU = 5x - 37

TU = x + 11

Now, as Δ STU is an equilateral triangle, hence all the sides of the triangle are equal.

⇒ ST = SU = TU

or, 2x -1 = 5x - 37 = x + 11

Considering : 2x -1 = 5x - 37 , we get

-1 + 37 = 5x - 2x

or 3x = 36

or, x = 12

Considering : 5x - 37 = x + 11 , we get

5x -x = 11 + 37

or, 4x = 48 or, x = 12

Considering : x + 11 = 2x -1

or, 2x - 1 = x + 11

or, x = 12

hence, in all the cases value of x = 12

ST = 2x -1 = 2(12) -1 = 23 units

SU = 5x - 37= 5(12) -1 = 23 units

TU = x + 11 = 12 = 11 = 23 units

7 0

3 years ago

a cone is formed out of cement. The circumference of the base of the cone is 44 feet and the cone has a height of 6 feet. What i

aev [14]

The base is 44 cut that in half to get the radius, R=22 height=6
fill in v=1/3 x 3.14 x r^2 x H
v = 1/3 x 3.14 x 22^2 x 6
22 x 22= 484
484 x 6 = 2904
2904 x 3.14= 9118.56
9118.56 x 1/3 = 9118.56/1 divided by 2735568/3 = 300

7 0

3 years ago

Read 2 more answers