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4 years ago

Simplify the given expression, using only positive

Mathematics

1 answer:

zalisa [80]4 years ago

5 0

Answer: x=4 y=14 z=4

Step-by-step explanation:

On edge it is that

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The sum of two numbers is 42, and one number is twice the other. Find the two numbers

NikAS [45]

Answer:

28 and 14

Step-by-step explanation:

14 x 2 = 28

28 + 14 is 42.

3 0

3 years ago

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Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart. A cable that is stretched fr

Andreyy89

Answer:

Step-by-step explanation:

Given

height of two Poles are 60 and 80 ft

Distance between them is 100 ft

Let x be the distance of Pole of ht 80 ft from Point of stretch

thus length of rope is given by

$L=L_1+L_2$

$L_1=\sqrt{80^2+x^2}$

$L_2=\sqrt{60^2+(100-x)^2}$

$L=\sqrt{80^2+x^2}+\sqrt{60^2+(100-x)^2}$

differentiate w.r.t x we get

$\frac{\mathrm{d} L}{\mathrm{d} x}=\frac{2x}{2\sqrt{80^2+x^2}}-\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}$

Put $\frac{\mathrm{d} L}{\mathrm{d} x}=0$ to get minimum value

$\frac{2x}{2\sqrt{80^2+x^2}}=\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}$

squaring

$x^2\left ( (100-x)^2+60^2\right )=(100-x)^2(80^2+x^2)$

Rearranging

$28x^2-1800x+640000=0$

$x=\frac{400}{7}$

thus $L_1=98.312 ft$

$L_2=73.73 ft$

$L=172.04 ft$

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3 years ago

Hello peers, what is 1234 times the same number

Murrr4er [49]

1234 * 1234 = 1,522,756

5 0

4 years ago

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Five more than seven time a number is ninerty-six.what is the number?

zaharov [31]

Answer:

5x + 6 ≥ 21

Step-by-step explanation:

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3 years ago

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Please help. I don't understand.

love history [14]

Answer: D

Step-by-step explanation:

The construction of a triangle tangent to the three sides would require the construction of the incircle.

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3 years ago