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Otrada [13]
3 years ago
5

How does one solve this?

Mathematics
2 answers:
Gwar [14]3 years ago
8 0

First eliminate both roots by squaring both monomials.


(√42x^5)² = 42x^5

(√6x³)² = 6x³


Then divide


42/6 = 7

x^5/x³ = x^(5 - 3) = x²


7x², or (D) is your answer


hope this helps

Tresset [83]3 years ago
3 0

The answer is a. x\sqrt{7}


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A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind
Lunna [17]

Given:

A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.

Pilot's speed in still air is 315 miles per hour.

To find:

The speed of the wind.

Solution:

Let the speed of wind be x miles per hour.

Speed with wind = 315+x miles per hour

Speed against wind = 315-x miles per hour

We know that,

Time=\dfrac{Distance}{Speed}

According to the question,

\dfrac{450}{315+x}=\dfrac{360}{315-x}

Divide both sides by 90.

\dfrac{5}{315+x}=\dfrac{4}{315-x}

By cross multiplication, we get

5(315-x)=4(315+x)

5(315)-5x=4(315)+4x

5(315)-4(315)=4x+5x

(5-4)315=9x

Divide both sides by 9.

\dfrac{(1)315}{9}=x

35=x

Therefore, the speed of wind is 35 miles per hour.

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3 years ago
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Step-by-step explanation:

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