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natali 33 [55]
3 years ago
9

Simplify each expression as much as possible, and rationalize denominators when applicable. √18x/(3√x^5)=?

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

  (√2)/x²

Step-by-step explanation:

\dfrac{\sqrt{18x}}{3\sqrt{x^5}}=\sqrt{\dfrac{18x}{9x^5}}=\sqrt{\dfrac{2}{x^4}}=\dfrac{\sqrt{2}}{x^2}

_____

Or, maybe you mean ...

\dfrac{\sqrt{18}x}{3\sqrt{x^5}}=\sqrt{\dfrac{18x^2}{9x^5}}=\sqrt{\dfrac{2x}{x^4}}=\dfrac{\sqrt{2x}}{x^2}

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Step-by-step explanation:

Let l be the length of the room, and w be the width.

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Knowing that the formula for the perimeter of a rectangle is P = 2l+2w, and knowing that P=144 ft, we can say that 2L + 2w= 144 ft.

To find the dimensions, we plug our value for l into our perimeter equation

This gives us the following equation: 144= 2(2w+6) + 2w, which simplifies to 144=4w+12+2w, which further simplifies to 144= 6w+12

To get w on one side of the equation, we subtract 12 from each side, which gives us 132=6w

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