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2 years ago

Please Help!!!!!!!!!!

Mathematics

1 answer:

timama [110]2 years ago

6 0

Answer:

the answer is b

Step-by-step explanation:

the answer is b

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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

ddd [48]

Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

$\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}$

$\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}$

4 0

3 years ago

The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?

snow_lady [41]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The length of a rectangle is three times it's width. If the perimeter of the rectangle is 64, find its length and width

wlad13 [49]

set up an equation for the perimeter

l = length w = width

2l + 2w = 64

set up another equation as you know the length is 3 times the width

w = 3l

subsitute w = 3l into the 2l + 2w = 64

2l + 2(3l) = 64

solve for l

2l + 6l = 64

8l = 64

length = 8

subsitute into w = 3l

w = 3(8)

width = 24

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3 years ago

Juan manages an appliance store. In July, sales were $161,800. In August, sales were $117,305. What was the rate of change? That

babunello [35]

I think it is a 27.5% decrease

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3 years ago

Please answer please please answer need the answer

Korvikt [17]

A = 1/2 bh
A = 1/2 (21)(8)
A = 1/2 (168)
A = 84

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3 years ago