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zysi [14]
2 years ago
8

Can someone help me pls

Mathematics
1 answer:
Crank2 years ago
7 0

Answer:

figure it out

Step-by-step explanation:

yeeeeet

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10. Simplify the rational expression by rationalizing the denominator. 3 sqrt 160/sqrt 1350x A) 2 sqrt 15x/15x B) 3 sqrt 160/135
Viefleur [7K]
The simplified expression by rationalizing the denominator is (C)\frac{4 \sqrt{15x} }{15x}.

First we must simplify the expression:
\frac{3 \sqrt{160} }{\sqrt{1350x} } =  \frac{12 \sqrt{10} }{15 \sqrt{6x} } =  \frac{4 \sqrt{10} }{5 \sqrt{6x} }

Then we factor the rational parts and cancel it out:
\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }

Then we rationalize the expression:
\frac{4\sqrt{5} }{5\sqrt{3x} } * \frac{\sqrt{3x} }{\sqrt{3x} } = \frac{4 \sqrt{15x} }{5*3x} = \frac{4 \sqrt{15x} }{15x}

<span>Finally, the simplified expression by rationalizing the denominator is (C)\frac{4 \sqrt{15x} }{15x}.</span>
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Kathryn currently has an account balance of $2,248.95. She opened the account 7 years ago with a deposit of $1,762.14. If the in
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Which of the following numbers is both a perfect square and a perfect cube?
Marat540 [252]

Answer:

531441

Step-by-step explanation:

We can find by   factorization

531441 = 9 * 9 * 9 * 9 * 9 *9 = (9*9*9) * (9*9*9)

\sqrt[3]{531441}=\sqrt[3]{9*9*9*9*9*9}  =9*9 = 81\\\\\\\sqrt{531441}=\sqrt{(9*9)*(9*9)*(9*9)}=9*9*9=729

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The rectangle has an area of x^2-7x+10 square meters and a width of x−5 meters. What expression represents the length of the rec
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Answer:

length = x - 2

Step-by-step explanation:

Area (A) of rectangle = lw ( l is the length and w the width )

A = x² - 7x + 10 = (x - 2)(x - 5) ← in factored form

l = \frac{A}{w} = \frac{(x-2)(x-5)}{x-5}

cancel the factor (x - 5) on the numerator/ denominator, hence

l = x - 2


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