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Arturiano [62]
3 years ago
8

HELPP ITS IMPORTANT

Mathematics
1 answer:
Misha Larkins [42]3 years ago
4 0
H times how your payrate
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Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an eq
ziro4ka [17]

The fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Explanation:

The equation is \frac{3}{\sqrt{17}-\sqrt{2}}

To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.

Rewriting the equation, we have,

\frac{3}{\sqrt{17}-\sqrt{2}}\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Multiplying, we get,

\frac{3(\sqrt{17}+\sqrt{2})}{(\sqrt{17})^{2}-(\sqrt{2})^{2}}

Simplifying the denominator, we get,

\frac{3(\sqrt{17}+\sqrt{2})}{17-2}

Subtracting, the values of denominator,

\frac{3(\sqrt{17}+\sqrt{2})}{15}

Dividing the numerator and denominator,

\frac{\sqrt{17}+\sqrt{2}}{5}

Hence, the denominator has become a rational denominator.

Thus, the fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

6 0
3 years ago
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What is the average rate of change of f(x)= –8x+20 over the interval [–17,–10].
shutvik [7]

Answer:

Mein Name ist, mein Name ist, ich bin der beste Rapper, den es gibt

Step-by-step explanation:

8 0
3 years ago
I'm a big dummy so help me please.Find the answer to this question.I'l give 15 points.Lol i know the question is looks easy but
maksim [4K]

The words less than means we are subtracting 4.7 from something.

And the variable k is all that we are given so the algebraic expression for the given word expression is..

k - 4.7


Good Luck! <3

(you're not a dummy :)

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Luke drove 260 miles in 4 hours. If he continued at the same rate, how far would he travel in 18 hours?
stepladder [879]

Answer:

1170 miles in 18 hours.

Step-by-step explanation:

3 0
4 years ago
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