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3 years ago

What is the mean of 14, 6, 4, 12

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

3 0

Answer:

Step-by-step explanation:

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Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))

jasenka [17]

Answer:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$

Step-by-step explanation:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }$

$=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}$

$=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}$

$\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }$

$=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }$

$=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }$

$=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }$

$=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }$

$=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }$

$=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$

<u><em>Remark</em></u>:

You can simplify moreover if you want to.

5 0

3 years ago

What is the solution to the system of equations represented by these two lines?

Anna007 [38]

We can find the solution to a system of equations by graphing them and finding where they intersect each other.

In this case, they intersect at the point (2, 3).

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4 years ago

A box contains 512 grams of cereal. One serving of cereal is 56 grams. How many servings of cereal does the box contain?

DanielleElmas [232]

512/56 = total servings

The box has 9 full servings, but in total has 9.143 servings.

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3 years ago

FINALS QUESTION. ANSWER FAST! (choose rational or irrational for each one)

Bess [88]

Answer:

it would be irrational, rational, rational

Step-by-step explanation:

Make sure to pay attention to the small details in the sentences

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3 years ago

What is three times a number decreased by 21 is 57 in numberic form

cestrela7 [59]

3x-21=57
3x=21+57
3x=78
Divide by 3
X=26

8 0

4 years ago