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DanielleElmas [232]
3 years ago
6

to rationalize the denominator of 5 - sqrt. 7/ 9 - sqrt. 14, you should mulitply the expression by which fraction?

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer:

9+sqrt(14)

------------------

9+sqrt(14)

Step-by-step explanation:

When we rationalize the denominator, we need to multiply by the conjugate

The denominator has a-sqrt(b), we multiply by a+sqrt(b)

Since we have 9 -sqrt(14), we need to multiply by 9+sqrt(14)

What we do to the bottom, we do to the top, so multiply by 9+sqrt(14) over 9+sqrt(14)  which is equal to 1.  This does not change the equation.


9+sqrt(14)

------------------

9+sqrt(14)


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3 years ago
Can someone help me with this question please..
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( 3 , 2 )

Step-by-step explanation:

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3 years ago
The following are the temperatures of 10 days in winter in °C. − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3 Work out the mean
marissa [1.9K]

The mean temperature of the given data − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3 is 1.9

mean= 1.9

<h3>What is mean of the data?</h3>

The mean, or average, is calculated by adding up the data and dividing by total number of data.

Given data: − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3

Now, mean =   \frac{sum \;of\; observation}{Total \;number \;of \;observation}

mean = \frac{(-3)+ 0+10+2+8+(-5)+ (-1)+ 9+2+(-3)}{10}

           = \frac{19}{10}

mean= 1.9

Hence, the mean of − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3  is 1.9

Learn more about mean here:

brainly.com/question/22871228

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3 0
2 years ago
the density of pure gold 1,204 pounds per cubic foot? how many cubic feet is 481.6lbs of pure gold?
Nadusha1986 [10]

Answer:

Volume of Gold = 0.4 cubic feet.

Step-by-step explanation:

First we have to make sure the units are same as the units the answer is required in.

Answer should be given in cubic feet.

Density is given in pounds per cubic foot. And Mass is given in pounds. So units are in order. Therefore, we can go ahead with the calculation.

The Density of Gold = [Mass of Gold/Volume of Gold]

By substituting values,

1204 ponds per cubic foot = [481.6 pounds / Volume of gold]

Making Volume of God the subject of the equation,

Volume of Gold = [481.6 pounds / tex]1204[/tex] ponds per cubic foot ]

Volume of Gold = 0.4 cubic feet.

5 0
3 years ago
5. How many solutions does this system of equations have?
Diano4ka-milaya [45]

Answer:

\text{\boxed{\sf{D. \ No\  solution}}}

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

<h3>y=-4x-9 and y=-4x-1</h3>

First, you have to substitute of y=-4x-1.

\Longrightarrow: \sf{[-4x-1=-4x-9]}

<u>Add by 4x from both sides.</u>

\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}

<u>Solve.</u>

\Rightarrow:\sf{-1=-9}\\\\\Rightarrow: \sf{(-9)-(-1)=-9+1=-8}\\\\\Rightarrow: \sf{8=0}

  • <u>Therefore, the correct answer is "D. No solution".</u>

I hope this helps. Let me know if you have any questions.

8 0
2 years ago
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