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katrin [286]
2 years ago
14

The answer is D Does not exist; does not exist

Mathematics
1 answer:
jolli1 [7]2 years ago
7 0

Answer:

Have a great day too..... :)

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What is the fully simplified answer to sqrt(7/18) + sqrt(5/8) - sqrt(7/2)
NeX [460]

Answer:

=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}

Step-by-step explanation:

Given expression as:

=\sqrt{\frac{7}{18}}+\sqrt{\frac{5}{8}}-\sqrt{\frac{7}{2} }

We need to simplify the given expression.

Solution:

We have:

=\sqrt{\frac{7}{18}}+\sqrt{\frac{5}{8}}-\sqrt{\frac{7}{2} }

Rewrite the expression as:

=\frac{\sqrt{7}}{3\sqrt{2}} - \frac{\sqrt{7}}{\sqrt{2}} +\frac{\sqrt{5}}{2\sqrt{2}}

\frac{\sqrt{7}}{\sqrt{2} } is a common factor to the first two terms.

Using distributive property we can factor out \frac{\sqrt{7}}{\sqrt{2} } from the first two terms.

=\frac{\sqrt{7}}{\sqrt{2}}(\frac{1}{3} -1)  +\frac{\sqrt{5}}{2\sqrt{2}}

=\frac{\sqrt{7}}{\sqrt{2}}(\frac{1-3}{3})  +\frac{\sqrt{5}}{2\sqrt{2}}

=\frac{\sqrt{7}}{\sqrt{2}}(\frac{-2}{3})  +\frac{\sqrt{5}}{2\sqrt{2}}

=-\frac{2\sqrt{7}}{3\sqrt{2}} +\frac{\sqrt{5}}{2\sqrt{2}}

\sqrt{2} is common factor, so we can factor \sqrt{2} from the above expression.

=\frac{1}{\sqrt{2} }( -\frac{2\sqrt{7}}{3} +\frac{\sqrt{5}}{2})

=\frac{1}{\sqrt{2} }( \frac{-2\times 2\sqrt{7}+3\times \sqrt{5}}{6})

=\frac{1}{\sqrt{2} }( \frac{-4\sqrt{7}+3\sqrt{5}}{6})

=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}

Therefore, we get simplified answer as.

=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}

6 0
3 years ago
Are 1/2x+3/4-5/8x-7/8 and 1/8(x+1) equivalent expressions? show your work.
jolli1 [7]
Put these questions in Mathpapa’s Simplify calculator. It will give you the answer and all of the work you need.
8 0
2 years ago
Ms.Anlonzo orderd 4,000 markers for her store.Only 1 tenth of them arrived.How many markers did she receive?
PSYCHO15rus [73]
So only 1/10 of 4000 markers arrived.

So 1/10, or 0.1 of 4000, can be found by multiplying 1/10 by 4000.

1/10 * 4000 = 400

So she received 400 markers.
3 0
3 years ago
It takes Wayne 1/0 of an hour to walk a 1/6 mile park loop. What is Wayne's unit rate in miles per hour?
Aleksandr [31]
1 2/3 miles is the answer.

I think you meant 1/10

6 + 4 = 10 1 mile 4/6 = 1 2/3

Hope I beecome the brainliest
4 0
3 years ago
The birth rate in an area is increasing 6% per annum. If there 20,000 children born in this area 2009 how many will be in 2018?
Harrizon [31]

Answer:

Step-by-step explanation:

Compound increase

20,000 x 1.06 to power of 9 = 33789 <u><em>OR</em></u>  33790

                  /\                        /\

               increase by 6%    9 years

7 0
3 years ago
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