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3 years ago

The answer is D Does not exist; does not exist

Mathematics

1 answer:

jolli1 [7]3 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