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2 years ago

9

Prove the identity (x+y)^-2xy=x^2+y^2

1 answer:

Natali5045456 [20]2 years ago

8 0

proooooof is in picture....

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What is the equation of the line passing through the points (-1,2) and (-2,-1)

Anna [14]

The equation will be of the form y=ax+b, but we have to find a and b.
If you fill in the first point, you get:

2 = -a + b => b = 2+a

Second point:

-1 = -2a + b

Fill in first into second

-1 = -2a + 2 + a => -3 = -a => a=3

b = 2+a = 2+3 = 5

so the equation is

y=3x+5

Once you have this, it is safe to fill in both coordinates to double-check for mistakes.

8 0

3 years ago

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

What is the elapsed time between 3:40 AM and 2 PM?

UNO [17]

<span>10 hrs 20 mins just count and when you get to 12, go back to 1 but make sure you change it to either PM or AM</span><span />

5 0

3 years ago

The regression equation y equals negative 0.414 x plus 106.55 approximates the percent of people in an audience who finish watch

wolverine [178]

Answer:

(b) 71%

Step-by-step explanation:

Put the given value of x in the formula and do the arithmetic.

-0.414(85) +106.55 = -35.19 +106.55 = 71.36

About 71% of the audience will finish watching the film.

4 0

2 years ago

I want to know how to sole a math problem which is 8-3/2/3

Elodia [21]

Are there any parenthesis? I think you might have skipped out on them.

6 0

3 years ago