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3 years ago

Write the slope and y-intercept of each equation.

Mathematics

1 answer:

ioda3 years ago

3 0

Answer:

okay here goes.

Step-by-step explanation:

1. slope = -5 and y-intercept is (0,6)

2. slope = 3 and y-intercept is (0,-2)

3. -2 and (0,-4)

4. 8 and (0,1)

5. 5 and (0,-3)

6. -3 and (0,-9)

7. 7 and (0,2)

8. -1 and (0,6)

9. -4 and (0,7)

10. -6 and (0,-8)

11. 8 and (0,-5)

12. 9 and (0,3)

You owe me. That took a long time to write.

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Answer:

$c =\frac{8}{3}$

Step-by-step explanation:

Given

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Required

Shorten

We have:

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Rationalize

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}$

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$c = \sqrt{\frac{(4 + \sqrt 7)^2}{4^2 - (\sqrt 7)^2}} + \sqrt{\frac{(4 - \sqrt 7)^2}{4^2 - (\sqrt 7)^2}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{16 - 7}} + \sqrt{\frac{(4 - \sqrt 7)^2}{16 - 7}$

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Take LCM

$c =\frac{4 + \sqrt 7 + 4 - \sqrt 7}{3}$

Collect like terms

$c =\frac{4 + 4+ \sqrt 7 - \sqrt 7}{3}$

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3 years ago