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sukhopar [10]
2 years ago
14

!!!!PLEASE HELP!!!!

Mathematics
1 answer:
Lynna [10]2 years ago
3 0

(D)

Step-by-step explanation:

Multiply and divide the fraction by the conjugate:

\dfrac{2}{\sqrt{13}+\sqrt{11}}×\dfrac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}

= \dfrac{2(\sqrt{13} - \sqrt{11})}{(\sqrt{13})^2 - (\sqrt{11})^2}

=\dfrac{2(\sqrt{13} - \sqrt{11})}{2}

=\sqrt{13} - \sqrt{11}

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I think the 2nd one and the last one

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Step-by-step explanation:

10x2=20

20+1=21

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3 years ago
Pedro said, "On summer vacation, I spent 3 1/2 weeks with my uncle and two weeks more with my friend than with my uncle." How ma
ladessa [460]

Answer:

Pedro spent 9 weeks with his uncle and his friend.

Step-by-step explanation:

First, you need to find the amount of weeks Pedro spent with his friend. The statement indicates that he spent two weeks more with his friend than with his uncle which means that you have to add the number of weeks he spent with his uncle plus 2, which you can show in a number line:

       3\frac{1}{2}                   2

___________________

1       2       3       4       5       6       7       8       9       10        

3\frac{1}{2}+2=5\frac{1}{2}

Now, you can find the and answer by adding up the number of weeks he spent with his uncle plus the weeks he spent with his friend:

       3\frac{1}{2}                                   5\frac{1}{2}

__________________________________

1       2       3       4       5       6       7       8       9       10  

3\frac{1}{2} + 5\frac{1}{2}=9

According to this, the answer is that Pedro spent 9 weeks with his uncle and his friend.

6 0
3 years ago
The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.
MAXImum [283]

Answer:

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Step-by-step explanation:

The sum of the angles is ...

  x° + (x +8)° + 2x° = 180°

  4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

  x +2 = 45 . . . . . . . . . . divide by 4

  x = 43 . . . . . . . . . . subtract 2

  x +8 = 51

  2x = 86

The angles are 43°, 51°, 86°.

7 0
2 years ago
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