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Monica [59]
3 years ago
7

Rationalize the denominator. 9-10/2 V2+1

Mathematics
2 answers:
qwelly [4]3 years ago
7 0

Answer:

  d.  19√2 -29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{9-10\sqrt{2}}{\sqrt{2}+1}=\dfrac{(9-10\sqrt{2})(\sqrt{2}-1)}{(\sqrt{2}+1)(\sqrt{2}-1)}\\\\=\dfrac{9\sqrt{2}-9-10\cdot2+10\sqrt{2}}{2-1}=\boxed{19\sqrt{2}-29}

nika2105 [10]3 years ago
6 0

Answer:

Step-by-step explanation:

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Oliver runs 23 fewer laps than nate. Nate runs 61 laps. How many laps does oliver run?
Crazy boy [7]

Answer:

38

Step-by-step explanation:

Since Oliver ran 23 fewer laps, you would use subtraction.

So you do 61-23=38

Hope this helps!!

Let me know if you are confused.

5 0
4 years ago
Read 2 more answers
What is the distance rounded to the nearest tenth between the points (2 -2) and (6 3)
kotegsom [21]

Answer:

The distance between the points is approximately 6.4

Step-by-step explanation:

The given coordinates of the points are;

(2, -2), and (6, 3)

The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

Substituting the known 'x', and 'y', values for the coordinates of the points, we have;

l_{(2, \, -2), \ (6, \, 3) } = \sqrt{\left (3-(-2)  \right )^{2}+\left (6-2  \right )^{2}} = \sqrt{5^2 + 4^2} = \sqrt{41}

Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.

4 0
3 years ago
A cell phone company has a basic monthly plan of $40 plus $0.45 for any minutes used over 700. Before receiving his statement, J
Serga [27]

Ok so we know he used over 700 because he was charged more than 40. Then we take the $8.10 and divide 0.45 into it. This then gives you 18 more minutes. Then add 18 to 700 and you get 718 min.
4 0
4 years ago
A workers regular hourly rate of pay is $13. What is the workers total pay for working 40 regulars and 3 hours overtime at a rat
ANTONII [103]

Answer:

578.50

Step-by-step explanation:

The worker worked 40 hours at 13 dollars

40 * 13 =520

Then they worked 3 hours at 13(1.5) or 19.50

3*19.50 =58.5

The total amount of money earned is regular time plus overtime

520 + 58.5 =578.50

3 0
3 years ago
What is the area of the prism shown below?<br> prism<br> 10 in.<br> 8 in.<br> 11 in.
Gnom [1K]

Answer:

1180

Step-by-step explanation:

10* 8*11

you times all the figures to give you the right answer that is 1180

5 0
2 years ago
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