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sammy [17]
3 years ago
12

Simplify. Rationalize the denominator. 3/9-√2​

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

\frac{3}{9-\sqrt{2} } * \frac{9+\sqrt{2}}{9+\sqrt{2}}

\frac{27 + 3\sqrt{2} }{9^{2} - (\sqrt{2})^{2}  }

\frac{27 + 3 \sqrt{2} }{81 - 2}

\frac{27 + 3\sqrt{2} }{79}

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Twenty-seven is smaller than five times a number increased by seven
JulsSmile [24]

Answer:

27 < 5*n +7

n<4

Step-by-step explanation:

Twenty-seven is smaller than five times a number increased by seven


Increase means add

27 < 5*n +7

Subtract 7 from each side

27-7 <5n+7-7

20 < 5n

Divide by 5

20/5 < 5n/5

4 <n

8 0
3 years ago
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What is the slope Of a line that passes through the points (9,8) and (2,3)?
tresset_1 [31]

(\stackrel{x_1}{9}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{9}}}\implies \cfrac{-5}{-7}\implies \cfrac{5}{7}

6 0
3 years ago
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Find the least common denominator of 1/6 and 2/7
harina [27]

Answer:

it is it is 42

Step-by-step explanation:

7/42+12/42=19/42

5 0
3 years ago
How to use exponents instead of logs
PSYCHO15rus [73]

Answer:

Convert into same base

Step-by-step explanation:

Convert both sides into same bases and equate the powers to solve for the variable.

Example:

8^x = 32

You can either use logs to bring the power down or convert both sides into the same base

8 = 2³

8^x = (2³)^x = 2^(3x)

32 = 2⁵

2^(3x) = 2⁵

3x = 5

x = 5/3

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3 0
3 years ago
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