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hodyreva [135]
3 years ago
9

Distribute and simplify these radicals √12•(-1+√5)

Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

Answer:

Step-by-step explanation:

hello :

√12•(-1+√5) = -√12•+√60

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What is 310,763,136 in word form
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Three hundred and ten million, seven hundred and sixty three thousand, one hundred and thirty six.
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When the reciprocal of the larger of two consecutive even integers is subtracted from 4 times the reciprocal of the smaller, the
yawa3891 [41]

Answer:  No solution

<u>Step-by-step explanation:</u>

1st number: x

2nd number: x + 2

  • reciprocal of the larger is \frac{1}{x+2}
  • 4 times the reciprocal of the smaller is 4(\frac{1}{x})
  • reciprocal of the larger of two consecutive even integers is subtracted from 4 times the reciprocal of the smaller is 4(\frac{1}{x}) - \frac{1}{x+2}
  • the result is 56: 4(\frac{1}{x}) - \frac{1}{x+2} = 56

Solve the equation:

4(\frac{1}{x}) - \frac{1}{x+2} = 56

\frac{4(x(x + 2))}{x} - \frac{1(x(x + 2))}{x+2} = 56(x(x + 2))

4x + 8 - x = 56x² + 112x

     3x + 8 = 56x² + 112x

             0 = 56x² + 109x - 8

Use the quadratic formula to solve:

x = \frac{-109+/-11\sqrt{113}}{112}

The result is NOT AN INTEGER so there is NO SOLUTION

8 0
3 years ago
One number is five more than another number. If the square of the smaller number is 3 more than 3 times the larger number, what
11111nata11111 [884]

Answer:

6 and 11

Step-by-step explanation:

n1 = n + 5

ns^2 = 3 + 3nb

6^2 = 3 + 3(11)

36 = 3 + 33

11 = 6 + 5

3 0
2 years ago
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