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iren [92.7K]
4 years ago
13

Please help answer these question​ I will give you brainliest

Mathematics
2 answers:
ozzi4 years ago
8 0

Answer:

1) \frac{6+\sqrt{6} }{2}       2) -3 + \sqrt{12}

Step-by-step explanation:

Please ignore the squiggle in the middle of the page.

Please mark brainliest when you’re able :)  

Effectus [21]4 years ago
6 0

Answer:

1) ( 6+\sqrt{6} ) / 2                 2) 2 \sqrt{3} - 3

Step-by-step explanation:

I got the same thing as the other person, but typing it out would take forever just to give you the same result.

You do use a technique called rationalizing a denominator to eliminate the radical. The point of rationalizing a denominator is to make it easier to understand what the quantity really is by removing radicals from the denominators.

1) ( 6+\sqrt{6} ) / 2

2) I got the same answer but I put in 1 more step. It looks like the person caught it though.

From the -3 + \sqrt{12}    

-3 + \sqrt{4} \sqrt{3}

-3 + 2 \sqrt{3}     Rearrange

2 \sqrt{3} - 3

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Can someone please help me factor this
Dmitry_Shevchenko [17]

Answer:

\huge\boxed{\bf\:1}

Step-by-step explanation:

\frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  }   \times   \frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }

Take \frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  } & factorise it at first.

\frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  }   \\= \frac{\left(x-3\right)\left(x-1\right)}{\left(x-4\right)\left(x-3\right)}\\= \frac{x-1}{x-4}

Now factorise the next set : \frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }.

\frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }\\= \frac{\left(x-4\right)\left(x+6\right)}{\left(x-1\right)\left(x+6\right)}\\=  \frac{x-4}{x-1}

Now, multiply the two simplified results.

\frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  }   \times   \frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }\\= \frac{x-1}{x-4}\times \frac{x-4}{x-1} \\= \frac{\left(x-1\right)\left(x-4\right)}{\left(x-4\right)\left(x-1\right)} \\= \boxed{\bf\: 1}

\rule{150pt}{2pt}

7 0
3 years ago
The expression -5x + 2x - 8x is<br> equivalent to nx. What is the value of n?
Nimfa-mama [501]

Answer:

5

Step-by-step explanation:

i believe

6 0
3 years ago
Find the number of terms in the arithmetic progression 2,-9,-20,...,-141​
Vinil7 [7]

Answer:

14

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 , d = - 9 - 2 = - 11 and a_{n} = - 141, thus

2 - 11(n - 1) = - 141 ← distribute and simplify left side

2 - 11n + 11 = - 141

13 - 11n = - 141 ( subtract 13 from both sides )

- 11n = - 154 ( divide both sides by - 11 )

n = 14

That is the progression has 14 terms

4 0
3 years ago
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denis23 [38]
18x - 24 > 3 + 2x
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Alenkasestr [34]
A. 27x-650 hope it'll help
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4 years ago
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