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FrozenT [24]
3 years ago
14

Rationalize the denominator of 2/√3−1 Please give step by step answer

Mathematics
2 answers:
Rashid [163]3 years ago
7 0
Answer: sqrt2

Explanation:

I attach a photo please check it:

STatiana [176]3 years ago
7 0

Answer:

√3 + 1

Step-by-step explanation:

Step below are self-explanatory

  • 2/(√3−1)=
  • 2×(√3 + 1)/(√3 - 1)×(√3 + 1) =    <em>multiplied both sides by √3 + 1</em>
  • 2×(√3 + 1)/(√3² - 1²)=               <em> used (a+b)(a-b)= a² - b² formula</em>
  • 2×(√3 + 1)/(3 - 1)=
  • 2×(√3 + 1)/2=                            <em>cancelled like terms</em>
  • √3 + 1
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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
A bird is gliding at 40 meters per minute. How long, in minutes, will it take the bird to travel 160 meters?
adoni [48]

Answer:

<u>4 minutes</u>

Step-by-step explanation:

40=1 min

40=2 min

40=3 min

40=<u>4</u> min

40x4 or 40+40+40+40 is <u>160</u>

6 0
3 years ago
What is the effect on the graph of f(x) = x2 when it is transformed to<br> h(x) = 3x2 - 72
boyakko [2]

Answer:A. confirmed A is correct

Step-by-step explanation:

8 0
3 years ago
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Rudik [331]

Answer:

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Step-by-step explanation:

Slop = (5+7)/(10-4) = 12/6 = 2

Point slope form:

y - 5 = 2(x - 10)

or

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7 0
3 years ago
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