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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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There are blue, red and yellow counters in a bag in the ratio 9:6:3.
yKpoI14uk [10]

Answer:

  • 36

Step-by-step explanation:

<u>The ratio is given:</u>

  • b : r : y = 9 : 6 : 3

<u>Let each equal part be x, then we have:</u>

  • b - r = 6
  • 9x - 6x = 6
  • 3x = 6
  • x = 2

<u>Total number of counters:</u>

  • 2(9 + 6 + 3) = 2(18) = 36
5 0
2 years ago
Read 2 more answers
Convert -4 8/25 into a decimal HELP
Naddik [55]

Answer:        4.32

Step-by-step explanation:

-4 8/25 = -4.32

4 0
3 years ago
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Three siblings are one year apart inage. If the oldest is x years old, what is the average of their ages?
Yuliya22 [10]

Answer:

x - 1

Step-by-step explanation:

x

x - 1

x - 2

x + (x - 1) + ( x - 2)

3x - 3

3(x - 1)

Average

3(x - 1)/3

x - 1

6 0
3 years ago
Hello if you're able to answer this question help me and provide work as well, Thank you.
Gnoma [55]

Answer:

Option A. Only Khaled

Step-by-step explanation:

To know which option is correct, we shall use the formula suggested by both Khaled and Wilma to see which will give the sequence given in the question.

For Khaled:

F(n) = 1 • 3ⁿ¯¹

n = 1

F(n) = 1 • 3ⁿ¯¹

F(1) = 1 • 3¹¯¹

F(1) = 1 • 3⁰

F(1) = 1 × 1

F(1) = 1

n = 2

F(n) = 1 • 3ⁿ¯¹

F(2) = 1 • 3²¯¹

F(2) = 1 • 3¹

F(2) = 1 × 3

F(2) = 3

n = 3

F(n) = 1 • 3ⁿ¯¹

F(3) = 1 • 3³¯¹

F(3) = 1 • 3²

F(3) = 1 × 9

F(3) = 9

For Wilma

F(n) = 1 • 3ⁿ

n = 1

F(n) = 1 • 3ⁿ

F(n) = 1 • 3¹

F(1) = 1 × 3

F(1) = 3

n = 2

F(n) = 1 • 3ⁿ

F(2) = 1 • 3²

F(2) = 1 × 9

F(2) = 9

n = 3

F(n) = 1 • 3ⁿ

F(3) = 1 • 3³

F(3) = 1 × 27

F(3) = 27

SUMMARY

Using Khaled's formula i.e F(n) = 1 • 3ⁿ¯¹ we obtained 1, 3, 9,..

Using Wilma's formula i.e F(n) = 1 • 3ⁿ

We obtained 3, 9, 27,..

Now, comparing the sequence obtained using the formula of both Khaled and Wilma, we can see that only the sequence of Khaled is the same with the one given in the question. Therefore, only Khaled's formula is correct.

6 0
3 years ago
A repair person is scheduled to be at your apartment between 9:00am to 12:00pm but you have to leave at 11:30 to help out a frie
barxatty [35]
The answer is
C. 83.3%
4 0
3 years ago
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