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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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Factors and common factors of 24,64,88
babunello [35]
24- 1,2,3,4,6,8,12,24
64-1,2,4,8,16,32,64
88-1,2,4,8,11,22,44,88

Here are all the factors.^^
The common factors are 1,2,3,4,6
Hope this helps!
8 0
3 years ago
Serena drank nine and six tenths ounces of juice yesterday.Four and seventy-five hundreths ounces of the juice were apple juice.
kicyunya [14]
Serena drank 9.6 oz of juice. If 4.75 oz were apple juice, then she drank 9.6-4.75=4.85 oz of orange juice.
8 0
3 years ago
Plz help will mark brainliest
Kryger [21]

∆ABC=∆DEF

AB=DE –>String

BC=EF–> Rib

m<C=m<F=90° –>List

AC=DF

So m<A=m<D=35 (It is not clear whether the number is 35 or 36, but the same number)

8 0
2 years ago
For what value of k will these pairs of simultaneous equations have no solution?
yKpoI14uk [10]
Kx-3y=k
y=4x+1 ( we will put it in 1st equation )
kx - 3 (4x+1)=k
kx - 12 x - 3 =k
kx - 12 x = k+3
x(k-12) = k+3
x=\frac{k+3}{k-12}
Also y=\frac{5k}{k-12}
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4 0
3 years ago
There are two spinners. Each spinner has 10 equal sectors labeled with the numbers 1 through 10.
Reika [66]

Answer: Second option is correct.

Step-by-step explanation:

Since we have two spinners,

Each spinner has 10 equal sectors labeled with the numbers from 1 to 10.

Primes numbers from 1 to 10 is given by

\{2,3,5,7\}

So, number of outcomes shows a  primes number from 1 to 10 = 4

Similarly ,

Composite numbers from 1 to 10 is given by

\{4,6,8,9,10\}

So, number of outcomes shows a composite number from 1 to 10 =5

∴ Total outcomes show a prime number on the first spinner and a composite number on the second spinner is given by

4\times 5=20\\

Thus, Second option is correct.


3 0
3 years ago
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