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deff fn [24]
3 years ago
12

I know this is akward and easy but my friend dosent believe me of this app just answer so she can believe me! Plssss number 11

Mathematics
2 answers:
Studentka2010 [4]3 years ago
7 0
Yes they represent the same number because the first one (a) goes by to each line and the bottom one (b) moves one over each line. (Idk if that made sense but yes lol I’m bad at explications)
Semmy [17]3 years ago
4 0
Both are the same because the first line is going by ×2 so the missing number would be 22. The second line is going by +1 so 21+1=22. (Hope this will prove your friend wrong :3)
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... The price of Product 2 will eventually exceed all others.

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If x is the first of three consecutive even integers, write their sum as an algebraic expression in x.
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(x) + (x + 2) + (x + 4)
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Which expression has a value of 24?
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If √3 = 1.732, then √[(√3-1)/(√3+1)] is equal to​
adelina 88 [10]

Step-by-step explanation:

<h3><u>Given Question :-</u></h3>

\sf \:  \sqrt{3} = 1.732, \: then \:  \sqrt{\dfrac{ \sqrt{3}  - 1}{ \sqrt{3}  + 1} }

\red{\large\underline{\sf{Solution-}}}

Given expression is

\rm :\longmapsto\: \sqrt{\dfrac{ \sqrt{3}  - 1}{ \sqrt{3}  + 1} }

<em>On rationalizing the denominator, we get </em>

\rm \:  =  \:  \sqrt{\dfrac{ \sqrt{3}  - 1}{ \sqrt{3}  + 1}  \times \dfrac{ \sqrt{3}  - 1}{ \sqrt{3}  - 1} }

\rm \:  =  \:  \sqrt{\dfrac{ {( \sqrt{3}  - 1)}^{2} }{( \sqrt{3}  + 1)( \sqrt{3}  - 1)} }

<em>We know, </em>

\boxed{ \tt \: (x - y)(x + y) =  {x}^{2} -  {y}^{2} \: }

<em>So, using this, we get </em>

\rm \:  =  \: \dfrac{ \sqrt{3}  - 1}{ \sqrt{ {( \sqrt{3})}^{2}  -  {(1)}^{2} } }

\rm \:  =  \: \dfrac{ \sqrt{3}  - 1}{ \sqrt{ 3 - 1} }

\rm \:  =  \: \dfrac{ \sqrt{3}  - 1}{ \sqrt{2} }

\rm \:  =  \: \dfrac{ \sqrt{3}  - 1}{ \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} }

\rm \:  =  \: \dfrac{(1.732 - 1) \sqrt{2} }{2}

\rm \:  =  \: \dfrac{0.732 \times \sqrt{2} }{2}

\rm \:  =  \: 0.366 \sqrt{2}

Hence,

\rm :\longmapsto\: \boxed{ \rm{ \: \:  \:   \sqrt{\dfrac{ \sqrt{3}  - 1}{ \sqrt{3}  + 1} } = 0.366 \sqrt{2} \:  \:  \: }}

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

<h2>More Identities to know :- </h2>

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)² = (a - b)² + 4ab

(a - b)² = (a + b)² - 4ab

(a + b)² + (a - b)² = 2(a² + b²)

(a + b)³ = a³ + b³ + 3ab(a + b)

(a - b)³ = a³ - b³ - 3ab(a - b)

3 0
3 years ago
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