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Anna71 [15]
2 years ago
5

Simplify 4/(√5+ √2) - 3/(√5- √2)​

Mathematics
1 answer:
MakcuM [25]2 years ago
8 0

Step-by-step explanation:

\frac{4}{ \sqrt{5} +   \sqrt{2}}  -  \frac{3}{ \sqrt{5} -  \sqrt{2}  }  =  \\  =  \frac{4( \sqrt{5}  -  \sqrt{2} ) - 3( \sqrt{5} +  \sqrt{2} ) }{( \sqrt{5}  +  \sqrt{2}  )\times ( \sqrt{5}  -  \sqrt{2} )}  =  \\  =  \frac{4 \sqrt{5} - 4 \sqrt{2}  - 3 \sqrt{5} - 3 \sqrt{2}   }{5 -  \sqrt{10}  +  \sqrt{10} - 2 }  =  \\  =  \frac{ \sqrt{5}  - 7 \sqrt{2} }{3}

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5 and2/3 divide by 4?
asambeis [7]

Answer:

The answer is 1 5/12 or 17/12.

Step-by-step explanation:

First we turn 5 2/3 into a Improper fraction.

5 2/3 = 17/3

Next we change 4 to 1/4 then multiply 1/4 by 17/3.

17/3 * 1/4 = 17/12

17/12 = 1 5/12

Hope this helps! :)

6 0
3 years ago
Read 2 more answers
Which statements are true about x? Select three options
polet [3.4K]

The true statements about x are:

x ∈ B ∪ C

x ∈ B ∩ C

x ∈ A ∪ C

<h3>Further explanation</h3>

A set is a clearly defined collection of objects.

To declare a set can be done in various ways such as:

  • With words or the nature of membership
  • With set notation
  • By registering its members
  • With Venn diagrams

Multiplying set A x B is by pairing each member of set A with each member of set B.

<u>Example: </u>

<em>A = {1, 2, 3} </em>

<em>B = {a, b} </em>

Then

A x B = {(1, a), (1, b), (2, a), (2, b), (3, a), (3, b)}

Union of set A and B ( A ∪ B ) is rewriting each member A and combined with each member B.

Intersection of set A and B ( A ∩ B ) is to find the members that are both in Set A and Set B.

<u>Example: </u>

<em>A = {1, 2, 3, 4} </em>

<em>B = {3, 4, 5} </em>

A ∪ B = {1, 2, 3, 4, 5}

A ∩ B = {3, 4}

Let us now tackle the problem!

To solve this problem, it is better to draw the Venn diagram as shown in the picture in the attachment.

Let :

A = { p , q , s , t }

B = { q , r , t , x }

C = { s , t , v , x }

\texttt{ }

B \cup C = \{ r , q , t , v , \boxed{x} \} ✔

B \cap C = \{ t  , \boxed{x} \} ✔

A \cup C = \{ p , q , s , t , v , \boxed{x} \} ✔

A \cap C = \{ s , t \} ⤬

A = \{ p , q , s , t \} ⤬

\texttt{ }

From the results above, it can be concluded that the correct statements are:

x ∈ B ∪ C

x ∈ B ∩ C

x ∈ A ∪ C

\texttt{ }

<h3>Learn more</h3>
  • Mean , Median and Mode : brainly.com/question/2689808
  • Centers and Variability : brainly.com/question/3792854
  • Subsets of Set : brainly.com/question/2000547

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Sets

Keywords: Sets , Venn , Diagram , Intersection , Union , Mean , Median , Mode

5 0
3 years ago
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A Subchapter S corporation:
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C is it yea separate
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What repeating decimal does <br> 8/9 equal to in value
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0.88888. Divide 8 by 9 and you should get that answer, with 8 repeating.
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3 years ago
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zaharov [31]

Answer:

The other angle is 100

Step-by-step explanation:

A straight line is 180, and if one angle is 80, then 180-80=100, giving you your answer. ^^

5 0
2 years ago
Read 2 more answers
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