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Mashcka [7]
3 years ago
10

What is the simplified form of the following expression? 2 StartRoot 18 EndRoot + 3 StartRoot 2 EndRoot + StartRoot 162 EndRoot

Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer: 2*√18 + 3*√2 + √162 = 18*√2

Step-by-step explanation:

I guess that the equation is:

2*√18 + 3*√2 + √162

And we want to simplify it.

first 18 = 9*2

then we can write:

2*√18 = 2*√(9*2) = 2*3*√2 = 6*√2

and 162/9 = 18

then we can write:

√162 = √(9*18) = √9*√18 = 3√18

now we can use the previous step: √18 = 3*√2

and:

√162 = 3*(3*√2) = 9*√2

now we can write our equation as:

6√2 + 3√2 + 9√2 = (6 + 3 + 9)√2 = 18*√2

And now we can not simplify it further more, so here we end.

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In how many ways can the letters of the
GarryVolchara [31]

Answer: (b)

Step-by-step explanation:

Given

The letter "BHUTAN" has to be arranged

For filing the first place of 6 letter word, we have 6 choices

Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.

In this way, the remaining places can be filled in 4, 3, 2, and 1 way

On combining the above, 6 places can be filled in  

\Rightarrow 6\times 5\times 4\times 3\times 2\times 1=6!\\\Rightarrow 720\ \text{ways}

Thus, option (b) is correct.

5 0
3 years ago
2x=54 Which of the following properties is included in the justification for the steps used to solve the equation? A. division p
Bas_tet [7]
The answer will be A. Division property of equality
7 0
3 years ago
a tennis club ordered 6 cans of tennis balls for $36.90. If each can cost the same amount, what is the price per can?​
den301095 [7]

Answer: $6.15 per can

Step-by-step explanation:

8 0
3 years ago
The temperature steadily dropped 20 degrees over a period of 2.5 hours. What was the hourly temperature change?
Katen [24]
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4 0
3 years ago
The sum of two numbers is -47 the difference is -39 find the numbers
mash [69]

Answer:

x = -43

y = -4

Step-by-step explanation:

In this question, you will have to find the value of x in terms of y using one of the equations and substituting the value in the other equation or vice versa.

Let's assume the numbers x and y, now we write the expressions.

x + y = -47

x - y = -39

Take the second equation and find x.

<u>Calculations:</u>

x - y = -39 (Add y on both sides)

x = -39 + y

Now that you got the value of x in terms of y, we can substitute.

<u>Calculations:</u>

(-39 + y ) + y = -47

2y - 39 = -47

2y = -8

y = -8/2 = -4

y = -4

Now that we got y, we can substitute that value in any of the equations to find x.

x - 4 = -47 or x + 4 = -39

x = -43

4 0
3 years ago
Read 2 more answers
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