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Sedbober [7]
3 years ago
9

Need step-by-step. Please answer correctly. This determines what grade I get. I will mark brainliest to the first person who ans

wers with a step-by-step explanation. Need fast!
I got 3√3 but it is not an answer choice.

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0

Answer:

  3√3

Step-by-step explanation:

For the problem shown here, your answer 3√3 is correct.

When there is a radical by itself in the denominator, you multiply numerator and denominator by a radical that results in the product being rational. For a square root, that will usually be the same square root:

  \dfrac{9}{\sqrt{3}}=\dfrac{9}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{9\sqrt{3}}{3}=\boxed{3\sqrt{3}}

__

If the problem has a sum in the denominator involving a square root, then you multiply numerator and denominator by the conjugate of that sum (the sum with the sign changed). This uses the special product "difference of squares" to eliminate the radical term.

<u>Example</u>:

  \dfrac{9}{2-\sqrt{3}}=\dfrac{9}{2-\sqrt{3}}\cdot\dfrac{2+\sqrt{3}}{2+\sqrt{3}}=\dfrac{9(2+\sqrt{3})}{2^2-(\sqrt{3})^2}=\dfrac{18+9\sqrt{3}}{4-3}\\\\=\boxed{18+9\sqrt{3}}

__

It is easy to demonstrate that none of the offered choices for this problem has the same value as 9/√3.

9/√3 ≈ 5.196. Offered choices have values of about 4.798, 1.732, 6.681, 23.196 -- none even close.

Please discuss this question with your teacher.

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3 0
3 years ago
What is the the solution to -2(8x-4) &lt; 2x+5
Kamila [148]
The solution will be x>1/6
8 0
3 years ago
Read 2 more answers
What's the rate of -3(x-2)-8
Charra [1.4K]

Answer:

-3x-2

Step-by-step explanation:

5 0
3 years ago
1
Scilla [17]

Answer:

124.51%

Step-by-step explanation:

In this problem, we are expected to solve for the percentage change, given the opening  point and the closing point

given that the low is 4014

and the high is  9012

the formula to calculate the percentage change is given as

%change= (high-low)/low*100

substituting our given data we have

%change= (9012-4014)/4014*100

%change= (4998)/4014*100

%change= (1.2451)*100

%change= 124.51%

The total change in the stock market from the beginning of the day to the end of the day is 124.51%

hope this helps

sorry if wrong

#Virgo2007

4 0
3 years ago
The hanger image represents a balanced equation (look at picture)
nekit [7.7K]

Answer:

A) 27 = b + 9

b=18

Step-by-step explanation:

When given a balanced scale (represented by a hanger in this image), the sum of the values on one side equals the value on the other side. Thus, the equation that this hanger represents is the following:

27 = b + 9

Use inverse operations to solve this equation,

27 = b + 9

-9

18 = b

3 0
3 years ago
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