Simplify:

√27x^2y^2

A) 27xy
B) 3xy
C) 3xy√3
D) xy√27

Simplify:27x^2y^2A) 27xyB) 3xyC) 3xy3D) Xy27

Answers

Answer 1

Answer:

[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]

Hence, option C is correct.

Step-by-step explanation:

Given the expression

[tex]\sqrt{27x^2y^2}[/tex]

simplifying the expression

[tex]\sqrt{27x^2y^2}=\sqrt{27}\sqrt{x^2}\sqrt{y^2}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

               [tex]=\sqrt{27}x\sqrt{y^2}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                [tex]=\sqrt{27}xy[/tex]

                [tex]=xy\sqrt{3^3}[/tex]

                 [tex]=xy\sqrt{3^2\cdot \:\:3}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                  [tex]=3xy\:\sqrt{3}[/tex]

Therefore,

[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]

Hence, option C is correct.


Related Questions

PLZ HELP!!!

Carmen enters a painting in an art contest. The contest rules say that all paintings must be rectangular with an area no greater than 3,003.84 cm2 . Carmen's painting is 16 cm wide.

What is the greatest length the painting can have and still have an area within the contest rules?

Answers

Answer:

[tex]187.74\:\mathrm{cm}[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Therefore, we can set up the following inequality:

[tex]l\cdot 16 \leq 3,003.84[/tex].

Solving this inequality, we have:

[tex]l \leq 187.74[/tex].

Therefore, the largest length Carmen's painting can be is [tex]\fbox{$187.74\:\mathrm{cm}$}[/tex].

What's the answers to theseeeee help need it bye 12:00

Answers

We were just leaving about this

Helppp againnn... please-

Answers

Answer:

Its 16/81

Step-by-step explanation:

Which set of statements shows the correct steps to find 45 percent of 75

Answers

I would love to help but you didn’t post the set of statements

Answer:

multiple o.45 by 75 the answer is the answer to the problem

Step-by-step explanation:

Please help. Due today!

Answers

I think RT = 10
Have a great day :)

How do you find the slope when you are only given an equation or a table?

Answers

Answer:

All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope in an equation is the number before the x

in a table it is y2-y1/x2-x1

Only answer the part where it says her bonus will be______

Answers

Her bonus would be four dollars. I hope this helped!

Answer:

her bonus will be a big paycheck of 99999

22
An airline offers a discount one way flight to New York City for $162 80. If the usual price for the ticket is $185.00, what is the percent discount

Answers

The discount is 12% because 185*0.12=22.2 and to get the discount price you have to subtract the values 185-22.2=162.80.

The marks of Riju in Mathematics test increased from 20 to 30. What is the percentage of increase?

Answers

Answer:

hope it is helpful

Step-by-step explanation:

10 is the increase in number

orignal vale is 20

so

increase %=increase in orignal value/orignal value ×100

=10/20×100=50%

what three ratios are equivalent to 11: 1

Answers

Answer:

33/3  

55/5

77/7

When these are simplified, they are equal to 11/1

12. Which expression is equivalent to 5x + 9?
5(x - 4) + 29
5(x + 4) + 29
5(x - 4) + 9
5x + (x + 9)

Answers

Answer:

the first one, 5(x-4) + 29

Step-by-step explanation:

Leah is training for a bike race she start by biking 8 miles during every training session each week she plans to increase the distance of her training session by 3/4 mile W the number of weeks write an expression to show the distance Leah bikes in a training session after W weeks

Answers

Answer: 8 + 3/4W

Step-by-step explanation:

From the question, we are informed that Leah is training for a bike race she start by biking 8 miles during every training session and that each week she plans to increase the distance of her training session by 3/4 mile W the number of weeks.

The expression to show the distance Leah bikes in a training session after W weeks will be:

= 8 + 3/4W

For example, after 4 weeks, the distance biked will be:

= 8 + 3/4W

= 8 + (3/4 × 4)

= 8 + 3

= 11 miles

Find the missing value of the variable
55°
x + 74
54°

Answers

Answer:

x = -3

Step-by-step explanation:

55 + 54 = 109

109 + 74 = 183

Triangles = 180 degrees

So, 74 - 3 = 71

And 55+54+71 = 180

Find the slope given the following ordered pair
(-3, 4) and (-3, -8)

Answers

Answer:

There is no slope

Step-by-step explanation:

There is no slope bc the entered points belong to a vertical line

the equation: x = -3


The price of Netflix increased from $8 to $10 per month. By what percentage was the price
of Netflix increased?
Answer

Answers

Answer:

2%

Step-by-step explanation:

The percentage it was increased was 2%

The volunteers at a high school football team's concession stand are trying to decide on the price of the hot dogs they are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in the price, the number of hot dogs sold per game decreases by 8. The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression -8x2 + 54x + 140, where x is the number of $1 increases in price.

Answers

Answer:

The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Step-by-step explanation:

To find: What is the constant term in the polynomial expression, and what does it represent?

The given expression is [tex]-8x^2 + 54x + 140[/tex].

To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.

=[tex]-8(0)^2 + 54(0) + 140[/tex]

=[tex]140[/tex]

The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.

Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

The table and the graph each show a different relationship between the same two variables, x and y:

How much more would the value of y be in the table, than its value on the graph, when x = 11?
Group of answer choices
110
170
385
495

Answers

Answer:

[tex]\displaystyle 385[/tex]

Step-by-step explanation:

The rate of change [slope] of the graph is 35, and for every two blocks you horisontally move represents seventy blocks vertical-wise, therefore an ELEVENTH block would require you to split 70 in half, giving you 35, then add this to 350 to get 385.

I am joyous to assist you at any time.

Answer:

The answer is Option B.) 385

Step-by-step explanation:

The pace of progress of the chart is 35, and for each two squares you horizontally move addresses seventy squares vertical-wise, thusly an 11 square would expect you to part 70 fifty-fifty, giving you 35, then, at that point, add this to 350 to get 385 as a result.

12. Which explains whether the relation shown is a function?

A) The relation is a function since it is continuous.

B) The relation is not a function since it is not symmetrical

C) The relation is a function since it passes the vertical line test

D) The relation is not a function since it does not pass the horizontal line test.

Answers

Answer:

C

Step-by-step explanation:

the vertical line test is when you check to see if a point of the graph is passed twice. in this case it does pass the vertical line test. therefore, it is a function.

Answer C final answer: C

Emma has 2 2/3 pies. Sam has 1/2 of Emma's amount. How much pie does Sam have

Answers

Answer:

1 and 1/3 pie

Step-by-step explanation:

2 2/3 divide by 1/2= 1 and 1/3

Last month, the average price for half gallon of milk in Kroger was $2.05. Now this month, the average price for half gallon of milk in Kroger was $2.25. Which of the following could be used to calculate the percent of increase, p, in the price for half gallon of milk?
A 0.20/ 2.25 = p100
B 0.20/2.05 = p100

Answers

B,hope it’s help have a great day

I need to know how to solve them

Answers

Answer:

ture ture false

ghkffdxvjllhgdfh

PLZ I NEED HELP ILL MARK U BRAINLEIEST

Answers

45 45 90 triangles
the hypotenuse is x radical 2
so the two answers are 2 and 6
because 6 radical 2 times radical 2 is 6 radical 4 or 6 times 2 = 12

Help, please! In the diagram, FH = 1/3AC and 3FG = AB. What additional information is necessary to prove that ΔABC is similar to ΔFGH, using the SSS similarity theorem?

1. 2. 3. BC/GH = 3
4. BC/GH = 1/3

Answers

Answer:   BC/GH = 3

=======================================================

Explanation:

The order of the letters is very important. This is because the order tells us how the angles pair up and that leads to telling us how the sides correspond to one another.

Note with ABC and FGH, the first and last letters are AC and FH respectively. These sides correspond. We're told that FH is 1/3 as long as AC when your teacher wrote FH = (1/3)*AC; we can solve for AC to get AC = 3*FH.

Going back to ABC and FGH, we see that the first two letters of each are AB and FG. This is another pair of corresponding sides. We're told that 3*FG = AB. So AB is three times longer than FG.

So far we can see that

AC = 3*FHAB = 3*FG

The missing information we need is that BC = 3*GH. If we know this, then we can use the SSS similarity theorem to prove the triangles are similar. Note how BC are the two last letters of ABC while GH are the last two letters of FGH.

Starting with BC = 3*GH, we can divide both sides by GH and we get BC/GH = 3.

pls help ASAP ‼️ will give brainliest

Answers

Answer: 2592

Step-by-step explanation:

Answer:

2592

Step-by-step explanation:

Im going to separate this to a square and a rectangle

36*36=1296

72*18= 1296

so 1296+1296=2592

thus the answer is 2592

good luck

A spinner has 3 yellow and 5 blue sections of equal size. A friend says the probability of getting a blue is 5:3. Describe and correct the error.

Answers

Answer:

5:8

Step-by-step explanation:

You have to combine the yellow and blue then put the blue amount in front.

12
Solve using the Quadratic Formula for 2x2 + 5x – 3 = 0
x = -5, 7
b. X = -12,2
X = -3,42

Answers

Step-by-step explanation

Step-by-step explanation:

[tex] \tt{2 {x}^{2} + 5x - 3 = 0}[/tex]

⇢ [tex] \sf{2 {x}^{2} + 5x + ( - 3) = 0}[/tex]

Here , a = 2 , b = 5 & c = -3 {a is the coefficient of x² , b is the coefficient of x and c is the constant term }

Now ,

[tex] \tt{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

⇢ [tex] \tt{x = \frac{ - 5± \sqrt{ {5}^{2} - 4 \times 2 \times ( - 3) } }{2 \times 2} }[/tex]

⇢ [tex] \sf{ x= \frac{ - 5±7}{4} }[/tex]

Taking positive ( + ) sign :

⇝[tex] \tt{x = \frac{ - 5 + 7}{4} = \frac{1}{2}} [/tex]

Taking negative ( - ) sign :

⇝[tex] \tt{x = \frac{ - 5 - 7}{4} = - 3}[/tex]

[tex] \purple{ \boxed{ \boxed{ \tt{⤑ \: Our \: final \: answer : \boxed{ \underline{ \tt{x = \frac{1}{2} , \: - 3}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

help please brainliest will be given

Answers

Answer:

Isn’t this social studies?

Step-by-step explanation:

answer pleaseeeeee i dont get this

Answers

Answer:

I don't really now! What grade are you in? I think he needs 10 cherry tomatoes or 24 I don't really know! Don't listen to me! I just making a educated guess.

Step-by-step explanation:

Answer:

60 cherry tomatoes for large salad and 24 cherry tomatoes for small salad

Step-by-step explanation:

10 x 6 equals 60 cherry tomatoes for the first row, for the second multiply 4 times 6 which equals 24 cherry tomatoes.

A scale factor of 4 is:
an enlargement
a reduction

Answers

A reduction I just took the test

Num. 3 What is the name of the ray shown?

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Because lines with arrows at the end means the line is continuing. Let me know if this is right . I hope I helped! :)

Answer:

the answer to this question is (C)

Step-by-step explanation:

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