Mathematics High School

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

A value is decrease by 92% for a new value of 13.12 find the original value

Answers

Step-by-step explanation:

Decreased by 92% = 8% of original

8% of original value = New value = 13.12

100% of original value = 13.12 * (100/8) = 164.

The original value is 164.


What is the domain of h?h(x)=4/x-5

Answers

Answer:

(−∞, 5) ∪ (5, ∞)

Step-by-step explanation:

I really hope it helps!

Good Luck!

1. Jacob has $500 saved. He receives a gift of $100 as a graduation present.
Write an expression for the total amount of money he has.

Answers

Jacob now has 600 dollars.

Solve using quadratic formula.
[tex]4 {s}^{2} + 8s + 4 = 0[/tex]
​

Answers

s = - 1
Hope this help!

Write the equation of a line parallel to the line y = 2x that passes through 0,4

Answers

Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.

Answer:

y = 2x + 4

Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).

Do this for a lot of points and brainly!!! Asap

Answers

Answer:

(-4,1)

Step-by-step explanation:

you can choose any point on the line

Sophia scored 33 points in a basketball game. She scored four
more two-point baskets than three-point baskets.
Write a system of equations in standard form that models this
situation.
How many three-point baskets did Sophia make?

Answers

Answer:

Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.

A basketball player scored 33 points in one game.

So a + 2b + 3c = 33

He scored four more 2-point baskets than he did 3-point baskets.

So b = c + 4

The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.

So a = b + c

and since b = c + 4,

a = (c + 4) + c = 2c + 4

Substituting in a + 2b + 3c = 33,

(2c + 4) + 2 * (c + 4) + 3c = 33

which simplifies to

7c + 12 = 33

So c = 3, b = 7, a = 10

Answer:

The system of equations in standard form that models this situation are:

2x+3y=33

x-y=4

ITS RATIOS
BTW DON'T MIND I ANSWERED IT I CLICKED ONE BY ACCIDENT

Answers

Answer: 9:4

Step-by-step explanation:

I think

A table shows a proportional relationship where k is the constant of
proportionality. The rows are then switched. How does the new constant of
proportionality relate to the original one? *

Answers

They relate because the original constant of proportionality is a unite rate. Then the flipped constant of proportionality would not be a unit rate. It's basically the reciprocal of the original constant of proportionality or K.

Use the rules of significant figures to simplify the following expression: 47.2 - 6

Answers

Answer:

41.2

Step-by-step explanation:

Question 6 Multiple Choice Worth 5 points)
(04.07A LC)
Which equation does the graph below represent?
20
16
12
8
4
1
2
3
5
-5 -4 -3 -2 -1 0
4
-8
-12
-16
-20
y = a + x
y = 1 X
y = 4 + x
y = 4x

Answers

Answer:

The equation of the graph is;

y = 4·x

Step-by-step explanation:

The coordinates of two points, (x₁, y₁), and (x₂, y₂) respectively on the straight line graph are;

(-3, 12), and (2, 8)

The slope, m, of the straight line graph is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, by substitution of the values, we have;

[tex]Slope, \, m =\dfrac{8-(-12)}{2-(-3)} = \dfrac{8 + 12}{2 + 3} =\dfrac{20}{5} = 4[/tex]

The equation of the graph in point slope form is therefore;

(y - 8) = 4×(x - 2)

y = 4·x - 8 + 8 = 4·x

y = 4·x.

The turtle pond measures 40 square feet. 1 turtle requires approximately 2 square feet of space. Using this information, determine the maximum population size of the turtles in the pond.

Answers

Answer:

20 turtles

Step-by-step explanation:

40 divide 2 = 20

What would you call the shape of this formula (C3H8)

Answers

An overall shape of a modified tetrahedral with three tetrahedrals embedded within. The three carbons are all central atoms.

Find the value of x and y.

Answers

Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

This question hard solve fast lots of points

Answers

Answer:

2<a<5

Step-by-step explanation:

A salesperson makes a 35% commission and makes a sale for $425. Determine the commission the salesperson will make.​

Answers

$425-35%= $276.25
hope this helped

hi can someone please help me

Answers

Answer:

Volume = 1436.8 cm³

Step-by-step explanation:

Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = radius of the sphere

For a sphere which has the radius = 7 cm

Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]

                                     = 1436.76

                                     ≈ 1436.8 cm³

Therefore, volume of the sphere is 1436.8 cm³.

6/7 + 6/14
it says your answer should be a whole​ number, fraction, or mixed​ number

Answers

Answer:

1 2/7

Step-by-step explanation:

i did the math :) ................

Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?

What is the least number of days after Monday that Joseph needs to run to reach his goal?

Answers

Answer:

Step-by-step explanation:

At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.

To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.

3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles

Pls help and SHOW WORKINGS....due ASAP

Answers

Answer:

(B). 50°

Step-by-step explanation:

(5x + 55)° = (2x + 100)°

5x + 55 = 2x + 100

5x - 2x = 100 - 55

3x = 45

x = 15

5(15) + 55 = 130°

m∠2 = 180° - 130° = 50°

X= 15 because it just does

Use a graphing calculator or other technology to answer the question.

Which quadratic regression equation best fits the data set?




yˆ=1.87x2+5.16x+10.54

yˆ=1.87x2+5.16x

yˆ=1.87x2−5.16x+10.54

yˆ=−1.87x2+5.16x
x y
1 5.9
2 8.9
3 13.4
4 20.1
5 30.1
6 45.1
7 67.7

Answers

9514 1404 393

Answer:

   (c)  y = 1.87x^2 -5.16x +10.54

Step-by-step explanation:

The attached graphing calculator output shows the best choice is the third one.

__

Additional comment

The best fit is offered by a function of degree about 3.7. Even a cubic offers much better fit than this quadratic.

Answer:

yˆ=1.87x^2−5.16x+10.54 is correct for all future users

Step-by-step explanation:

Use the distributive property to rewrite each expression. -5(3-h)

Answers

Answer:

−15+5h

Step-by-step explanation:

Answer:

-15 + 5h

Step-by-step explanation:

-5( 3 - h)

(-5*3) (-5*-h)

-15 + 5h

Hope this helps!

Please hurry!

What is the rate of change of the function shown on the graph? Round to the nearest tenth.

A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50​

Answers

Answer:

B

Step-by-step explanation:

(2x - 5), (2 +30), and (2x – 5)
Solve for x

Answers

You solve for x it’s your work isn’t it lots

An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?

Answers

Answer:

0.12 miles is it flying per second.

Step-by-step explanation:

The distance d is related to time t in seconds is given by the equation as follows :

d =0.12 t

We need to find how many miles is it flying per second.

[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]

So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.

What school subject is a witch good at?

Answers

Answer:

Spelling

Explanation:

Not gonna bother explaining the joke, I'm not that boring.

spelling!!:!:!:!.hahahaha

i realllllllllllllllllllllly neeeeeeddddd help on this one pleaseeeeeeeeeeeeeeeeeeeeee
Carlos traveled at an average speed of 70 miles per hour for 2.5 hours and then traveled at an average speed of 80 miles per hour for 3.5 hours. What was the total distance in miles that Carlos traveled during that time

Answers

Answer:

70 * 2.5 = 175

80 * 3.5 = 280

175 + 280 = 455 miles all together

Step-by-step explanation:

I hope this helps :)

Please solve!! :)
-3 lx+4l= -6

Answers

Answer:

x = -2, -6

Step-by-step explanation:

I used a site called tiger algebra to solve this so I don't know how, but I hope this helped you anyway. :)

how do you solve this using the substitution method?

Answers

Answer:

x=13, y=36

Step-by-step explanation:

y−2x=10

6x−2y=6  −2x+y=10

6x−2y=6

6x=2y+6

x=  1/6(2y+6)

x=1/3y+1

-2(1/3y+1)+y=10

-2/3y-2+y=10

1/3y=12

y=36

Substitute y  to check your answer

x=1/3*36+1

x=12+1

x=13

And to go further if you wish to check your answer you can substitute x

4. An annual pass covering emtrance fees to more than
2,000 national parks costs $80. If the total income from
the annual passes is $12,800 in one month, which equation
can you use to find the number of passes purchased that month?
F. 12,800p = 80
H. 80p = 12,800
G. 12,800 – p = 80
J. 80 + p = 12,800

Answers

Answer:

Search it up

Step-by-step explanation:

Someone already answered it on brainly

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