The rectangle below has an area of 12y^2+21y^512y 2 +21y 5 12, y, squared, plus, 21, y, start superscript, 5, end superscript. The width of the rectangle is equal to the greatest common monomial factor of 12y^212y 2 12, y, squared and 21y^521y 5 21, y, start superscript, 5, end superscript. What is the length and width of the rectangle? \text{Width} =Width=start text, W, i, d, t, h, end text, equals

Answers

Answer 1

Answer:

This means that the width = 3y²

The length = 4y+7y³

Step-by-step explanation:

Given

Area of the rectangle = 12y^2+21y^5

Width of the rectangle is the greatest common monomial of 12y^2 and 21y^5

First let us get the greatest common monomial of 12y^2 and 1^5

12y^2 = (3  * y * y) * 4

21y^5 = (3 * y*y)*y*y*y* 7

Hence the greatest common monomial is 3 * y * y = 3y²

Factor out 3y² from the area function;

12y^2+21y^5

3y² (4y+7y³) = Area of the rectangle

Length * Width = 3y² (4y+7y³)

On comparing both sides of the equation

This means that the width = 3y²

The length = 4y+7y³

Answer 2

Answer:

4y^2

Step-by-step explanation:


Related Questions

A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.

Answers

Answer:

y = -0.5x + 6, Domain [0,12] and Range [0, 6]

Step-by-step explanation:

The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.

Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.

Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.

Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]

Hope this helped!


Finding Missing Sides
These two figures are the image and pre-image of a
dilation.
Find the value of x
4 m
6 m
O 4 m
O 6 m
* 8 m
09 m
6 m

Answers

Answer:

the answer is 9

Step-by-step explanation:

I did this quiz the other day and I'm pretty sure that is the answer I hope this helps

Misaki cut some wood for a bookcase she is building.She needs to find how many 13 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem.

Answers

Complete question :

Misaki cut some wood for a bookcase she is building.She needs to find how many 1/3 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem

Answer:

15

Step-by-step explanation:

Total Size of board = 5 feets

Size of board to be made = 1/3 feets

Number of 1/3 feets board to be made from 5 feets board :

Total size of board / size of board to be made

5 feets ÷ 1/3 feets

5 feets * 3 / 1 feets

= 15

Hence, number of 1/3 feets board that can be made from 5 feets board = 15

6y²-9xy
PLEASE HELP
.
.
.

Answers

Answer:

If you need to factor the expression your answer would be 3y(2y-3x).

me need help. xjjd j dsj​

Answers

i think it is 4.66? 14/3=4.66

Answer:

$4.67

Step-by-step explanation:

John + 2 friends = 3

Total cost = $14

$14/3 = $4.6666

$4.6666 ---> $4.67

Consider Brainliest! Hope I helped!

Madison walks 0.2 miles on each trip to the ball park.
How far will she walk on 4 trips?

Answers

Answer:

0.8 miles

Step-by-step explanation:

0.2 x 4 = 0.8

Multiply 0.2*4 that will give you have far she walk in 4 trips :)
0.2*4=0.8

The owner of a used car lot wants to buy as many cars at an auction as he can while not spending more than $20,000. if he expects the average price to be $4000, how many would he expect to be able to buy?

Answers

Answer:

5 cars

Step-by-step explanation:

If the average of cost of a car is $4,000 there will be enough cash to buy 5 cars. 20,000 divided by 4,000= 5.

what's the slope intercept form​

Answers

y=-1/4x+3 should be the correct answer

What is the slope for y = 4 + 3x? *
Your answer

Answers

Answer:

3

Step-by-step explanation:

i’ll mark brainliest i guess

Answers

Answer:

c

Step-by-step explanation:

21.35/7 is 3.05 and that is gas station a which is cheaper than 3.08

AABC is an isosceles triangle with vertex angle B, AB = 2x + 10, AC = 2x,
and BC = 4x - 16. Determine the length of the base of the triangle.

Answers are
A.117 degrees
B.26 degrees
C.15 degrees
D.22 degrees

Answers

Answer:

AC = 26 units

Step-by-step explanation:

Given that,

ABC is an isosceles triangle with vertex angle B such that,

AB = 2x + 10, AC = 2x,  and BC = 4x - 16

Two sides of an isosceles triangle are equal. It means that the angles corresponding to the same sides are equal. It means AB = BC

2x + 10 = 4x - 16

2x-4x = -10-16

-2x = -26

x = 13

AC is the base of the traingle.

AC = 2x

AC = 2(13)

AC = 26 units

So, the base of the triangle is equal to 26 units.

True or false, the following two triangles are congruent by HL.

A.) False
B.) True

Answers

The answer is for this question is true

Brooklyn has 4 3/4 cups of oatmeal. She is dividing the oatmeal into 1/3-cup servings.

Answers

Answer:

14 servings

Step-by-step explanation:

4 3/4 = 19/4

19/4 ÷ 1/3

19/4 × 3

57/4

14 1/4 serving if just want one solid answer its 14

Solve: -6y+2(y-6)=12

Answers

answer: = -6 mark me brainly

Answer:

Step-by-step explanation:

distribute

=

6

A group of friends eat at​ Jae's cafe. They have an online coupon. The costs of their main​ courses, before applying the​ coupon, are​ $13.99, $16.99,​ $19.99, and​ $21.99. The total cost of their drinks is​ $12.00. What will their bill be before tax and​ tip?

Answers

Bill before tax and tip will be generated by the original prices of main courses . The total bill is of $84.96

Given, prices of main course at cafe .

The total bill without applying the coupon for that we simply need to add respective costs of main course and drinks bill.

Just adding all the costs to find the bill:

= $(13.99 + 16.99 + 19.99 + 21.99 + 12)

=$84.96

Now since the question asks not to apply coupon and tip so the bill will remain as it is .

Know more about discount,

https://brainly.com/question/20885539

#SPJ4

Lee is selling spirit wear for a fundraiser hats cost $8 and shirts $12 lee sold $272 worth of spirit wear in the first month. If lee sold a total of 28 items how many hats did Lee sell

Answers

16*8=128
12*12=144

128
+ 144
$272

Lee sold 16 hats

Lee sold 16 hats.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Cost of 1 hat= $8

Cost of shirt = $12

Total cost of spirit wear= $272

let the number of hats sold be x

and, let the number of shirts sold be y

So, 8x+ 12y= 272

and, x+ y= 28

Solving the above equations we get

8(28- y) + 12y= 272

224 - 8y + 12y = 272

4y = 48

y = 12

and x= 28- 12 = 16

Hence, Lee sold 16 hats.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ5

Karsyn went to the movies with her boyfriend Chandler. The movie cost them $25. Karsyn was really hungry because Chandler did not take her out to dinner. She made him buy her snacks for 4.00 each. How many snacks did Chandler have to buy Karsyn, if he spent $44 on their date.

Identify the variable:

Write the equation:

How many snacks did Karsyn eat?

Answers

Answer:

4 snacks

Step-by-step explanation:

44 from the overall date - 25 from the movie = 19 dollars. 19 divided by four is 4.75. I'm not sure if this is a real question and you can have a decimal of a snack but you can just write approximately four snacks.

Which list contains three multiples of 6?
A.
12, 16, 24
B.
18, 24, 36
C.
16, 26, 36
D.
60, 66, 69

Answers

Answer:

Step-by-step explanation:

Since 18,24,36 all three are divided by 6

So option B is the correct option

Write a function rule that represents the sentence.
y is 4 less than the product of 7 and x.

Answers

Answer:

y = 7x - 4

just as it says in words

Which ordered pair is a solution of this
equation?
3x - 7y = 28

Answers

Answer:

(0,-4)

Step-by-step explanation:

I plugged in 0 for x.

3(0)-7y=28

-7y=28

y=-4

Solving Multi-Step
1. List the steps in order) require
3(z + 5) = 12
I
a)

Answers

Answer:

z = -1

Step-by-step explanation:

3(z + 5) = 12

Step 1: Divide both sides by 3.

z + 5 = 4

Step 2: Subtract 5 from both sides.

z = -1

z = -1

Explanation:

12 / 3 = 4

-1 + 5 = 4

Helps me solve this problem please

Answers

Answer:

The slope is -3/7 so B

Step-by-step explanation:

Just turn this into slope-intercept form.

what you do is subtract 3x so that it's moved to the right side.

It should look like this -7y = 12 - 3x

Then just divide all numbers by 7 so everything is simplified

It should look like this y = -3/7x - 12/7

pls mark brainliest because i didn't waste you time lol

How do you factor 3х2-8x?

Answers

Answer: 6-8x

Step-by-step explanation:

Nothing but slope.................

Answers

Answer:

1. 1

2. 3

3. 4

Step-by-step explanation:

An electrician charges $45 per hour plus a fixed charge of $30. Which of these equations could be used to determine C , the cost an electrician charges for h hours worked?

Answers

C= 45h+30

That’s the equation.

I attached a file pls answer quick i gotta sleep

Answers

Answer:

P(2, 3.5)

Step-by-step explanation:

If P partitions AB in the ratio 1:1, then P is the midpoint of AB

Using midpoint formula to find its coordinates

A = (1, 2), B = (3, 5) as per graph

Finding P:

P = ((1+3)/2, (2+5)/2) = (2, 3.5)

is the point (20,13) on this line?

Answers

Answer:

yes

Step-by-step explanation:

the graph needs to be shown for us to answer it.

Step-by-step explanation:

Find the limit !!!!!!

Answers

Answer:

1/8.

Step-by-step explanation:

Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.

Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2  -1

=  1 / [ 2 * (16 - x)^1/2

Derivative of the denominator =  1

When x approaches 0 this is 1 / (2*4)

= 1/8.

Another way to do this is to multiply top and bottom by  4 + (16 - x)^1/2

This  becomes   16 - (16 - x) / x(4 + (16-x)^1/2)

= 1 / (4 + (16 + x)^1/2

When x ---> 0

this = 1 /(4 + 4)

= 1/8.

express 50 1/4 in simplest radical form

Answers

Answer:

Step-by-step explanation:

This is just an improper fraction when done.

numerator: 50*4 + 1 = 200 + 1 = 201

denominator: 4

Answer: 201/4

According to the table, during which interval did the average time spent on hold increase?
O week 1 to week 3
O week 1 to week 4
O week 4 to week 6
week 3 to week 5

Answers

Answer:

d

Step-by-step explanation:

took the quiz

Other Questions
Can someone please help me 1) What would be another way to name plane M?(picture attached) A. plane KJH B. plane J C.plane HJG D.plane GJN after 1min I will post a question for brainlist what is the role of the medical professional in the beginning an exercise program Who was responsible for the battle of little big horn? latisha has 7 boxes with 21 shells in each box. she has 6 bags with 17 shells in each bag. she uses 18 shells to make a design. which of these expressions can latisha use to find how many shells are left easy question solve and get 10 points 3245=3100__2____4__+5the same number goes in each of the blank space to make the number sentence correct what is the missing number options101003111000 I need to find the orbit notation 1. Ne - 1s 2s 2p 3s 3p 4s 3d 4p 5s Cause:? Effect: Lemur population is decliningA: Lemurs have few pups. B: Lemurs are being put in zoos. C: Predators are killing off lemurs. D: Forests, where lemurs live, are being destroyed. Your sister has gained admission into your former school.write a letter to her giving her information about the school and advise her on how to behave well while in school What is the length of segment DF?B4/28168C2 A23846828F5Type your answer. Which paragraph in a informative essay supporting evidence about the topic Which health-care worker is using the best documentation strategy?An EMT records symptoms as he notices them.A doctor writes prescriptions quickly.A technician implements the use of new symbols.A nurse uses approved abbreviations, What do you think the author is trying to convey about the Demographic Transition Model? Part A Why does Franklin think he has to help the king investigate Dr. Mesmer? O He worries that Dr. Mesmer will become more popular than he is. He believes he must repay the king. He thinks it is the only way to prove Dr. Mesmer's powers are real. O He wants the king to reward him. Part B 21 . a lip I cant find this answer ANYWHERE. Please helpThe table shows the relationship between the number of drops of food color added to different number of cups of cake frosting:Cups ofFrosting Drops ofFood Color2 63 94 12Which point below shows an equivalent ratio in this situation?A graph is shown. The title of the graph is Cake Decorating. The horizontal axis label is Frosting in cups. The horizontal axis values are 0, 10, 20, 30, 40, 50, 60. The vertical axis label is Food Color in drops. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Point C is plotted on the ordered pair 60,20, and Point M is plotted on the ordered pair 50, 150.A. Point M, because if drops of food coloring are 50, then cups of frosting will be 150B. Point M, because if cups of frosting are 50, then drops of food coloring will be 150C. Point C, because if cups of frosting are 60, then drops of food coloring will be 20 D. Point C, because if drops of food coloring are 60, then cups of frosting will be 20 What is the beta of a portfolio comprised of the following securities? Stock Amount Invested Security Beta A $ 4,000 1.44 B $ 5,000 1.55 C $ 7,500 1.00 PLEASE HELP Write equations of the horizontal and vertical lines that pass through the givenpoint.12. (-3,-4)Horizontal line:Vertical line: Please someone do this I have a lot of school to do and I can't because i just got home and it's due by 7! I'll give brainiest!!! And five stars!Please define the following terms:mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights. Please help! (I'll give brainliest to the first right answer.)