The rectangle below has an area of 55x^6+22x^455x 6 +22x 4 55, x, start superscript, 6, end superscript, plus, 22, x, start superscript, 4, end superscript. The width of the rectangle is equal to the greatest common monomial factor of 55x^655x 6 55, x, start superscript, 6, end superscript and 22x^422x 4 22, x, start superscript, 4, end superscript. What is the length and width of the rectangle?

Answers

Answer 1

Answer:  I had difficulty reading the problem, so please check my interpretation.

Width is 11x^4 and Length is 5x^2 + 2

Step-by-step explanation:

Area of rectangle is 55x^6+22x^4Width is equal to the GCF of 55x^6 and  22x^4

The greatest common factor of 55x^6 and  22x^4 is 11x^4.  So the width is 11x^4.

Length = (55x^6+22x^4)/(11x^4)

Length = 5x^2 + 2


Related Questions

Factor the following polynomial completely. x2n – y2n

Answers

Answer:

(x/y)^2n-2n

(x/y)⁰

=1

since any number raised to power of 0 is 1

Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?

Answers

Usando un sistema de ecuaciones, se encuentra que:

Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.

Para el sistema, considera-se que:

x es el peso de una caja grande.y is el peso de una caja pequeña.

Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:

[tex]3x + 5y = 112[/tex]

Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:

[tex]6x + 2y = 118[/tex]

Simplificando por 2 :

[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]

Reemplazando en la primera ecuación:

[tex]3x + 5y = 112[/tex]

[tex]3x + 5(59 - 3x) = 112[/tex]

[tex]3x + 295 - 15x = 112[/tex]

[tex]12x = 183[/tex]

[tex]x = \frac{183}{12}[/tex]

[tex]x = 15.25[/tex]

[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]

Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.

Un problema similar es dado en https://brainly.com/question/24646137

what is the difference of 23xand 9 x​

Answers

Answer:

14x

Step-by-step explanation:

.....................

The Shanghai Maglev Train takes 8 minutes to travel a distance of 30.5 kilometres.

Work out the average speed of the train.

Answers

Answer:

228.75 km/h

Step-by-step explanation:

average speed = total distance / total time

The Average speed is 228.75 Km/h.

What is speed- Distance Formula?Speed = Distance/TimeDistance = Speed X Time, and Time = Distance / Speed,

Given:

Distance= 30.5 Km

Time= 8 min

       = 8/60 hr= 2/15 hour

Now, Average speed= Distance / time

                                  = 30.5 x 15/2

                                 = 228.75 Km/ h

Learn more about average speed here:

https://brainly.com/question/9834403

#SPJ2

1. Two students are asked to find the angle measures of AEFG, given that the triangle is isosceles. AEFG has an exterior angle at which has a measure of 110%. Their work is shown below.
Which answer is correct? Explain below.

Serin's Answer: The measure of Angle G is 70 degrees. Since the base angles are congruent, the measure of Angel F is also 70degrees.This leaves 40 degrees for Angle E.

Lam's Answer: The measure of angle G is 70degrees. Since an isosceles triangle has two congruent angles, the measure of Angle E and Angle F must be 55degrees

O Both are correct.

ONeither is correct.

Answers

Answer:

∆EFG has an exterior angle at G which has a measure of 110°. Which answer is incorrect ... Since external angle is 110 degrees, the internal is 70 degrees

Step-by-step explanation:

no problem we all get stuck

The angles can be ∠ G  = 70°, ∠ F = 70° and ∠E =  40° or ∠ G  = 70°, ∠ F = ∠ E = 55° hence both are correct so, option C is correct.

What is triangle?

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The triangle is isosceles, and AEFG has an exterior angle at which has a measure of 110°,

Calculate the interior angles of the triangle as shown below,

∠ G = 180 - 110  (exterior angle)

∠ G  = 70°

Since the remaining angles can be ∠ F = 70° and ∠E = 180 - 70 + 70 = 40°

or ∠ F = ∠ E = 55°

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ2

The base of a triangle is 13 cm rounded to the nearest integer.
The perpendicular height of the triangle is 4.7 cm rounded to 1 dp.
Write the error interval for the area, a, of the triangle in the form m ≤ a < n.

Answers

Answer:

30.55 <_ a < 30.55

Step-by-step explanation:

a = 1/2 × b × h

a = 1/2 × 13 × 4.7

a = 30.55 cm^2

30.55 <_ a < 30.55

0.000456 in scientific notation (Please answer fast this is on my final math exam!)

Answers

Answer:

0.000456 in scientific notation

= 4.56 × 10-4

Step-by-step explanation:

Can I have brainliest?

0.000456 in scientific notation is 4.56 × 10-4

A rectangle of dimensions 60 units x 40 units is drawn on grid paper with vertices in
the nodes of the grid. A cell of the grid is 1 unit * 1 unit. A diagonal of the rectangle is
drawn. How many cells have been cut into two (not necessarily equal) parts?

Answers

The number of cells which have been cut into two parts is approximately ; 72 units

According to the question;

The rectangle has dimensions 60 units x 40 units.

Provided a cell of the grid is 1 unit * 1 unit.

When a diagonal of the rectangle is drawn;

The number of cells which have been cut into 2 pieces is the length of the diagonal of the rectangle.

Diagonal, D² = 60² + 40²

D² = 3600 + 1600

D² = 5,200

D = √5200

D = 72.11 units

Read more;

https://brainly.com/question/20054245

Answer: 80

see attached

Step-by-step explanation:

If you do a 3x2 units, and draw a diagonal line, you'll see 4 units are cut.  because it's 60x40, then means BOTH lengthwise & widthwise you'll repeat 20 times, so 20*4 units = 80 units.

1/6 to 4/7 what is the ratio? Pls hurry!

Answers

Answer:

7:24

Step-by-step explanation:

Find the common denominator for both fractions: 42

1/6 x 7/7 = 7/42

4/7 x 6/6 = 24/42

7:24

(Pythagorean theorem) do the following lengths form a right triangle? Show steps

Answers

Answer:

8^2+6^2=10^10?

64+36=100

Yes

Hope This Helps!!!

Answer:

Yes,

Step-by-step explanation:

8^2 +6^2=100

[tex]\sqrt 100\\[/tex]= 10

is 5/8 greater than 61%? thanks i have late stuff that i need done

Answers

Answer:

5/8 is 62.5% which makes it greater

Step-by-step explanation:

Convert the fraction to a decimal and then just multiply it with 100

5/8 is 0.625

0.625×100 is 62.5

just add a %

then you get 62.5%

I need help with this :')

Answers

Answer:

Rate of change is 15/2

Step-by-step explanation:

Rate of change is the same as slope of a line.

( y1 - y2 ) / ( x1 - x2 )

( 30 - 15 ) / ( 4 - 2 )

15 / 2

Hopefully this helps!

Brainliest please?

PLEASE HELP.
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation of f as shown below. g(x) = f(-2/3x)
WILL GIVE 100 POINTS.

Answers

Step-by-step explanation:

Given function:

f(x) = x

The transformation of f(x) is g(x):

g(x) = f(-2/3x) = -2/3x

The graph of g(x) is attached below

The mean of 16, X, 3, 14,57 is 22. Find
Х

Answers

Answer:

20

Step-by-step explanation:

Given,

The mean of 16, X, 3, 14, 57 is 22.

Therefore,

(16+X+3+14+57)/5 = 22

(16+X+3+14+57) = 110

(90+X) = 110

X = 110-90

X = 20

The value of x will be 20.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mean of set 16, X, 3, 14, 57 is 22.

Now,

Since, The mean of 16, X, 3, 14, 57 is 22.

Hence, By definition of mean we get;

⇒ 16 + X + 3 + 14 + 57 / 5 = 22

Solve for x as;

⇒ 90 + X / 5 = 22

⇒ 90 + X = 22 × 5

⇒ 90 + X = 110

⇒ X = 110 - 90

⇒ X = 20

Thus, The value of x will be 20.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

write each power as a product of the same factor. Then find the value. 4^4

Answers

Answer:

256

Step-by-step explanation:

4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256

Mr smith’s Pizza parlor

Answers

The questions are not readable. try uploading a better picture.

What expression is equivalent to 42+18

Answers

I think the answer is 20+40...

what are the coordinates of the point 2/3 of the way from A to B? A (-5,-5). B(7,8)

Answers

In my opinion I think it’s A

What is an equation of the line that passes through the point (-7, -6) and is
parallel to the line 2 - y = 7?

Answers

Answer:

[tex]y = -6[/tex]

Step-by-step explanation:

Because is a line is of the form

[tex]y = mx + b[/tex]

and its parallel to the line

[tex]2 - y &= 7\\- y &= 5\\y = -5[/tex]

So that's meaning that the slope [tex]m[/tex] is equal to 0 then the equation now is of the form

[tex]y = b[/tex]

Then if pass for the point -6 and [tex]b[/tex] is the point of cut with the [tex]y[/tex] axis then our equation of the line is equal to

[tex]y = -6[/tex]

Sam is 4 years younger than Linda. The sum of their ages is 28. Find both Sam and Linda’s age and show your work.

Answers

Answer:

Sam = 6 years

Linda = 22 years

Step-by-step explanation:

this is best solved by using an algebraic equation

let Sam's age be x

let Linda's age be 4x

now that we defines our variables let's make an algebraic equation

the sum of their ages is 28 so

4x + x = 28

combine like terms

5x = 28

find for x

x = 28÷ 5 = 5.6 (don't approximate yet let's take the raw age)

Sam is 5.6 years

Linda is 4 years older so we multiply Sam's age by 4

4 × 5.6 = 22.4

Linda is 22.4 years

now let's round our answers to the nearest whole

5.6 ~ 6 years

22.4 ~ 22 years

let's double check and add our answers now

22 + 6 = 28

the answer is correct

7. Write an equation for the line in slope- intercept form ​

Answers

Answer:

y equals -2x - 3

Step-by-step explanation:

hope it helps

(would appreciate mark brainliest)

8 I am 8 yeard old, my father is24 years older than iam ,how old was my father 5 years ago?​

Answers

Step-by-step explanation:

He was 19 years old when you were 5

8 + 24 = 32

32 - 5 = 27

HELPPPPP!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think b im not too sure

Step-by-step explanation:

Answer:

C  8

Step-by-step explanation:

3 apples/2 oranges = 12 apples/x

3/2 = 12/x

3x = 24

x = 8 oranges

An unopened cereal box contains 15/28 cubic foot of cereal. If the box is full, and the length and height of the box are 5/7 foot and 1 1/2 feet, respectively, what is the width of the box?

Answers

Answer: the answer is 1/2

Step-by-step explanation:

0.35 is best known as what number

Answers

Rational number. hope this helps

Convert 4.5 to a mixed number help for brainlist with explanation!

Answers

Answer:

4 1/2

Step-by-step explanation:

the 4 means that the whole number will be 4. .5 means that there is one half of 1, so 1/2 will be the decimal

we can also write the decimal as an improper fraction.

45/10

then, reduce the fraction by 5

9/2

2 can go into 9 four times, so that is our whole number. 2 times 4 is 8, so there is 1 left in the numerator.

4 1/2

It’ll be 45/10!!!
With 4 being the whole number you multiple by the denominator which .5 being written as a fraction would be 5/10. With 4 multiples by 10 being 40, you then add the numerator 5 to get 45 and you write it as a fraction over 10.

One member of the solution set of 3x + 2 > x + 8 is

(A) 1

(B) 3

(C) 5

(D) -4

Anyone know the answer to this ?

Answers

3x + 2 > x + 8

3x - x > 8 -2

2x > 6

x > 3

ok done. Thank to me  :>

What is the equation for this? please help!!

Answers

Answer:

the equation is y=x^2+8

Natalie is graphing point T at (1,8). should she moves to the right 8 units or up 8 units? Explain

Answers

Answer:

move 1 to the right and 8 units up

Step-by-step explanation:

What is the slope of the graph of the given line?

Answers

Answer:

slop = 2/3

Step-by-step explanation:

slope = rise/run

Start at the lower left point (-2, -1).

We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).

First we go up 4. The rise is 4.

Then we go right 6. The run is 6.

slope = m = rise/run = 4/6 = 2/3

slope = 2/3

Other Questions
Consider the equation below.-5n + 31 - 14n -559 + 31 = 14n 5-Select the equation that has the same solution.-1 22n20n 91 22n = 20n - 901 = 0.75n + 3.251 = 0.75n + 3.25In + 2 = 3+ min + 2 =3 + 13 6n + 3n = 3 + 4 4n3 6n + 3n = -3 + 4 4n 50 xhow to find value of unknown angle Does someone have the answer to this??? Thank You so much Derricks team is setting guidelines and expectations about attendance and communication. which stage of development will his team enter next? You can spend at most $24 at the fair. Game tickets cost $2 each and ride tickets cost $4 each. You want to buy at least 3 game tickets and more than 2 ride tickets. Write and graph a system of linear inequalities to represent this situation. How many of each ticket could you buy? QuestionA map of a farm is shown in a coordinate plane in which the coordinates are measured in yards. The map shows the barn at (-5, 4). A well is dug at (-5, y). What are two values of y such that the barn is 30 yards from the well? rewrite the following sentence using imagery to make the description more detailed and specific. it started to rain Wines are produced from fermentation of crushed grapes. What causes the either white or red color of wine Explain how 20% can be different amount, GameStops best Black Friday deals: games, accessories, and more11/25/2021 7:00 PM EST What is the equation, in standard form, of a parabola that models the values in the table?PLS HELP!!! 1/8+3/4= ______________ Question 6 of 10Which of the following questions applies the strategy of comparing andcontrasting?A. How did soldiers in the Civil War feel about their jobs?B. What were the economic effects of the Cold War in the SovietUnion?C. When did the civil rights era really begin?O D. Have some religions been more involved in religious wars thanothers?SUBMIT the woman known as the godmother of thanksgiving also wrote which nursery rhyme? : Describe the type of gameplay seen during early video games (ex. Spacewar!, Pong). Three birds shared a nest and laid 17 eggs altogether. Each bird laid AT LEAST one egg. If each bird laid an ODD number of eggs, which of thefollowing could be the MAXIMUM number of eggs laid by one bird?A) 11 B) 13 C) 15 D) 17 Given the graph below, which of the following could be the quadratic equation?A. [tex]3(x + 2 {)}^{2} + 5[/tex]B. [tex] - {x}^{2} + 8x + 18[/tex]C. [tex] - 2(x - 3 {)}^{2} + 1[/tex]D. [tex] {x}^{2} - 8x + 18[/tex]Needs to be answered quickly "Greece and Turkey were early flashpoints in the Cold War. How did the United States respond to unrest in Greece and Turkey in 1947" passes through (2,-3) with a slope of -9/2 Which of the following are equivalent to 1 Newton?