A rectangle has sides measuring (6x 4) units and (2x 11) units. Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points).

Answers

Answer 1

The area of the rectangle is [tex]12x^{2} + 74x + 44[/tex]

The degree of the polynomial is 2nd degree and the classification of the polynomial is trinomial

The closure property of the polynomial is demonstrated as follows:

[tex](6x + 4) (2x + 11) = (2x + 11 )(6x + 4)[/tex]

The sides of the rectangle are (6x + 4) and (2x + 11). Therefore,

What is the area of a rectangle?

The area of the rectangle is,

[tex]area = lw[/tex]

where,l = length,w = width.

Therefore, by using formula,

[tex]area = (6x + 4)(2x + 11)[/tex]

[tex]area = 12x^{2} + 66x + 8x + 44[/tex]

[tex]area = 12x^{2} + 74x + 44[/tex]

b).The degree of the polynomial is 2nd degree and the classification of the polynomial is trinomial(it has three terms)

c).When something is closed, the output will be the same type of object as the inputs. Therefore, to demonstrate the closure property:

[tex](6x + 4) (2x + 11) = (2x + 11 )(6x + 4)[/tex]

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Related Questions

Find the area of the shape.
Either enter an exact answer in terms of π (pi) or use 3.14, for π (pi) and enter your answer as a decimal.

Answers

Answer:

Step-by-step explanation:

r = 4 units

Given shape is 3/4 part of circle.

Area of the shape = [tex]\dfrac{3}{4}\pi r^{2}[/tex]

                               [tex]= \dfrac{3}{4}*3.14*4*4\\\\\\=3*3.14*4[/tex]

                                = 37.68 square units

What is the meaning of the word enigma as it is used in the following sentence?
The reason that the source of the noise is such an enigma is that no one ever traced the sound when they heard it.

Impact

Mystery, puzzle

Knowledge

Unstoppable force

Will receive brainiest if correct√

Answers

Answer:

In this context, the word "enigma" means mystery.

Step-by-step explanation:

Answer:

Mystery, puzzle

Context clue: "No one ever traced the sound when they heard it." + "The reason that the source of the noise is such an" provide context clues that this may be a mystery or some sort of puzzling puzzle.

1. Determine if the lengths 9 cm, 13 cm, and 23 cm can form a triangle.
a. What are the two shortest side lengths?
acmt 15-24
b. Find the sum of the two shortest side lengths.
c. What is the longest side length?
d. Is the sum of the two shortest side lengths more than the length of the longest side?
e. Can the lengths 9 cm, 15 cm, and 23 cm form a triangle?
f. Fill in the blank so the three lengths will NOT form a triangle. 9 cm, 15 cm,
ст
2. Describe how to determine if three lengths form a triangle.

Answers

a tell me out of 9 13 23
What is the smallest number or the number closest to 0

x- 3=8 solve each equation ​

Answers

Answer:

x=11

Step-by-step explanation:

you need to get x by itself so just add it to the other side and you get x=11

Answer:

x =11

Step-by-step explanation:

x - 3 = 8

To solve the equation, we have to isolate 'x'.

To isolate 'x',  we have to add 3 to both sides.

x - 3 + 3 = 8 + 3

x = 11

Ray has a backyard in the shape of a square with a semicircle on top. The square part of the yard has sides that are 20 feet long. How many square feet is Ray's
backyard?

Answers

Answer:

400 feet^3 hope this helped!

Can I please help me with this question

Answers

Answer: 10n^2+n+9‎‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

7) Alicia has a board game that is 18 inches wide and 18 inches long.
What is the area of the board game?

Answers

Answer:

324 inches

Step-by-step explanation:

18 x 18 or 18² is 324

Answer:

324 square inches

Step-by-step explanation:

just multiply the length times the width and ABRACADABRA!!!!!!! theres your answer

Look at the image. What is the answer? Will give brainiest!

Answers

Answer:

105

Step-by-step explanation:

L*W*H

7*3*5 = 105

Answer
105

Step by step problem (L • W •H)
7•3•5





someone help!!! 18 pts :((

Answers

A) 143m

- - - - - - - - - - - - - - - - - - - - - - - - - - -

Here's the Surface Area formula I use ⇣

- - - - - - - - - - - - - - - - - - - - - - - - - - -

Surface Area = length x width + length x height + height x width

- - - - - - - - - - - - - - - - - - - - - - - - - - -

So, let's use it...

9m x 7m = 63m

9m x 5m = 45m

5m x 7m = 35m

- - - - - - - - - - - - - - - - - - - - - - - - - - -

63m + 45m + 35m = 143m

- - - - - - - - - - - - - - - - - - - - - - - - - - -

Have a great day! :)

~pinetree

Answer:

286

Step-by-step explanation:

Formula 2 x (height x depth + height x width + depth x width)
2 x (5 x 7 + 5 x 9 + 7 x 7) = 286

pls help and the a b c thing there all the questions

Answers

Answer:

A = 3,000 Prarie dogsB = 18,000C = 6 pounds


Identify the polygon with vertices H(-6, -2), A (-10,4), T(-6,6), and C(-2,4) and then find the perimeter
and area of the polygon.


Answers

Answer:

kite; P=45–√+413−−√ units; A=32 units2

Step-by-step explanation:

Find the length of each side using the Distance Formula.

Find the length of side HA.

HA=(−10−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−−√

=(−4)2+(6)2−−−−−−−−−−√

=16+36−−−−−−√

=52−−√=213−−√

Find the length of side AT.

AT=(−6−(−10))2+(6−4)2−−−−−−−−−−−−−−−−−−−−√

=(4)2+(2)2−−−−−−−−−√

=16+4−−−−−√

=20−−√=25–√

Find the length of side TC.

TC=(−2−(−6))2+(4−6)2−−−−−−−−−−−−−−−−−−−√

=(4)2+(−2)2−−−−−−−−−−√

=16+4−−−−−√

=20−−√=25–√

Find the length of side HC.

HC=(−2−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−√

=(4)2+(6)2−−−−−−−−−√

=16+36−−−−−−√

=52−−√=213−−√

Therefore, HA=HC=213−−√ and AT=TC=25–√.

Since there are two pairs of congruent consecutive sides, HATC is a kite by definition.

Find the perimeter of the kite as the sum of the four sides.

P=213−−√+25–√+25–√+213−−√=45–√+413−−√ units

To find the area of the kite, first find the lengths of the diagonals AC and TH using the Diatance Formula.

The figure shows the same quadrilateral H A T C as in the beginning of the task. Diagonal A C is perpendicular to diagonal T H.

Find the length of diagonal AC.

AC=(−2−(−10))2+(4−4)2−−−−−−−−−−−−−−−−−−−−√

=(8)2+(0)2−−−−−−−−−√

=64−−√=8

Find the legth of diagonal TH.

TH=(−6−(−6))2+(−2−6)2−−−−−−−−−−−−−−−−−−−−−√

=(0)2+(−8)2−−−−−−−−−−√

=64−−√=8

Find the area of the kite using the formula for the area of a kite, A=12d1d2.

Substitute 8 for d1 and 8 for d2.

A=12(8)(8)=32 units2

Therefore, the perimeter of the kite is 45–√+413−−√ units and the area is 32 units2.

Janet has money invested in two different accounts. The function f(x) represents the amount of money in an account after x years of interest compounded monthly, while the function g(x) represents the amount of money in an account after x years of simple interest. x 1 2 3 4 f(x) 1,576.74 1,657.41 1,742.21 1,831.34 x 1 2 3 4 g(x) 1,575 1,650 1,725 1,800 Complete the table to show the difference in the value of the accounts for each year. x 1 2 3 4 (f – g)(x)

Answers

Considering the amounts in each table, the difference function is given as follows:

x|          1       2     3         4

(f - g)(x)|1.74 7.41  17.21   31.34

What is the difference function?

At each value of x, the difference function (f - g)(x) is given by f(x) - g(x).

Hence, from the table given:

(f - g)(1) = f(1) - g(1) = 1,576.74 - 1,575 = 1.74.

(f - g)(2) = f(2) - g(2) = 1,657.41 - 1,650 = 7.41.

(f - g)(3) = f(3) - g(3) = 1,742.21 - 1,725 = 17.21.

(f - g)(4) = f(4) - g(4) = 1,831.34 - 1,800 = 31.34.

More can be learned about functions at https://brainly.com/question/25537936

first class airplanes has 40 pilots for every 15 aircrafts if they employ 250 pilots how many aircrafts does first class airplanes own

Answers

93.75 aircrafts, 94 if you have to simplify.

Decide which of the following is a reasonable answer for 3/7 x 8

Answers

Answer:

the answer is 3 3/7 or 24/7

Solve the equation for x.

32(x − 8) = 14x + 3

Answers

x = 3 13/18. 3 13/18

The solution is 14.38

The value of x from the equation 32 (x − 8) = 14x + 3 is x = ( 14 7/18 )

What is an 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.

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 data ,

Let the equation be represented as A

Now , the value of A is

32 (x − 8) = 14x + 3   be equation (1)

Now , on simplifying the equation , we get

32 ( x ) - 32 ( 8 ) = 14x + 3

32x - 256 = 14x + 3

Adding 256 on both sides of the equation , we get

32x = 14x + 259

Subtracting 14x on both sides of the equation , we get

18x = 259

Divide by 18 on both sides of the equation , we get

x = 259/18

The value of x = 14.38

Therefore , the value of x = 14.38 or 14 7/18

Hence , The value of x from the equation is x = ( 14 7/18 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Hellllpp pleaseee !!!

Answers

C

Reason:

Using y = mx + b

The graph starts at 3, which is why the y-intercept (b) is 3.

If you count the rise/run, it comes as 6/1. Simplified, the slope is 6. Which is where m comes in.

Put those in the equation and you get:
y = 6x + 3.

Find both x and y. Leave answers in simplified radical from. (Step by step)

Answers

[tex]\\ \rm\rightarrowtail sin45=\dfrac{x}{12}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{\sqrt{2}}=\dfrac{x}{12}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{12}{\sqrt{2}}[/tex]

[tex]\\ \rm\rightarrowtail x=6\sqrt{2}ft[/tex]

Now

[tex]\\ \rm\rightarrowtail tan60=\dfrac{y}{6\sqrt{2}}[/tex]

[tex]\\ \rm\rightarrowtail y=6\sqrt{6}[/tex]

x2 - 12x + 32 = (x - 8)

Answers

Answer:
x=40/11 or 3 7/11

Answer:

x = 3.6

Step-by-step explanation:

=> x2 - 12x + 32 = (x - 8)

=> 2x - 12x + 32 = (x - 8)

=> 2x - 12x + 32 = x - 8

=> 2x - 12x - x = -8 -32

=> -10x - x= -40

=> -11x = -40

=> (-11x)/-11 = (-40)/-11

=> x = 3.636363636363636

=> x = 3.6

what is the answer to g(-3) = (-3) squared + 5 (-3)

Answers

Answer:

The answer is -3g=(-6)

What equation is equivalent to 4x+1/2+2x+(-3)

Answers

Answer:

6x-5/2

Step-by-step explanation:

4x+1/2+2x+(-3)

4x+2x+1/2-3

6x+1/2-3

6x+1/2-6/2

6x-5/2

30 points!!!!! Read the picture please

Answers

Answer:

I think it's 29

Step-by-step explanation:

if I'm wrong let me know and I'll delete my answer

5 less than a number is twice the sum of that number and 9

Answers

Answer:

let the number be " x "

[tex]\bold{x - 5 = 2(x + 9)} \\\bold{ x - 5 = 2x + 18 } [/tex]

gathering the like terms together , we get

[tex]\bold{2x - x = - 5 - 18} \\\bold{ x = - 23}[/tex]

hope helpful~

Answer:

The answer is going to be 7 or X=7. Here is how that conclusion came to be. Five less than twice a number is 9; here is the mathematical sentence we created to represent the statement:

2X-5=9 now lets work it.

2X-5+5=9+5

2X=14 , lets divide boyh sides of the equation by 2.

2X/2=14/2

X=7 Now lets prove this number represents X.

2(7)-5=9

14–5=9

9=9

I HOPE THIS HELPED YOU.

What are some examples of specific values carried on through generations?

Pass down expensive jewelry.
Go on costly family vacations.
Participate in special mealtimes and celebrations.
Attend the same university as family members.

Answers

Answer:

20+(56)-18=

Step-by-step explanation:

some specific values are carried on 15 to 60 numbers

Which is false? Financial math

Answers

B is the correct answer

if (am*an)/ap=ax then express in terms of m, n ,p


with explanation ​

Answers

Answer:

x = m*n / p

Step-by-step explanation:

am * an / ap = ax

=> x = m*n / p

A city has a population of 210,000 people. Suppose that each year the population grows by 4.25%. What will the population be after
13 years?
Use the calculator provided and round your answer to the nearest whole number

Answers

Answer:

Approximately 494,314 people

This is an exponential growth question, specifically population growth. We will use the following equation to help us solve this situation:

P(t) = a(1+r)t

P(t) = total population (??)

a = initial population = 260,000

r = growth factor (the percent as a decimal) = 0.055

1 + r = 1 + 0.055 = 1.055

t = time in years = 12

So, we can substitute all our information and solve:

P(12) = 260,000(1.055)12 = 494,313.95

Rounding to the nearest whole person, 494,314 people in 12 years.

Hope it helps!!!!!!!!!Brainliest pls!!!!!!!!

Evaluate: n-1 510,5 5 () = [?] Round to the nearest hundredth. Enter

for my friend please thanks

Answers

Answer:

151100 because hundred contain two zeros

What is the value of the expression?
(12 1/3 + 5 1/3) – (7 4/8 -7 1/6)
Enter your answer in the box as a mixed number
HURRRYYY (no links)

Answers

17 1/3 bc the first parathenses is 17 2/3 and the second is 1/3

write the factored equation of the following 6th degree polynomial with intercept at (0, 576)

Answers

Check the picture below on the left-hand-side.

we know the degree of the polynomial will be 6, so the exponents of its factors must add up to 6.

now, we know that at -4 and -1 it has an odd multiplicity, so the exponent of that factor could be either 3 or 1 hmmm  so which is it?

well, when the graph cross the axis straight through, it'd be a multiplicity of 1, when it leans a bit on the axis, like it does on -4, the multiplicity will be larger than 1, so then

[tex]\begin{cases} x=-4\implies &x+4=0\\ x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies a\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \stackrel{\textit{we also know that}}{x=0\qquad y=576}\implies a(0+4)^3(0+1)(0-3)^2=576\implies a(64)(1)(9)=576 \\\\\\ 576a=576\implies a=\cfrac{576}{576}\implies a=1~\hfill \begin{array}{llll} 1\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \boxed{(x+4)^3(x+1)^1(x-3)^2=y} \end{array}[/tex]

Check the picture below on the right-hand-side

A scale drawing of a park is 30 inches long and 24 inches wide. On the drawing, 1 inch is equal to 250 feet What are the actual length and width of the park? Enter the answer in each box.

Answers

1 inch equals 250 feet.

Multiply the inches on the map by 250 to get total feet.


30 x 250 = 7,500 feet

24 x 250 = 6,000 feet


The park is 7,500 feet long by 6,000 feet wide

The scale factor of the drawing is 1 inch equal to 250 feet. Then the actual length and width are 7500 feet and 600 feet.

What is the scale factor?

The scale factor means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

A scale drawing of a park is 30 inches long and 24 inches wide. On the drawing, 1 inch is equal to 250 feet. Then the actual dimension will be

Length = 30 × 250

Length = 7500 ft

Width = 24 × 250

Width = 6000 ft

More about the scale factor link is given below.

https://brainly.com/question/2856466

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Another term for a 529 plan is a Why do you think it might be a bad idea to throw an aerosol can into a fire?. Being like everyone else is important to most teenagers, no matter where they come from.Do you agree or disagree with this and why or why not PLEASE HELP I WILL GIVE BRAINRLYIn the Activity portion of the Speaking and Listening Skill for this lesson, you will determine the point of view of Equality 7-2521 from the audio adaptation of Anthem, Chapter 12.the pictures is chapter 12, please helpDirections:In the box below, write your explanation of Equality 7-2521s point of view in Anthem, Chapter 12. Be sure to includea statement of Equality 7-2521s point of viewa description of the details that support Equality 7-2521s point of viewan explanation of what Equality 7-2521 has learned from his experience 2500 divided by 0.05? Which function is a quadratic function? p(x) = 2x(x2 6) 1 m(x) = 4(x 3) 2 t(x) = 8x2(x2 6) 1 h(x) = 3x(x 2) 4. True or false if a quadrilateral is a rhombus then it is a parallelogram How old am I if 300 reduced by 4 times my age is 92? hello humans ~Living organisms which are invisible to the niked eye are called _________ .ParticlesMoleculesMicroorganismsMacroorganisms What does a good SOW include? a mission statement with summarized sections.a mission statement with detailed sectionsa broad statement with summarized sectionsa broad statement with detailed sections you have been awarded a scholarship by a local company. write a speech you would deliver at the presentation ceremony stating the benefits of the scholarship helppppppp reallyyyyyyyyyyy Read the following passage:The year is 2186. In an effort to eliminate discriminationand competition, humans have been geneticallyengineered to begin life as clones. The single globalgovernment provides the same education and health careto all citizens. Every home is exactly the same, everyonereceives the same salary, and every family is the samesize. Outliers are "removed" from society in order to ensureuniformity.How would the author best resolve this situation to create a feeling ofdespair?A. The government dides to cut everyone's wages to a lower butequal amountB. The narrator finds that a pocket of outliers are living secretlyoutside the detection of government.C. A character who attempts to enlighten others as to society'sproblems is "removed" by the government.D. Scientists find that they can alter the genetics of clones to makethem more compliant. 52Which function is linear? Select all that apply.. = = 4x+ 2B.y= 62 + 8cy= 2x + 8D.y = x +1 2. What is the total surface area of the figure below 5.2 cm 6 cm 9 cm 6 cm 6 cm The fiber in OTC diet aids contains a chemical that suppresses appetite. has been clinically demonstrated to facilitate weight loss. contributes little to the recommended daily intake of fiber. serves as a substitute for whole grains, fruits, and vegetables. forgot how to do it who is biggest artist in the world What are these two clues referring to?Leonberger Rafeiro Do Alentejo Which of the following locations was a departure point for slaves during the slave trade? a the Sahara b Guinea-Bissau c Gore Island d Sierra Leone\