1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ludmilkaskok [199]
3 years ago
5

A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expression that represents the area of t

he 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)
Mathematics
2 answers:
valentinak56 [21]3 years ago
7 0

Answer:

Step-by-step explanation:

Part A:

A=lw

A=(6x + 4)*(2x + 11)

multiply it out:

A=6x*2x+6x*11+4*2x+4*11

A=12x^(2)+66x+8x+44

add like terms

A=12x^(2)+<u>66x+8x</u>+44

A=12x^(2)+(66+8)x+44

A=12x^(2)+74x+44

the expression used to find area is 12x^(2)+74x+44

Part B:

this is:

a second degree trinomial

since its leading coefficient (highest degree value of the expression) is 2

and

since it has three monomials (terms that are separated by + or - signs):

12x^(2)+<u><em>74x</em></u>+44

Part C:

(not sure about this one)

all area is positive or 0 (no area), so lets find the values of x that are true:

lets find the zeros

(6x + 4)*(2x + 11)=0

6x+4=0

6x=-4

x=-4/6

x=-2/3

2x+11=0

2x=-11

x=-11/2

6*(-11/2)+4

3*(-11)+4

-33+4

-29

2*(-2/3)+11

-4/3+33/3

29/3

6*(-2/3) + 4

2*(-2)+4

-4+4

0

x is greater than (-2/3)

Thus, any real number greater than -2/3 makes

(6x + 4)*(2x + 11) equals the expression:

12x^(2)+74x+44, where x is a real number greater than -2/3

if lets say x= 1, a counting number then:

(6*1 + 4)*(2*1 + 11)=12*1^(2)+74*1+44

(6+4)*(2+11)=12*1+74+44

10*13=12+118

130=130

130 and 1 are both counting numbers, proving the closure property of polynomials

Natali5045456 [20]3 years ago
5 0

Answer:

Step-by-step explanation:

A:

(6x + 4)*(2x + 11)

12x^2+8x+66x+44

12x^2+74x+44

B:

a second degree polynomial

C:

The closure property for polynomials can be demonstrated here if you put in some # like a whole number and get an answer that is whole too:

(6x + 4)*(2x + 11)=12x^2+74x+44

if x=0

(6*0 + 4)*(2*0 + 11)=12*0^2+74*0+44

4*11=12*0+0+44

44=44

both 0 and 44 are whole numbers, hence proving the closure property

You might be interested in
Write the raito as a fraction simplest from 12 boys and 15 girls​
kiruha [24]

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

Here, since we want our ratio in simplest form,

I would use a fraction bar.

Now, the problem asks us to compare

the number of boys to the number of girls.

We know that there are 12 boys

and we know that there are 15 girls.

So our ratio is 12/15.

However, this can be reduced to 4/5.

3 0
3 years ago
This number was rounded to the nearest hundred thousand. List the possible digits that could go in the ten thousands place to ma
aleksklad [387]
The possible digits could be 0, 1, 2, 3, or 4 as they would cause the entire number to round down instead of up.
6 0
3 years ago
Read 2 more answers
Will mark brainliest please help me Explain step by step how to find the equation of a line that goes through the points ( 7, 2
vagabundo [1.1K]

Answer:

Step-by-step explanation:

Put the ordered pairs into the slope formula x=y2-y1/x2-x1 then you will get your slope of the line. once you have your slope pick an ordered pair and put it in point slope y-y1=m(x-x1) distribute and you will get your answer.

5 0
3 years ago
Read 2 more answers
A jar contains jelly beans, and there are 87 pink, 74 purple, 35 white, 70 black, 25 orange, and 47 green. if two jelly beans ar
balu736 [363]

\frac{2}{338}
7 0
3 years ago
What is the independent variable and the dependent variable and the equation of this
777dan777 [17]
H independent

e dependent
8 0
3 years ago
Read 2 more answers
Other questions:
  • A number plus 5 more than 3 times the number is 37. Find the number
    5·1 answer
  • What is 5√ ? Place a dot on the number line at the best approximation.
    9·2 answers
  • Solve the system using substitution<br> 8x+9y=15<br> 5x-2y=17
    8·1 answer
  • 9. What is the system of equations that describes the following graph?
    5·1 answer
  • What is the slope of the line in the graph?
    8·2 answers
  • I need help plz hurry fast!!
    6·2 answers
  • Express the confidence interval 0.444
    5·2 answers
  • Which function has the same y-intercept as the function?<br>​
    15·1 answer
  • What are two different ways 2/3x=10 could be solved for x
    6·1 answer
  • a store buys jackets for $49.99 . the markup on the jacket is $18.49.during the sales,the jacketsare sold for 57.99. what is the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!