Mathematics College

A rectangle has sides measuring (12x - 2) units and (x + 8) units.

Part A: What is the expression that represents the area of the rectangle? Show your work. (5 points)

Part B: What is the expression that represents the perimeter of the rectangle? Show your work. (5 points)

Part C: What are the degree and classification of the expression obtained in Part A? (3 points)

Answers

Answer 1

The area equation is:

A = (12x - 2)*(x + 8)

Which is a polynomial of degree 2, and the perimeter is:

P = 26x + 12

How to write the area of the rectangle?

Remember that for a rectangle of length L and width W, the area is written as:

A = L*W

Here we know that:

L = (12x - 2)

W = (x + 8)

Then the equation for the area is:

A = (12x - 2)*(x + 8).

How to write the perimeter?

For a rectangle of length L and width W, the perimeter is:

P = 2*(L + W).

Replacing what we know, we get:

P = 2*(12x - 2 + x + 8) = 2*(13x + 6) = 26x + 12

What are the degree and classification of the area equation?

The area equation is:

A = (12x - 2)*(x + 8).

Notice that this is a polynomial that is made of the product of two polynomials of degree 1, so this is a polynomial of degree 2.

If you want to learn more about polynomials:

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Related Questions

For a scavenger hunt, Jim's mom distributed a bag of 520 jelly beans evenly into 20 plastic containers and hid them around theyard. If, after the hunt, Jim has a total of 182 jelly beans, then how many of the plastic containers did he find?
A. 338
B. 140
C. 9
D. 7

Answers

D. 7
Explanation:
First divide 520 and 20 to get the answer of 26.
Then, divide 182 and 26 to get 7.
I hope this helped!

Please help………………………..

Answers

Answer:

(a) sin⁻¹(√35/14)

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between sides and angles in a right triangle. Here, the given sides AB and AC are the side opposite angle C, and the hypotenuse (opposite right angle B). That means the relevant relation is ...

Sin = Opposite/Hypotenuse

sin(C) = AB/AC

For this problem, substituting values gives ...

sin(C) = (3√5)/(6√7) = (1/2)√(5/7) = (1/2)(√35)/7 = (√35)/14

C = arcsin((√35)/14)

_____

Additional comment

Choice B can be eliminated on the grounds that the fraction is not reduced to lowest terms. Choices C and D are eliminated because they assume a cosine relation is involved. That is, you can choose the correct answer based on SOH CAH TOA without concerning yourself with the details of the radical expression.

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Which point in the coordinate plane represents the location of the ordered pair
(3.75,-2.25)?
K
M

any help?
A : Point M
B : Point N
C : Point L
D : Point K

Answers

Point M

It is at 3.75 and negative 2.25 so it has to be it.

Answer is A -point M
See picture for reference

type in the correct solutions to match each graph.

Answers

Answer:

congruent and parallel those are two of them i dont know the other 2 sorry

Step-by-step explanation:

Subtract.

−1 3/5 − (−2 7/8)

Enter your answer as a simplified fraction by filling in the boxes.

It shouldn't be a mixed number.

Answers

51/40 is the simplest for because the only common factor of them both is 1

Pls, look at the picture for the question.

Answers

B. 9*10^16 (because in question give it)

B. 3*10^9 (because answer to first question is divided by seconds in one year (365*24*60*60).

Answer:

1. 9 * 10^15 meters per years

2. 3*10^8 meters per second

Step-by-step explanation:

Light travels is given 9,... m per year.

They ask how many meter light trravels per years.

They give you the meter per year so you look at the values and move the decimal and see if it can round to the whole number 9.

Looking at the four next to nine can't round so 9,460,000,000,000 becomes 9 * 10^15 m per year.

Converting meters per year to meter per seconds

[tex]\frac{9*10^5meters}{1 year} *\frac{1year}{365 days}*\frac{1 day}{24 hrs} *\frac{1hr }{60 min}*\frac{1min}{60 secs}[/tex]

The answer should be 2.8*10^8 or 3*10^8 meters per second

Gina pays $0.50 ecah time she plays a carnival game. The game is on a spinner with 12 equal sized sections labled 1 through 12. she wins a prize if the pointer lands 3,5 or 7. If gina spends $4 playing the game, predict the number of prizes she can expect to win

Answers

Answer:

Two

Step-by-step explanation:

3,5 or 7 out of possible 12 spins

3 / 12 of the time she will win

$ 4 is 8 spins

8 spins * 3/12 = 2 wins

ANSWER
2 prizes

Step-by-step explanation:

$4 ÷ $0.5 = 8

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

5+7 = 12

3/12

P(win) = 3/12 simplified is 1/4

(1/4) × (8) = 2

Therefore, the answer is two prizes

Somebody’s please help me with this it’s due tomorrow and I don’t have any idea how to do it

Answers

Answer:

1) They will stop 10 times for a break

2) A baker can make 10 cakes

3) Tammy will distrubute 36 bags with 2 1/2 pounds of candy

Step-by-step explanation:

Let me know if you have any questions !

Hope it helps

Please help need to get it done in 10 minutes.Thank you
There are 12 inches in a foot.

Complete the table.
Inches: 12, ___, 60, 108
Feet: 1, 3, ___, ___

Answers

Answer:

Inches: 12, 36, 60, 108

Feet: 1, 3, 5, 9

Step-by-step explanation:

Inches: 12, 36, 60, 108

Feet: 1, 3, 5, 9

3*12 = 36

60/12 = 5

108/12 = 9

Find the distance between points (3,6) and (9,2)

Answers

Answer:

A=(3,6)

B =(9,2)

The distance between AB=√(9-3)^2+(2-6)^2

=3√13

Asking for help on this again because i reallu need it!!

Answers

Answer:

5. 5.8

6. 6

7. 6

Step-by-step explanation:

5. mean - add all values and divide by the number of values

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10 = 75

mean = 75/13 = 5.8

6. median - middle value of values written in ascending order.

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10

median = 6

7. mode - value that occurs most times

mode = 6

Use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)X-5 + 8
You may wish to graph it and its parent function, y = 0.5% on the same axes.
The parent function y = 0.5% is
า
across its domain because its base, b, is such that
DONE
The function, f shifts the parent function 8 units
DONE
The function, f shifts the parent function 5 units
DONE

Answers

Answer:

First box is: decreasing

Second box: 0< b< 1

Third box: Up

Fourth box: Right

Step-by-step explanation:

PLS HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

None of the others are vertical angles

a is supplementary angles

b is supplementary angles

d is alternate interior angles

Given f(a, b) = 3a2 – 2ab + 5b2 , determine (a) f(-2, 3) and (b) f(x+y, x-y)

Answers

Answer:

1) 45

2) 6x^2-4xy+10y^2

Step-by-step explanation:

1) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine (a) f(-2, 3)

Replace a with (-2) and b with (3):

3(-2)^2-2(-2)(3)+5(3)^2

3(4)-2(-6)+5(9) *Took care of exponents and performed some multiplication in the middle term.

12-12+45 *performed more multiplication

0+45 *additive inverses property applied

45 *performed some addition

2) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine f(x+y, x-y)

Replace a with (x+y) and b with (x-x-y):

3(x+y)^2-2(x+y)(x-y)+5(x-y)^2

*Explained binomial squares

3(x^2+2xy+y^2)-2(x+y)(x-y)+5(x^2-2xy+y^2)

*Expand product of the sum of two numbers with the difference of said numbers

3(x^2+2xy+y^2)-2(x^2-y^2)+5(x^2-2xy+y^2)

*Distribute

3x^2+6xy+3y^2-2x^2+2y^2+5x^2-10xy+5y^2)

*Combine like terms

6x^2-4xy+10y^2

The point {1, 2} is reflected over the x-axis. Where is the location of the new
image?
A (-1, -2)
B(1.-2)
C(-1,-2)
D (-1,2)
E(2, -1)

Answers

The answer is (2,-1)

Please help me do this question mathematics genius

Answers

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

How to find the total differential of a multivariate function

In this question we must apply the concept of total differential to determine the change of the variable z in terms of the changes in variables x and y. That is:

[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex] (1)

If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the expression for the change of z is:

[tex]\Delta z = 3\cdot \cos (x^{3}+y^{3})\cdot x^{2}\cdot (0.3)+3\cdot \cos (x^{3}+y^{3})\cdot y^{2}\cdot (0.2)[/tex]

Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

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Please explain thank you

Answers

Answer:

14x15-10x10=110

A=110

Step-by-step explanation:

Answer:

First, we'll need to find the length of each side.

10m + 4m = 14m

10m + 5m = 15m

Now that we know the length of 2 sides, let's call them the "North" and "West". The measure or length of "South" is the same as "North" and the measure or length of "East" is the same as "West".

To find the Area of the WHOLE square, we'll need to multiply both lengths.

14 × 15 = 210m^2

To find the area of the given figure:

1. Find the Area of the 10m of the "North" and the 10m of the "West".

10 × 10 = 100m^2

2. Minus the Area of the product of 10m of the "North" and the 10m of the "West" from the Area of the WHOLE square.

210m^2 - 100m^2 = 110m^2

The area of the given figure is 110m^2.

Hope it helps you! ^^

ABC School has 150 students enrolled who do not speak English. It is also known that 6/7 of the students can recognize all 26 letters. How many students still needs to learn the entire alphabet? Type your answer to the nearest whole number.

Answers

Answer:

about 21 students

Step-by-step explanation:

total students: 150 students enrolled

recognize all letters: 6/7 of the students

To find 1/7 of the students: divided the 150 by 7

150/7 = 21.4285 this is for 1/7th of students

since 1/7th of the students need to learn the alphabet (7/7 - 1/7 = 6/7)

150/7 = 21.4285 this is for 1/7th of students

150/7 x 6 = 128.57 this is for 6/7th of students

150 - 128.57 = 21.4285

5. John is now three times as old as Bill.
In four years, John will be only twice
as old as Bill. Find John's age.
6
A. 4
B.
C.
8
D. 10
E. 12

Answers

Answer:

12 is johns age

Step-by-step explanation:

all you have to do is multiply johns age times 3 then you get your anser

The executive summary component of a business plan is to describe
a where the funds to start and operate your business will come from, when you expect to see
profit, and how much profit you expect to see
b. the size of the market, how your business will fit into the market, and how your business will
stand out from other businesses in the market
c. the 'big picture behind your business, what your business has to offer the consumer, and why
your business will be successful
d. how your business will be organized and what type of management or department structure
your business will have
Please select the best answer from the choices provided
ΟΑ
О В
ОС

Answers

Answer:

Executive summary describes the 'big picture behind your business, what your business has to offer the consumer, and why

Step-by-step explanation:

B is right

A fabric store is having a sale. The price of every item in the store has been reduced by 30%. Which equation shows the
proportional relationship between the regular price, r, of an item and its sale price, s?

Answers

Equation to show the proportional relationship between the regular price, r, of an item and its sale price, s is 10s -7r=0.

What is sale price?

A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time, typically to spur sales during a slow period or to sell off excess inventory.

Let the regular price be r and sale price be 's'

Since price of every item reduced by 30%.

So, sale price will be

[tex]s= r- 30% of r[/tex]% of r

[tex]s= r- \frac{30}{100} *r[/tex]

s= r - 0.3 r

s= 0.7 r

s-0.7r=0

or, 10s -7r=0

Thus, equation shows the proportional relationship between the regular price, r, of an item and its sale price, s :10s -7r=0

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Help me please , you can ignore question number 1 !!!

Answers

Answer:

See below ~

Step-by-step explanation:

Lobster = 3 veg choices x 3 beverages9 outcomes

Chicken and chopsuey = 3 beverages3 outcomes

4 main dishes x 3 veg choices x 4 beverages48 menus

i need help with this

Answers

Did you just do it already ? Reply so i can give you the answer

Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm2. What is the area of the larger region? Explain your reasoning.

Answers

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm², hence:

Area of larger region = 7 * 490 cm² = 3430 cm²

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

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Keep Moving! Read each problem and then, solve
1. What is the probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip?
2. What is the probability that you get an 8 when you are rolling a number cube? 3. From a letter cube (A, B, C, D, E, and F), what is the probability that a B is on top when you roll the cube?
4. Mila and 3 other applicants apply for a job. What is the probability that Mila gets hired?

Answers

The probabilities of cases 1, 2, 3, and 4 will be 1/3, 5/36, 1/6, and 1/4 respectively.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The probability is given as

P = Favorable event / Total event

1. The probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip will be

P = 1/3

2. The probability that you get an 8 when you are rolling a number cube will be

P = 5/36

3. From a letter cube (A, B, C, D, E, and F), Then the probability that a B is on top when you roll the cube will be

P = 1/6

4. Mila and 3 other applicants apply for a job. Then the probability that Mila gets hired will be

P = 1/4

More about the probability link is given below.

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Find F Write your answer in simplest radical form.

Answers

3sqrt3
Side lengths of a 30-60-90 triangle are x xsqrt3 and 2x

Answer:

f= 5.2 or 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Cot(60) = 3/f

0.58 =3/f

0.58f = 3

f= 5.2 or 3[tex]\sqrt{3}[/tex]

Help and show explanation please

Answers

Answer:

This app is very good,it help us do our homework.and we make a good passed.

The scale factor of a model car to the actual car is 300. If the model car is 2in tall, how tall is the actual car?

Answers

Answer:

600 inches or 50 feet

Step-by-step explanation:

Scale factor = model car : actual car = 1 : 300

We have a 2 inch model car.

2 in. : actual = 1 : 300actual = 2 × 300actual = 600 inches or 600/12 = 50 feet

Each of 5 students reported the number of movies they saw in the past year. This is what they reported.
20, 15, 6, 5, 18
Find the mean and median number of movies that the students saw.
If necessary, round your answers to the nearest tenth. Mean: _movies
Median: _movies

Answers

Answer:

Step-by-step explanation:

For the mean you add all the numbers up and divide it by how many numbers there are (hence why it's the meanest!)

For the median you need to arrange the number in order of value/size and fine the middle number

Elena is going to a farmer's market for fresh produce. She has two markets to
choose from and hopes to buy both cherries and asparagus. The table shows
the probability that each type of produce will be available at the markets.
North
South
market
market
Cherries
0.96
0.8
Asparagus
0.5
0.65
Assuming that the availability of cherries and the availability of asparagus are
independent of each other, which market should Elena choose to maximize
her chance of buying both?
O A. South market. There is a 0.77 probability of both cherries and
asparagus being available.
B. North market. There is a 0.77 probability of both cherries and

Answers

Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

How to determine the market to choose?

The table is given as:

North market South market

Cherries 0.96 0.8

Asparagus 0.5 0.65

The probability of buying both produce at both markets is calculated as:

P(North) = 0.96 * 0.5 = 0.48

P(South) = 0.8 * 0.65 = 0.52

0.52 is greater than 0.48

Hence, Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.