The length of a
rectangle is represented by
4a + 3b, and its width is
represented by 7a – 2b. Write
a polynomial for the perimeter
of the rectangle.

Answers

Answer 1

Solution:

Given:

Length of rectangle = 4a + 3bWidth of rectangle = 7a - 2bPerimeter of rectangle = 2W + 2L

Let's simplify the perimeter of the rectangle by using the expression for the perimeter.

=> 2W + 2L=> 2(7a - 2b) + 2(4a + 3b)=> 14a - 4b + 8a + 6b=> 22a + 2b

Hence, the polynomial that represents the perimeter of the rectangle is 22a + 2b.


Related Questions

What is division. Please explain it very well

Answers

Answer:

Division is the separation of something (a number) into equal parts.

Step-by-step explanation:

Division is the separation of something (a number) into equal parts. In other words, it's the opposite of multiplication, which is the repeated addition of something (a number).

Probably the best way to explain division is with an example. Say I want to compute the following:

10 / 2

"10" means I have 10, and the "/ 2 means" that I want to seperate 10 into equal groups of 2. To do that, I will count how many groups of 2 I can have in 10. 2, 4, 6, 8, and 10 make 5 equal groups of 2. Therefore,

10 / 2 = 5.

Division can also result in remainders, or leftovers after division. This is because somethimes, numbers don't divide evenly. Take for instance this example:

10 / 3

I know that 3 isn't a multiple of 10, but I can still attempt to divide it. 3, 6, 9, three groups ... wait ..., I have only 1 left. What do I do with this 1? Well, it is a remainder now because it is left over:

10 / 3 = 3 and a remainder of 1 ( or 3 r1).

I'm sorry if this is a bad explanation, but I am not a big fan of using visuals online when teaching math. Yet, I have done my best to explain what division is (in abstract form no less), and I hope you can figure it out if you haven't yet in the future.

what is 8x =72 please help me know tank you

Answers

Answer:

x = 9

Step-by-step explanation:

this is because 8 times 9 = 72

Question shown in image. Worth 100 points

Answers

Answer:

75 degrees

Step-by-step explanation:

The corresponding angle is 75 degrees

Answer:

75 Degrees

Step-by-step explanation:

They are corresponding which would be 75 Degrees

The graph of y = x2 – 4 is shown... What are the solutions to x2 – 4 = 0?

Answers

Solition for [tex]x^2-4=0[/tex] is [tex]\pm2[/tex]

Ans: x₁=-2; x₂=2

Plzzzzzz help meeeeee

Answers

Answer:

C

Step-by-step explanation:

The picture


Find the area and perimeter.
A^2 b 3a^2 a^2 4b

Answers

Answer: Area - 17a^2 b, Perimeter - 10a^2 + 10 b

Step-by-step explanation:

To find the area, we can divide the figure into 3 separate rectangles.

Then, we find the area of each separate rectangle and add them together.

Area = a^2b + a^2b + 15a^2b

Area = 17a^2 b

The perimeter is the sum of all sides

Perimeter = a^2 + b + 3a^2 + b + a^2 + 4b + 5a^2 + 4b

Perimeter = 10a^2 + 10 b

The cost per minute of a conference phone call, originally $2. 80, increased by 20%. What is the new price? $3. 00 $3. 20 $3. 26 $3. 36.

Answers

Answer:

3.36

Step-by-step explanation:

.20 x 2.80 = .56

2.80 + .56 = 3.36

A bridge has 45, -45, -90 right trangular supports. If the hypotenuse of each support is 16 ft, find the length of each leg of a support. PLS HELP ASAP

Answers

Answer:

16, 11.314, 11.314

Step-by-step explanation:

You can get this answer because we know that a 45, 45, 90 triangles formula (aka The Pythagorean Theorem) is:

a^2+b^2=c^2

Hope this helps :D

If I multiply my age in six years' time by three, the resulting age is my mother's age now. If my
mother is currently 48 years old, how old am I?

Answers

Answer:

I think 30

Step-by-step explanation:

I don't know I could be wrong

Answer:

10

Step-by-step explanation:

let your current age be x.

mother's age=48

3(x+6)=48

3x+18=48

3x=30

x=10

Oscar bought a circular cover for his backyard spa with an area of 48 square feet. How can Oscar best determine the radius of the spa cover? A Divide 48 by , then take the square root of the quotient. B Take the square root of 48, then divide the quotient by T. C Multiply 48 byt, then multiply the product by itself. D Take the square root of 48.​

Answers

Answer:

it is very hard questions but i give answer

10. If R is the midpoint of QS, find QS.

Answers

Statement:

R is the midpoint of QS.

To find out:

The measure of QS.

Solution:

QR + RS = QSSince R is the midpoint of QS, then QR = RS.QR = 2x + 16, RS = 5x - 17.Therefore, 2x + 16 = 5x - 17or, 2x - 5x = -17 - 16or, -3x = -33or, x = -33 ÷ -3or, x = 11Therefore, QR = 2(11) + 16= 22 + 16 = 38So, QS = 2QR = 2 × 38= 76

Answer:

QS is 76.

Hope you could understand.

If you have any query, feel free to ask.

10. 8 fewer than the sum of 14 and a number

Answers

Answer:

6 +x

Step-by-step explanation:

Let the number = x

Sum of 14 and a number = 14 +x

8 fewer than (14 + x )= 14 + x - 8 = 6 +x

Answer: 14 + x - 8 (can also be 6 + x)

Step-by-step explanation:

8 fewer means we're subtracting 8, which is -8

Sum of 14 and a number would be 14 + x

All of this combined would be 14 + x - 8 but if you want to simplify it, you can subtract 8 from 14 and get 6. This would be 6 + x.

what percent is 700 paise of 7 rupees​

Answers

To find :-

What percent is 700 paise of 7 rupees .

Solution :-

As we know that,

→ ₹1 = 100 p

So ,

→ 700p = ₹ 700/100

700p = 7

Now let's calculate % , as ;

→ 700p / ₹7 * 100 %

→ ₹7/₹7 *100 %

→ 1 *100%

100%

Hence 700p is 100% of 7 .

I hope this helps.

Step-by-step explanation:

We know that ,

1rupees = 100 paise

so , 7 rupees = 700 paise

We have to find the percentage of 700 paise of 7 rupees

Calculating Percentage ,

700paise/7rupees×100

7/7 × 100%

= 100%

Write the equation of a line parallel to the line y = 3x+5 and passes through the point (-7, 2)

Answers

Answer:

y=3x+23

Step-by-step explanation:

Parallel lines have the same slope, so we basically keep the same equation, but we find the new y-intercept so it accounts for (-7,2):

y = 3x + b

2 = 3(-7) + b

2 = -21 + b

23 = b

Therefore, your equation would be y=3x+23

I need help! really help!​

Answers

Answer:

B and I

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

etc.

12 x 3 = 36

Please help me!!! Bsbebabnababwbabs

Answers

Step-by-step explanation:

since the other angles are equal to each other, both triangles, TQR and TSR, are identical. they are just oriented differently.

but that also means that both angles, Q and S, are identical too.

so,

2x² = 3x² - 64

64 = x²

x = 8

and therefore, both angles are 128°.

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS

Answers

Answer:

2.

Step-by-step explanation:

If it was 14, 24.5, or 28, that side of the trapezoid would've been much longer.

Answer:

I believe your answer would be 2

Step-by-step explanation:

Using the same method as I explained in your previous triangle question I assumed the bigger quadrilateral is an expanded version of the smaller one.

Step 1:

Divide 14 by 4

14/4=3.5

Step 2:

Divide 7 by your 3.5

7/3.5=2

This means that the side of x should be 2 because each side is squished by a factor of 3.5 and expanded by this factor to get to the big shape.

Hope this helps! :)

someone smart please help and get it right offering 100 points

Answers

Answer:

2.8

Step-by-step explanation:

By the angle bisector theorem, [tex]\frac{AC}{AB}=\frac{CD}{DB}.[/tex] Plugging in the values from the diagram gives:

[tex]\frac{5.8}{5.5}=\frac{3}{?}.[/tex]

Solving gives

[tex]?=(3\cdot 5.5)/5.8\\\approx 2.8[/tex]

Triangle QRS ~ Triange TUV. solve for x and y

Answers

Answer:

x = 20, y = 3

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{TU}{QR}[/tex] = [tex]\frac{UV}{RS}[/tex] ( substitute values )

[tex]\frac{x}{4}[/tex] = [tex]\frac{30}{6}[/tex] = 5 ( multiply both sides by 4 )

x = 20

and

[tex]\frac{QS}{TV}[/tex] = [tex]\frac{RS}{UV}[/tex] ( substitute values )

[tex]\frac{y}{15}[/tex] = [tex]\frac{6}{30}[/tex] ( cross- multiply )

30y = 90 ( divide both sides by 30 )

y = 3

A box of bananas was bought for $50 and was sold for a 15% loss. What is the selling price of the bananas?

Answers

Answer:

$42.50

Step-by-step explanation:

when you have a percent loss you can take that number and subtracted from 100 and get your percentage

you multiply the amount by 85 percent

so this means it is 50 titimes 0.85

this gives me $42.5


The base of an isosceles triangle is 30” and the altitude to that base is 8”. Find the length of one of
the two equal sides of the triangle.

please help!

Answers

Answer:

17"

Step-by-step explanation:

Isosceles means there are two equal sides in this triangle.

So the height not only is perpendicular to the base, but also cuts the base in half.

Each half is 15 inches. (30÷2=15) See image.

These half triangles formed by the height, are right triangles. You can use Pythagorean theorem or if you're familiar with the pythagorean triple 8, 15, 17, you will find the length of the side is 17 inches. See image.

You buy a bicycle helmet for $22.26, which includes 6% sales tax. The helmet is discounted 30% off the selling price. What is the original price?

Answers

Answer:

The original price of the helmet is 30$

Step-by-step explanation:

30$ for the helmet before discounts and sales prices. you have to subtract the 6% sales tax, which is found by dividing 22.26 by 0.06. after subtraction, you must add the discount back, leading you to divide 22.26 by 0.30. then you have to add the answer to that back to the new number.

Benita buys 2 shirts for the same price s the taxe sale rate is 6.5%​

Answers

Answer:

2s + 0.13s

2.13s

Step-by-step explanation:

One shirt costs s.

2 shirts cost 2s.

The tax rate is 6.5%, so the tax on 2s is 0.065 × 2s = 0.13s

The total cost with tax is 2s + 0.13s

You can also find the total cost by realizing that since the tax is 6.5%, the total price with tax is 1.065 times the cost, so you can write it as 1.065 × 2s = 2.13s

Answer:

2s + 0.13s

2.13s

Answer:

2.13s

and

2s+0.13s

Step-by-step explanation:

Because 2 shirts is s and 6.5 per cent would turn into 6.5 because of 2 times 1.065 is 0.13 which is the answer for part 2

Help ????????????????????????

Answers

Answer:

-2.5

Step-by-step explanation:

It is the answer of the first question.

Just need help with the problems that have X’s next to them.

Answers

Answer:

Here's the ones I got so far

Step-by-step explanation:

38% of 250 = 95

7.5(3 * 7 + 4) = 187.5... x = 7

28 + x > 42... X can be 67, 96, 54

380 / 5 = 76 each hour

3 gallons of gas for 1 hour, 3 x 15 hours = 45 gallons

COP = 0.75, havent found rule, if i do ill comment

shaded triangle = 40..... 8 × 10 / 2= 40... explanation: a triangle (right in this case) would be divided by 2 because its half of a square / rectangle.

What equivalent ratios goes with 40:28

Answers

Answer:

The answer should be 10:7.

Hey there!

40:28

= 40 ÷ 2 : 28 ÷ 2

= 20 : 14

= 20 ÷ 2 : 14 ÷ 2

= 10 : 7


Therefore, your answer is: 10:7


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

help for brainiest asap pleaseeeeee

Answers

Answer:

angle A = 45°

angle B = 110°

angle C = 25°

Answer:

i hope this will help uh.

Please help I attached a photo.

Answers

Answer:

55w + 145

Step-by-step explanation:

Total = all accounts, so you have to add 10w to 45w, and 120 to 25

10w + 45w = 55w

120 + 25 = 145

So the answer is 55w + 145

Pls help thx
I WILL PICK THE BEST ONE

Answers

Answer:

a) 0.11

b) 60

Step-by-step explanation:

a)

Probability that a 3 will be rolled = frequency of 3 / total frequency

frequency of 3 = 11

total frequency = 100; 12 + 35 + 11 + 23 + 7 + 12 = 100

= 11/100

= 0.11

Answer: 0.11

b)

Probability of getting 6 = 12/100 = 0.12

Now, the dice is rolled over 500 times:

total times = 0.12 × 500

= 60 times

Answer: 60

**i would appreciate it if someone helped! ** Here is a number pyramid puzzle.
Fill in each blank with a number so that every number
is the product of the two numbers directly below it.

Answers

Answer:

*

Step-by-step explanation:

                   - 96

                -8         12

          - 4         2          6

     4         -1          -2       -3

16       .25     -4        .5           -6

Each circle along with the number to be filled in it is mentioned below.

What is a Number Sequence?

Number sequence is a progression or an ordered list of numbers governed by a pattern or rule.

Given is a pyramid puzzle.

The rule to be followed in order to complete this pyramid is as follows "Every number is the product of the two numbers directly below it".

Fill Circle [1] with the number 72.

Fill Circle [2] with the number 6.

Fill Circle [3] with the number 3.

Fill Circle [4] with the number 6.

Fill Circle [5] with the number 0.75.

Fill Circle [6] with the number -2.

Fill Circle [7] with the number 16.

Fill Circle [8] with the number 3.

Fill Circle [9] with the number -6.

Therefore, each circle along with the number to be filled in it is mentioned above.

To solve more questions on puzzles, visit the link below-

https://brainly.com/question/10346831

#SPJ2

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