The area of a rectangle is (x4 4x3 3x2 – 4x – 4), and the length of the rectangle is (x3 5x2 8x 4). If area = length × width, what is the width of the rectangle?.

Answers

Answer 1

The width of the rectangle, for which area and length provided in polynomial equation form is,

[tex](x^43x^3+8x^2+4x)[/tex]

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of rectangle and (b) is the width of the rectangle

The area of the given rectangle is,

[tex]A=(x^4 +4x^3 +3x^2 - 4x - 4),[/tex]

The length of the given rectangle is,

[tex]L=x^3+ 5x^2 +8x+ 4).[/tex]

As, the area of a rectangle is the product of the length and the width of the rectangle. Let suppose the width of the rectangle is f(x). Therefore,

[tex](x^4 +4x^3 +3x^2 - 4x - 4)=(x^3+ 5x^2 +8x+ 4)\times f(x)[/tex]

Solve it further as,

[tex]f(x)=(x^4 +4x^3 +3x^2 - 4x - 4)-(x^3+ 5x^2 +8x+ 4) \\f(x)=(x^4 +4x^3 +3x^2 - 4x - 4-x^3+ 5x^2 +8x+ 4[/tex]

Separate the like terms with same power of variable as,

[tex]f(x)=x^4 +4x^3-x^3 +3x^2 + 5x^2- 4x +8x- 4 + 4\\f(x)=x^43x^3+8x^2+4x[/tex]

Hence, the width of the rectangle, for which area and length provided in polynomial equation form is,

[tex](x^43x^3+8x^2+4x)[/tex]

Learn more about the area of rectangle here;

https://brainly.com/question/11202023


Related Questions

what is x/6=25 please help me know what it is :)

Answers

Answer:

150

Step-by-step explanation:

We multiply both sides by 6 to get x as the subject:
x/6×6=25×6

x=25×6

x=150

If we substitute this into the original question we get:
x/6=25

150/6=25

Convert: There are 1,000 meters in a kilometer, and 3,600 seconds in an hour. You can convert units of meters per second (m/s) into kilometers per hour (km/h) by multiplying by 3,600 and dividing by 1,000. (Hint: That is the same thing as multiplying by 3.6.)

A. What is the speed of a cheetah in kilometers per hour?



B. What is the speed of a person in kilometers per hour? ​

Answers

The required speed in km/hr are 108km/hr and 25.704km/hr

How to calculate the distance and speed of an object

Given the following conversion rate

1 km = 1000m1 hr = 3600seconds

Given that the speed of cheetah is 30meters per second. Converting to m/s will give:

30m/s = [tex]\frac{30m}{1s} \times \frac{1km}{1000m} \times \frac{3600s}{1hr} \\[/tex]

30m/s = 30 * 3.6

30m/s = 108km/hr

For the person with speed of 7.14m/s, the value in km/hr is expresssed as:

7.14m/s = 7.14 * 3.6

7.14m/s = 25.704km/hr

Hence the required speed in km/hr are 108km/hr and 25.704km/hr

Learn more on speed conversion here: https://brainly.com/question/2681210

Which half hour was Cameron riding the fastest ?
Answer Choices:
1
2
5

Answers

Answer: 1 (this is because the distance was the furthest in that one hour)

how to do this equation x-2y=12 and y=3x+14

Answers

Answer:

(-8,-10)

Step-by-step explanation:

we have the two equations x-2y=12 and y=3x+14.

I'm going to assume this is a system of equations and we are looking for the solution.

we can use the substitution method as y is "defined".

x-2y= 12

substitute y = 3x + 14

x-2(3x+14)=12

distribute

x - 6x -28 = 12

combine like terms

-5x - 28 = 12

add 28 to both sides

-5x = 40

divide both sides by -5

x = -8

Now we plug in the value of x into one of the equations and solve for y

y = 3x + 14

x = -8

y = 3(-8) + 14

y = -24 + 14

y = 10

the solution is (-8,-10)

help me with this please i need help​

Answers

Answer:

[tex]\frac{-30}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{-30}{x+2}[/tex]

just

Calculate 5% of 88.5cm?

Answers

Answer:

5% of (88.5 centimeters) = 4.42500 centimeters

[tex]#SolutionGiven[/tex]

Answer:

5% of (88.5 centimeters) = 4.42500 centimeters

Step-by-step explanation:

brainiest if possible!

Find the value of the power.
93 =

Answers

The answer is 1.171 x 10^183

Hey there!

Assuming you meant:


9^3

IF SO, LETS SOLVE FOR IT!


9^3

= 9 * 9 * 9

= 81 * 9

= 729


Therefore, your answer is most likely:

[729] So, the base number is probably 5 and the exponent is probably 3


Random note:

Your base number is always that number that will be repeated by what the exponent is telling it!


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Divide20/100 pleased indeed the answer now

Answers

Answer:

0.2

Step-by-step explanation:

I hope this helps you

Answer:

0,2

Step-by-step explanation:

You get two zero away and you have the answer

Twice b is at least 30.

Answers

B is at least 15

Explanation:
If 2b = at least 30, the b is at least 15, because 15 • 2 = 30

Hope this helps!
Also consider giving me brainliest, thanks.

Which of the following rational functions is graphed below?

Answers

Answer:

C

Step-by-step explanation:

x-2 ≠ 0

x ≠ 2

x=2 is vertical asymptote

F(x) = 1 / (x-2)

HELPP ME PLEASE I NEED HELP

Answers

Answer:

See below.

Step-by-step explanation:

The equation is this

A= 1/2bh

We plug in the equation and we get this

A= 1/2 (14)(24)

Let's do the math.

A= 1/2 (336)

A= 168

That's your answer. ✌️

I hope this helps!

A junior baseball team plays 16 games each summer. last summer the team scored an average of 3.25 runs per game during the first half of the season. The team scored a total of 29 runs during the second half of the season. how many runs were scored by the team last season?

Answers

Answer:

928/65

Step-by-step explanation:

They played 16 games each summer. 16 divided by 3.25 is 32/65. 29 runs is 928/65. Sorry I couldn't help you with much.

It might be wrong.

What specific measure of a geometric figure is shown in the image

A. A 110 angle

B. A 180 mm side length

C. A 70 mm side length

D. A 70 angle

Answers

The answer is D, 70 is the angle

hei2fif4

Step-by-step explanation: a

can you simplify -212+(-102)

Answers

Answer:

-314

Step-by-step explanation:

Heya !

Your answer will be is :

-314

EXPLANATION :

Well, all you do is pretty much is add the numbers. And, you will get the answer from it.

-212 + (-102) = -314.

Hope It Helps ! ~

#LearnWithBrainly

Answer :

Jācè ~

John uses 1/4 cup of orange juice for every 2/5 cup of pineapple juice to make a fruit punch. Write the number of cups of orange juice John uses for 1 cup of pineapple juice.

Answers

Answer:

For every 1 cup of pineapple juice, John uses 1.6 cups of orange juice... or 8/5 cups

Please mark brainliest

A Komodo dragon can grow to be 120 inches long. One
Komodo dragon is 92 inches long. Write and solve an equation to find
the number of inches x the Komodo dragon still needs to grow to be
120 inches long. State what strategy and tool you will use to answer the
question, explain your choice, and then find the answer.

Answers

Answer:

120-x=90

120-90=x

30=x

What value of x is needed to prove the triangles
are similar?

Answers

Check the picture below.

Sofia walks from her house to the park.
She reaches the park at 5:25.

If it is a 40-minute walk, what time did she leave her house?

Answers

Answer:

4:45

Step-by-step explanation:

What time after 40 minutes gives you 5:25?

If we go back 40 minutes from 5:25, Sofia left her house at 4:45

6 gallons to 15 quarts ratio

Answers

Answer:

if my math correct it 1 = 0.4 that the ratio

Step-by-step explanation:

A circle has a circumference of 6. It has an arc of length of 1. What is the central angle of the arc, in degrees?

Answers

Answer:

firstly read the length of the arc then

center angle=l/r

=1/6

=6

The next model of a sports car will cost 14.6% more than the current model. The current model costs $31,000. How much will the price increase in dollars? What will be the price of the next model?

Answers

Answer:

$35526 is the cost of the model

Step-by-step explanation:

We can multiply 31,000 by 14.6 percent, and then add that to 31,000 to get our answer.

Step 1:

Convert 14.6% into a decimal. 0.146

Step 2:

Multiply 31,000 by 0.146

[tex]31000*0.146=4526[/tex]

Step 3:

Add 4526 and 31,000.

This equals 35526.

If a train travels 372 miles In
4 hours with a constant speed, how
far did the train travel in one hour?​

Answers

Answer:

93 miles

Step-by-step explanation:

[tex] \frac{372}{4} \\ = 93[/tex]

Therefore, the train traveled 93 miles.

please help solve this problem

Answers

Answer:

y = 15

Step-by-step explanation:

The triangles follow a scale factor. This scale factor can enlarge or make a triangle smaller, using this factor, like a ratio. We can do 22/10 to get this scale factor for the set, which is 2.2. Finally, divide 33 by 2.2 to get 15 for the missing side length y.

I need help on this ​

Answers

Answer:

B

Step-by-step explanation:

I'll say it is b not sure I hope this helps and if it is correct

Answer:

  B.

Step-by-step explanation:

I would write the first equation to better match the wording: three times d is 3d, and 290 less is (3d -290). That is said to be equal to t:

  t = 3d -290

If 3d is subtracted from both sides of this equation, you get an equation that matches some of the answer choices:

  t -3d = -290

The other equation is a straightforward expression of the difference in prices:

  t -d = 240

These equation match choice B.

help me help me help me

Answers

Answer:

Step-by-step explanation:

The angles are vertically opposite

Vertically opposite angles are always equal

? = 53 degrees.

Which of the following represents the solution
to the inequality 2|5-2x|-3<15


Answers

Answer:

it's C!!!!!!!!!!!!

Step-by-step explanation:

Answer:

C: (-2,7)

Step-by-step explanation:

Took the test on edge

Please help! Giving 30 points! Will also give brainiest if can! (First 2.) Graph each equation by plotting ordered pairs.
y=4x+4

Answers

Need more information about the question

HELP ME PLEASEE IM NOT UNDERSTANDING THIS

Answers

Answer:

  (10, 1), (15, 1), (20, 13), (25, 7)

  IS a function

Step-by-step explanation:

The ordered pairs are (input, output). Essentially, the numbers in each ordered pair are the numbers at each end of an arrow. There are as many ordered pairs as there are arrows.

Working top-down on input values, the ordered pairs of this relation are ...

  (10, 1), (15, 1), (20, 13), (25, 7)

None of the input values is repeated, so the relation is a function.

1/6(16f-64)=64 solve for f

Answers

Answer:

I believe that the answer is x=24

Find three consecutive odd integers such that three times the greatest is 7 less than the
sum of the smallest and middle integer.

Answers

Consecutive odd integers are odd integers that have a difference of 2

The consecutive integers are -17, -15 and -13

How to determine the integers

Let the integers be x, y and z (from least to greatest)

So, we have:

[tex]3z =x + y - 7[/tex]

Also, we have:

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

[tex]z = x + 4[/tex]

So, we have:

[tex]3z =x + y - 7[/tex]

[tex]3(x + 4) = x + x + 2 - 7[/tex]

Open the bracket

[tex]3x + 12 = x + x + 2 - 7[/tex]

Collect like terms

[tex]3x -x -x = 2 - 7-12[/tex]

[tex]x = -17[/tex]

Hence, the consecutive integers are -17, -15 and -13

Read more about consecutive numbers at:

https://brainly.com/question/10853762

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