The area of a rectangle is given by the expression, A = 4x2 + 9x + 2 where the width is x +2. Find an expression for the length of the rectangle. Show all steps.​

Answers

Answer 1

Answer:

4x+1

Step-by-step explanation:

1) to find the required expression for the length:

length=area/width;

2) according to the formula above:

[tex]L=\frac{4x^2+9x+2}{x+2}=\frac{(x+2)(4x+1)}{x+2}=4x+1.[/tex]


Related Questions

How has the polygon RQTS been translated to produce a polygon with Q’ at (-3, -3)?


shift down 5 units
shift down 6 units
shift down 2 units
shift down 3 units

Answers

Answer: Shift down 3 units

Step-by-step explanation:

From the figure its clear that the existing coordinate of the polygon RQTS are : (−3,0)

Since we have to translate the polygon to (−3,−3)

So:

−3−(−3)=0

−3−(0)=−3

Therefore shift down 3 units is the correct answer

Answer:

shift down 5 units

Step-by-step explanation:

i took the quiz

A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?

Answers

Answer:

1/8 is the smallest possible whole number length for the third side

Use+the+following+data+to+compute+the+relative+market+share+of+each+brand+and+its+position+on+the+growth-share+matrix+if+the+market+growth+rate+is+13. 4%. +which+of+the+following+is+correct?

Answers

Market share is simply the percentage of the total revenue or sales in a market which a particular business makes.

What is a market share?

Your information is incomplete. Therefore, an overview of the market share will be given. Market share is a measure of consumers' or businesses' preference for a product over other similar products.

A higher market share means greater sales and less effort is needed to sell more and a strong barrier to entry for other competitors.

For example, if there are 50,000 units sold per year in an industry, a company that has sales of 5,000 of those units would then have a 10 percent share in that market.

Learn more about market share on:

https://brainly.com/question/25309906

Help please thank you

Answers

Answer:

[tex] = 2 \times 4 = 8 \\ = 5 \times 5 = 25 \ \\ \frac{1}{2} \times 5 \times 3 = 7.5 \\ 7.5 + 8 + 2.5 = 18[/tex]

and Intervention
1. The library is 5 miles from the post office. How many yards is the library
from the post office?
yards

Answers

8800 yards. I think, not sure.

Please help me someone!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Split the second term in
2x squared -5x + 3 into two terms
2x squared - 2x - 3x + 3
Factor out common terms and last two terms
2x(x-1) -3 (x-1)
Factor out the common term x - 1
ANSWER: (x-1) (2x-3)


Which answers describe the shape below? Check all that apply.


Answers

Answer: C, D, and F

-> C. Quadrilateral

-> D. Parallelogram

-> F. Rectangle

Step-by-step explanation:

-> A. Square

     [✗] A square needs 4 congruent sides, this only has "two sets of two"

-> B. Trapezoid

     [✗] A trapezoid has one pair of parallel sides, but this shape has two

-> C. Quadrilateral

     [✓] This shape has four sides

-> D. Parallelogram

     [✓] This shape's opposite sides are congruent and parallel

-> E. Rhombus

     [✗] This shape's opposite angles/sides are equal, but not all of it's sides are congruent

-> F. Rectangle

     [✓] This shape has four sides, and it's opposite sides are congruent

9/5 - (-6/10)
Khan academy needs either exact fraction or exact decimal

Answers

Answer:

Exact fraction: 6/5

Exact Decimal: 1.2

Answer:

  12/5 = 2.4

Step-by-step explanation:

The fraction 6/10 can be reduced to simplify the addition.

  9/5 -(-6/10) = 9/5 +6/10 = 9/5 +3/5

  = 12/5 = 2.4

__

The two minus signs "cancel." The product of any set of numbers with an even number of minus signs will be positive.

Help
Arc JK = ______°Arc

M<1 = ______°

Answers

Answer:

Step-by-step explanation:

The value of a baseball card increased by 10%. Which expression represents the new value of the baseball card?


A. 1. 1v


B. V - 0. 1v


C. 0. 1v


D. V - 0. 1


E. V + 0. 1


F. V - 0. 9v

Answers

Answer:

d). Punch 1, then punch one zero. e). Punch the Add dar. 4 2 4. 0 + f) ... 1 by 6, that isi when you find the decimal v,s,lue

A cube has a side length of 5 inches. What is the surface area, in square inches of the cube?

Answers

Answer:

A=6a2=6·52=150in²

Step-by-step explanation:

Help me please 4 questions 50 points this is due today

Answers

Answer:

Q15: A

Q12: A,C,D

Q13: B

Q14: C

Answer:

1) Left 5, Down 1

2) A, C, D

3) B

4) D

Step-by-step explanation:

Desmos graphing calculator will help you with all of these.

a circle is placed in a square with a side length of 6yd, as shown below. Find the area of the shaded region. Use the value 3.14 for (), and do not round your answer.

Answers

Answer:

7.74 yd²

Step-by-step explanation:

Area (shaded) = Area (square) - Area (circle)Area (shaded) = 6 x 6 - 3.14 x 3 x 3 [ Note : radius of circle = 1/2 of the side of the square]Area (shaded) = 36 - 28.26Area (shaded) = 7.74 yd²

Answer:

7.74 yd²

Step-by-step explanation:

The shaded area can be calculated by subtracting the area of the circle from the area of the square.

Given:

side length of square = 6 ydradius of circle = half of side length = 3 ydπ = 3.14

Area of the square = side length × side length

                               = 6 × 6

                               = 36 yd²

Area of the circle = πr²

                             = 3.14 × 3²

                             = 28.26 yd²

Shaded area = area of square - area of circle

                      = 36 - 28.26

                      = 7.74 yd²

Help me do this question :)

Answers

Answer:

[tex]y = \frac{1}{8}x -7[/tex]

Step-by-step explanation:

Slope formula: [tex]y=mx+b[/tex]m = slope[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]

Find the slope using (8, -6) and (-8, -8):

[tex]m=\frac{-8-(-6)}{-8-8} \\\\m=\frac{-8+6}{-8-8} \\\\m=\frac{-2}{-16}\\\\m=\frac{2}{16}\\\\m=\frac{1}{8}[/tex]

[tex]y=mx + b\\\\y = \frac{1}{8}x + b[/tex]

Now, we use either of our points (8, -6) OR (-8, -8) to find b.

I will be using (8, -6):

[tex]y = \frac{1}{8}x + b\\\\-6=\frac{1}{8}(8) + b\\\\-6=1+b\\\\-1 \ \ -1\\\\-7=b[/tex]

[tex]y = \frac{1}{8}x + b== > y = \frac{1}{8}x -7[/tex]

Check your answer manually: (-8, -8)

[tex]y = \frac{1}{8}x -7\\\\-8 = \frac{1}{8}(-8) -7\\\\-8=-1-7\\\\-8=-8[/tex]

This statement is correct.

*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*

Hope this helps!

Someone help me with this pls

Answers

Answer:

MAYBE

Step-by-step explanation:

Answer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWER

SOORY

Write the following decimals in expanded form:
a) 0.75

b) 245.07

c) 36.85

d) 3.74

Answers

Answer:

a ) 0.75 = 0.70 + 0.05

b) 245.07 = 200 + 40 + 5 + 0.0+ 0.07

c) 36.85 = 30+6 + 0.80 + 0.05

d) 3.74 = 3+ 0.70 + 0.04

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Write the following decimals in expanded form:

a) 0.75

0.70 + 0.05

b) 245.07

200 + 40 + 5 + 0.07

c) 36.85

30 + 6 + 0.8 + 0.05

d) 3.74

3 + 0.7 + 0.04

Hope this helps!

A bike rental company charges its customers p dollars per day to rent a bike, where 5≤p≤30. the number of bikes rented per day can be modeled by the linear function n(p)=300−10p. how much should the company charge each customer per day to maximize revenue? do not include units or a dollar sign in your answer.

Answers

Using the vertex of a quadratic equation, it is found that the company should charge each customer $15 per day to maximize revenue.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the number of bikes rented per day is given by:

n(p) = 300 - 10p.

Hence, the revenue function is given by:

R(n) = p x n(p)

R(n) = 300p - 10p².

Which is a quadratic function with coefficients a = -10, b = 300. Hence, the price in dollars that will maximize the revenue is given by:

[tex]x_v = -\frac{300}{-20} = 15[/tex]

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

What does the fair and accurate credit transactions act provide for consumers? a. it entitles consumers to get one free credit report per year from the big three reporting agencies. b. it entitles consumers to notify credit reporting agencies if their identity is stolen. c. it entitles consumers to file a complaint with the federal trade commission if their identity is stolen. d. it entitles consumers to find out about who has access to personal information and if it is being handled securely.

Answers

Fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.

What is fair and accurate credit transactions act?

Fair and accurate credit transactions act passed in 2003 which is made to improve the protection of customer.

The objective of fair and accurate credit transactions act-

To improve the protection of customer.Ensure provisions in case of identity theft.Provide access to consumers to find out about who has access to personal information.

Thus, fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.

Option d is the correct option.

Learn more about the fair and accurate credit transactions act here

https://brainly.com/question/6656307

Answer: a. It entitles consumers to get one free credit report per year from the big three reporting agencies.

Step-by-step explanation: quizlet

Use the distributive property to write the following expression in expanded form.

5(7h + 3m)

Answers

hello!

==============================================================

The distributive property states that:-

[tex]\bigstar{\underline{\boxed{\pmb{a(b+c)=ab+ac}}}[/tex]

Simplify:-

[tex]\bigstar{\boxed{\pmb{5(7h+3m)}}}[/tex]

[tex]\longmapsto\sf{(5~times~7h)+)5*3m)[/tex]

[tex]\longmapsto\sf{35h*15m}[/tex]

===============================================================

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

What is a closed line of credit? a. a line of credit with a set maximum credit limit. b. a line of credit with no interest rate. c. a line of credit with a fixed total amount. d. a line of credit with a legally mandated repayment schedule. please select the best answer from the choices provided a b c d

Answers

Answer:

c

Step-by-step explanation:

a line of credit with a fixed total amount.

The closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.

What is a line of credit?

On the bases of the requirement, a person or firm takes the open or closed line of credit.

Open Line of Credit-This is a type of short period of loan in which many credit and deposit can be make, for example credit cards.Closed Line of Credit-This type of credit has to be repaid with total amount. The period of such credit is longer than the open line of credit. The deposits is make single time with fixed total amount.

Thus, the closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.

Learn more about the closed line of credit here;

https://brainly.com/question/9028806

What is one way to put your PowerPoint Online presentation in full screen mode for your audience?

Select Begin Presentation
Select Editing View, and then select Start Slide Show
Select Presentation View
Select Reading View, and then select Start Slide Show

Answers

Answer:

The easiest and fastest way is shown below, by clicking the button at the bottom that is circled.

Step-by-step explanation:

Answer:

Reading View

Step-by-step explanation:

First, select the Reading View option in the bottom right corner of the working area. Then, select the Slide Show option that is right beside the Reading View option. This will make your presentation go full screen.

Calculate the average daily balance, finance charge, and new balance using the average daily balance method. Round all dollar amounts to the nearest cent. If applicable, include a thousands comma. Monthly rate: 1.75% Date Payments Purchases Balance Number of Days Product 9/1-9/5 $387.525 1,937.60 976 $50.00 $337.521 337.52 977 - 9/18 A В С 9/19 $62.66 $400.181 400.18 9/20-9/30 D E F Total 30 G A= $ BE C= $ D=$ E= F=$ G=$ Average daily balance : 30 = $ Finance charge = monthly rate x average daily balance = $ New balance = previous balance payment/credits + finance charge + new purchases = $​

Answers

Answer:

Step-by-step explanation:

Credit should go to the previous helper here:

https://brainly.com/question/21285117

I have not cross-checked but the previous answers were:

"

For average daily balance:

Form date 9/1 to date 9/5 :

Balance x number of the days = $ 387.52 x 5 days = $ 1937.6

As on date 9/6 :

($ 387.52 - $ 50.00) x 1 day = $ 337.52

From date 9/7 to date 9/18 :

Balance = $ 337.50

Number of days = 12 days

Therefore, product = 12 days x $ 337.52

= $ 4050.24

As on 9/19 :

($ 337.52  + $ 62.66) x 1 day = $ 400.18

From date 9/20 to date 9/30

Balance :$ 400.18

Number of days = 11 days

Therefore, product = 11 days x $ 400.18

= $ 4401.98

Average daily balance

=  ($ 1937.6 +  $ 337.50 + $ 4050.24 + $ 400.18 + $ 4401.98) / 30

= $ 370.91

Finance charge = $ 370.91 x 1.75 %

= $ 6.49

New balance = $ 370.91 + $ 6.49

= $ 377.4

"

What are the new coordinates of Point R after a 90 degree clockwise rotation?

Answers

Step-by-step explanation:

P(-4,-1)======P'(-1,4)

Q(-4,-3)=====Q'(-3,4)

R(-2,3)======R'(3,2)

At a height of 316 meters, the Bell Tower is the tallest building in Morgansville. Hank is creating a scale model of this building using

the scale 100 meters: 1 meter.

To the nearest tenth of a meter, what will be the height of the scale model?

Answers

Answer:

Scale: 100 meters per 1 meter

Actual: 316 per unknown meters(our scale)

So order our units:-

Scale          1                 x

_______   _______ =  _______, solve for x;

Meters      100           316

1/100 = x/316

*316      *316

3.16 = x, 3.16 rounded = 3.20 is the scale.

Alex constructs a circle that passes through all three vertices of the triangle shown.
E
Where will the center of the circle be located?

Answers

Answer: A, TRUST ME!

Step-by-step explanation:

A pencil is `120` millimeters long.

A marker is `9\%` longer than the pencil.



How long is the marker?

Answers

Given the length of the pencil, the length of the marker is 130.8 millimeters.

What are percentages?

Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.

How long is the marker?

Length of the marker = (1 + percentage) x length of the pencil

(1.09) x 120 = 130.8 millimeters

To learn more about percentages, please check: https://brainly.com/question/25764815

The price of the stereo system
decreased from $210 to $126.

What was the percent of decrease?

Answers

Answer:

40%

Step-by-step explanation:

The amount of decrease is $84, so now all you need to do is convert 84/210 into a percentage. Divide both sides by 2.1 so the denominator is 100 (percent is a ratio with a denominator of 100) and the answer will be 40/100, which is 40%.

Identify the area of the polygon with vertices t(6,5), a(8,−1), s(4,−2), and k(−1,4).

Answers

Answer:

  36.5 square units

Step-by-step explanation:

There are a number of ways to compute the area of a polygon from the coordinates of its vertices. There are algebraic formulas, geometric methods involving decomposing the figure, and an interesting method described by Pick's theorem.

__

Geometry

The figure can be enclosed by a rectangle that is 7 units high by 9 units wide. The actual figure is obtained by removing the triangular corners of this rectangle. The areas of those are given by the triangle area formula ...

  A = 1/2bh

Working clockwise from lower left, the triangle base (horizontal) and height (vertical) dimensions are 5×6, 7×1, 2×6, 4×1. That means the area of the triangles is ...

  A = 1/2(5×6 +7×1 +2×6 +4×1) = 1/2(30 +7 +12 +4) = 1/2(53) = 26.5

The area of the bounding rectangle is ...

  A = bh = 9×7 = 63

So, the area of the figure is the difference ...

  A = 63 -26.5 = 36.5 . . . square units

__

The other methods of finding the area have been added as attachments.

A box has a square base with side x cm , height 4 cm and volume 289 cm^3. Find x

Answers

Answer:

8.5 cm

Step-by-step explanation:

volume = height × area of base

since this a square, area of base = x²

so 289 = 4 × x²

x² = 289 ÷ 4

x² = 72.25

so x = √72.25

x = 8.5cm

hope this helps

Convert the following fraction to a decimal -11/16

Answers

Answer:

-0.6875

Step-by-step explanation:

[tex]Convert\ -11/16\ to\ decimal\\ \downarrow\\ -0.6875[/tex]

I hope this helps you

:)

Answer: -0.6875.

Step-by-step explanation: -1/16 is -0.0625, and if you add -1/16 eleven times, you get -0.6875.  Therefore, -11/16 as a decimal is -0.6875.

Have a great day! :)

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