14. Devon has an area rug with a width 3 feet less than its length, l. He has purchased a larger rug to fit into his new dorm room. Both length and width of Devon's new rug are 2 feet longer than the original. Find the simplified expression of the perimeter and the NEW rug.​ plsssss help.me show work

Answers

Answer 1

Answer:

Perimeter of the new rug   = 4x+2 feet

Step-by-step explanation:

Let the length be x feet and the width of the first rug will be x- 3 feet

Area = length * breadth = x * (x-3) = x²- 3x

Length of the new rug = x+2 feet

Width of the rug = x+2-3= x-1 feet

Perimeter of the recatngle = 2( length + breadth)

                                             = 2( x+2 + x-1)

                                               = 2 (2x+1)

                                                = 4x+2 feet


Related Questions

Hey i need help finding the orthocenter for the following points, please show the steps you used. thanks

(-3, 0.5)
(3,3)
(2,-1)

Answers

9514 1404 393

Answer:

  (81/43, -31/43) ≈ (1.884, -0.7209)

Step-by-step explanation:

The orthocenter is the intersection point of the altitudes of the triangle. Since this is not a right triangle, you need to find the equations of the altitude lines, then find where those intersect.

If we call the points A, B, C in the order given, the attached figure shows the altitude lines from B perpendicular to AC, and from C perpendicular to AB.

We can find the equation of the perpendicular line using the form ...

  ∆x·x +∆y·y = c

where ∆x and ∆y are the differences in coordinates between the points on the "side" and the value of constant 'c' is determined by evaluating the expression using x and y as the coordinates of the opposite vertex.

__

For line AC, we have ...

  (∆x, ∆y) = C - A = (2, -1) -(-3, 0.5) = (2+3, -1-0.5) = (5, -1.5)

Then the equation of the first altitude line is ...

  5x -1.5y = 6(3) -1.5(3) = 10.5

Multiplying by 2 puts this in standard form:

  10x -3y = 21

__

For line AB, we have ...

  (∆x, ∆y) = B - A = (3, 3) -(-3, 0.5) = (3+3, 3-0.5) = (6, 2.5)

Then the equation of the second altitude line is ...

  6x +2.5y = 6(2) +2.5(-1) = 9.5

Multiplying by 2 puts this in standard form:

  12x +5y = 19

__

Then the orthocenter is the solution to the system of equations ...

  10x -3y -21 = 0

  12x +5y -19 = 0

This set of equations can be solved a number of ways. One is the "cross-multiplication" method.

  1/(10·5 -12·(-3)) = x/(-3·(-19) -5·(-21)) = y/(-21(12) -(-19)(10))

  x = 162/86 = 81/43

  y = -62/86 = -31/43

The orthocenter is (81/43, -31/43) ≈ (1.884, -0.7209).

_____

Additional comment

The "cross multiply method" is based on cross products when the equations  are written in standard form:

  ax +by +c = 0

  dx +ey +g = 0

Usually, the coefficients are written in two rows of four, with the first column repeated at the end:

  a  b  c  a

  d  e  g  d

Then cross products are formed, where diagonal down is positive and diagonal up is subtracted from that:

  p1 = (ae -db), p2 = (bg -ec), p3 = (cd -ga)

These give the solution to the equations when put in the form ...

  1/p1 = x/p2 = y/p3   ⇒   x = p2/p1   and   y = p3/p1

If you look at videos of this "cross multiply method," they will put the 1/p1 at the end of the string of equalities, and they will use the coefficients in the order starting with b instead of a. I find the arrangement here easier to remember, so less likely to get confused.

Further comment

You can, of course, find the slopes of the lines, and their opposite reciprocals, then use a point-slope form or some other method for writing the equations of the altitude lines. The solution to the equations can proceed by substitution or elimination. No doubt these methods are somewhat familiar. The method used here tries to get to the answer much more quickly with a lot less writing. (Unfortunately, it takes a bit of writing to explain it all.)

Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
DAC
A
Statements
Reasons
00
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.

Answers

Answer:

AD ≅ BC                                         | Given

AD ║ BC                                         | Given

AC ≅ AC                                         |  Reflexive Property

∠DAC ≅ ∠ACB                               | If 2 || lines are cut by a trans., the                                                                       |  alternate interior ∠s are congruent.

ΔADC ≅ ΔBCA                               | S.A.S  Postulate

BA ≅ DC                                         | Corresponding sides of congruent Δs

So, quad. ABCD is a ║gm             | If a quad. has its opposite sides

                                                      | congruent, the quad. is a parallelogram.

Step-by-step explanation:

Step-by-step explanation:

Sorry I'm late I hope that helps:)

Which of the following is equivalent to 7a^4+3a^4

Answers

Give me a list for me to answer

2,401a+81a
is equivalent

Answer:

Step-by-step explanation:

7a^4 + 3a^4 is 10a^4

10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of minutes to miles, 4:1. Divide 7.5 by 4. Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4. Find the difference between 16 and 10. Add the difference to 16. Find the difference between 16 and 10. Add the difference to 7.5.

Answers

Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Given

Minutes: 10 || 16 || ?  || 48

-----Miles: 2.5 || 4 || 7.5 || 12

Required

Which statements solve for the missing value?

First, we need to calculate the ratio of minutes to mile

[tex]Ratio = \frac{Minutes}{Mile}[/tex]

When minutes = 16; mile = 4

So, we have:

[tex]Ratio = \frac{16}{4}[/tex]

[tex]Ratio = 4[/tex]

Next, we multiply the ratio by 7.5

[tex]Minutes = Ratio * 7.5[/tex]

[tex]Minutes =4 * 7.5[/tex]

[tex]Minutes = 30[/tex]

Hence, option B answers the question.

3. Which property of multiplication is shown by the equation
14.y.1 = 14y?
A. Associative
C. Commutative
B. Distributive
D. Identity

Answers

Answer:

identity

Step-by-step explanation:

it states that any number times 1 is equal to itself. so when u have 14y, you can multiply it by 1 and it will remain the same.

Answer:

identity

Step-by-step explanation:

Vivian earned $540 last month. She saved 30% of this money. How much did she save?

Answers

Answer:

$162

Step-by-step explanation:

Step 1: Multiply 540 by .3 (convert 30% to a decimal)

540 x 0.3= 162

y-3= 5(x - 2)

NEED HELP

Answers

Answer:

Y = 5x -7

Step-by-step explanation:

That is written in slope intercept form, which I'm assuming is what you need. If not comment on my answer.

Answer:

y = 5x - 7

Step-by-step explanation:

y-3= 5(x-2)

y-3 = 5x - 10

y=5x -7

This is the answer if you have anymore questions please ask

WHAT IS FRICTION BETWEEN????? NEED ANSWERS ASAP

Answers

Answer:

Friction is a force between two surfaces that are sliding, or trying to slide, across each other.

Step-by-step explanation:

For example, when you try to push a book along the floor, friction makes this difficult.

Answer:

Friction is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. Static, sliding, and rolling friction occur between solid surfaces. Fluid friction occurs in liquids and gases.

Step-by-step explanation:

How do I solve 8x+5y=-20 ?

Answers

Answer: y=-8/5x-4

Step-by-step explanation:

8x+5y=-20

-8x         -8x

5y=-8x-20

/5     /5

y=-8/5x-4

3(x + 1) = −2(x − 1) − 4

Answers

x= -1
i think, hope this helps!

To find the inverse of f(x) = 2x – 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step?
A.Solve the equation for x.
B.Subtract 1 from both sides of the equation.
C.Solve the equation for y.
D.Replace y with f–1(x).
it a

Answers

Answer:

Step-by-step explanation:

C. Solve for y

A 40-degree angle is translated 5 inches along a vector

Answers

Answer :need the options you choose frome

Step-by-step explanation:

16 is what percent of 96?​

Answers

Answer:

15.36%

Step-by-step explanation:

Choose the representations or descriptions that model the relation provided in each item. For each relation, select all situations that apply.


x -2 0 2 4
f(x) 4 0 4 16


a The relation is a function.
b f( x) = -2 x
c f(4)= -2
d domain: {-2, 0, 2, 4}
e The relation is not a function.
f f( x) = x2

Answers

It is B and D because it is the only one that matches the input and outputs. D shows a perfect graph of the points while B shows the points themselves. They cannot be a linear function since they are not linear so it is not E or F.

Suppose A and B are points on the number line. If AB = 8 and B lies at −7, where could A be located?
Select ALL that apply.
−1
1
15
−15

Answers

Answer:

The correct answers are: 1 and -15

Step-by-step explanation:

Let a be a point on number line and b be the second point on number line.

The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.

Here

AB = 8

B = -7

We have to look at the options one by one.

For A = -1

As A>B

[tex]AB = B-A = -1-(-7) = -1+7 = 6[/tex]

For A = 1

As A>B so

[tex]AB = A-B = 1-(-7) = 1+7 = 8[/tex]

So with A = 1 , AB = 8

This is one of the right answers.

For A=15

As A>B

[tex]AB = A-B = 15-(-7) = 15+7 = 22\\[/tex]

For A=-15

As B>A

[tex]AB = B-A = -7-(-15) = -7+15 = 8[/tex]

As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.

Hence,

The correct answers are: 1 and -15

Circle B has a radius of 7 and its center is located at (2,5).

Circle H has a radius of 13 and its center is located at (9,-4).

Circle B and circle H _______________ similar.


A. No answer text provided.

B. cannot be determined to be

C. are

D. are not

Answers

Answer:

C. Circle B and circle H are similar.

Step-by-step explanation:

From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.

In consequence, we conclude that correct answer is C.

Giving Brainlest to the person who explains how to get the right answer !!!!

Food poisoning strikes 76 million people in America each year and kills about 5,000 people each year. What is the the percentage of food poisoning victims who die from food poisoning each year

Answers

Answer:

300 million

Step-by-step explanation:

Answer:

5,000 people = 1520000%

Step-by-step explanation:

The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Please help! It’s already late! Help asap!

Answers

Answer:

D

Step-by-step explanation:

Stanley has a part time job planting flowers at the green thumb green house. He earns $11.40 per hour. If he worked 13.5 hours this week, how much did her earn

Answers

Equation: 11.40x
13.5 = x
11.40 * 13.5 = $153.90

can anyone help i will give brainlist!! also you have to solve the equations using elimination

Answers

Step-by-step explanation:

5x+2y=29

5x-2y=41

add the equations

10x=70

divide both sides by ten

x=7

substitute 7 in the first equation

5(7)+2y=29

simplify

35+2y=29

subtract 35 from both sides

2y=-6

simplify

y=-3 x=7

3x+2y=9

5x+2y=12

subtract the equations

-2x=-3

simplify

x=1.5

substitute

3(1.5)+2y=9

simplify

4.5+2y=9

subtract 4.5 from both sides

2y=4.5

simplify

y=2.25 x=1.5

5x+2y=-9

2x-3y=4

multiply first equation by three and second by two

15x+6y=-27

4x-6y=8

add equations

19x=-19

simplify

x=-1

substitute

15(-1)+6y=-27

simplify

-15+6y=-27

add 15 to both sides

6y=-12

simplify

y=-2 x=-1

1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What is the measure of angles 3?
4. What is measure of angle 6?
5. What is the relationship between angles 4 and 5?

Answers

1) 70
2) 85
3)63
4)20
5) same number across from each other I forgot what that was called

Answer:

bla bla bal bala bla bla bla bla hahahahhahahahhhehehhehehehheheh joke png

Choose the slope and y-intercept that
correspond with the graph.

Answers

slope: 1/4
y-intercept: 4

can someone please please help me? with a reasoning? :(

Answers

Answer:

a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )

Step-by-step explanation:

a)

3x + y = -5

y = -3x -5

b)

y = 1/3 ( 21 - 9x)

y = -3x + 7

y = 3x + 2.5

the slop is to be same in the parallel lines. slop means m in ( y = mx + c )

so a) & b) are parallel lines. since their m is -3 .

Will GIVE BRAINILEST TO WHO ANSWERS
Subtract 9x^2+7x-29x 2 +7x−2 from 8x-108x−10.

Answers

Answer:

20x^2 - 107x - 10.

Step-by-step explanation:

8x - 108x - 10 - (9x^2 + 7x -29x^2)

simplifying:

-100x - 10 - (7x - 20x^2)

20x^2-100x - 7x - 10

20x^2 - 107x - 10

Answer:

−9x

2

+x−8

Step-by-step explanation:

Find the values of x and y by writing two equations and solving the system of equations.

Answers

Answer:

y=2 x=5

Step-by-step explanation:

3x-2y=11

2x-3y=4

you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3

     6x-4y=22

+    -6x-9y=12

--------------------------

0x+5y=10

y=2

you plug that in either equation

3x-2(2)=11

3x-4=11

3x=15

x=5

Which equation matches the story: Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?

3(x+5)=17

3x+5=17

5(x+3)=17

5x+3=17

Answers

Answer:

$2.80

Step-by-step explanation:

17-3=14

14 divided by 5=

2.8

Add 0 since it's about money.

$2.80

Simplify.

Look at the picture

Answers

Answer:

1397.970007

Step-by-step explanation:

1. Allison’s middle school team has designed t-shirts containing their team name and color. Allison and her friend Nicole have volunteered to call local stores to get an estimate on the total cost of purchasing t-shirts. Print-o-Rama charges a set-up fee, as well as a fixed amount for each shirt ordered. The total cost is shown below for the given number of shirts. Value T’s and More charges $8 per shirt. Which company should they use?

a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.

b. What is the constant of proportionality of Value T’s and More? What does it represent?

c. How much is Print-o-Rama’s set-up fee?

d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.

Answers

Answer:

the numbers are missing here, so I looked for a similar question:

Print-O-Rama

# shirts    total  cost

10                $95

50             $375  

a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.

Value T’s and More offers a proportional relationship since each t-shirt costs $8 regardless of the number of t-shirts

b. What is the constant of proportionality of Value T’s and More? What does it represent?

$8 per t-shirt

f(c) = $8t

the function of total cost = $8 times the number of t-shirts ordered

c. How much is Print-o-Rama’s set-up fee?

using the high-low method

variable cost = ($375 - $95) / /50 - 10) = $7 per t-shirt

fixed cost (set-up fee) = $375 - (50 x $7) = $25

d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.

purchasing 90 t-shirts at Print-o-Rama costs = $25 + (90 x $7) = $655

purchasing 90 t-shirts at Value T’s and More costs = 90 x $8 = $720

you should purchase the t-shirts at Print-o-Rama since the cost is lower.

Helen is typing a report and is using two different sizes of fonts, as shown below. What is the ratio of the height of a letter typed using font I to the height of a letter typed using font II?
2/9
1/3
3
9
WILL RECIEVE BRAINLIST

Answers

Tff coo I FTC con got a CFC fav. Tvtttttv gggt

Answer: 2/9

Step-by-step explanation:

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