7. The Waltz family are planning to repave their driveway. The length of their driveway is 7 feet
longer than its width. The area of the driveway is 144 square feet. Write a quadratic equation in
standard form representing the area of the driveway.
Find the dimensions of the driveway in feet.
Width
Length =

Answers

Answer 1

Answer:

Dimensions Of The Driveway is Length=16 Feet & Width=9 Feet

Step-by-step explanation:

According To Question,We Have Given

Length of Driveway Is 7 feet longer than its Width

Let the Width be X Feet . So Length is (X+7)Feet

Area Of Driveway = 144 sq. Feet

X * (X+7) = 144

[tex]X^{2}[/tex]+7X=144

[tex]X^{2}[/tex]+16X-9X-144=0

X(X+16)-9(X+16)=0

X = -16 & +9 (Neglect -16 because Width=X, that Can Never be in Negative)

So X = +9

Now Put this value, We get Width = 9 Feet & Length =16 Feet


Related Questions

Write the expanded form of the expression.
y(0.5+6)
y(0.5+ 6) =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answers

Answer: 0.5y+6y (expanded), 6.5y (simplified)

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
O A. 2x-3
O B. 4x+1
ОС. 3х – 3
O D. 2x-1

Answers

Answer:

.➌×-➌

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

By definition, (f+g)(x) = f(x) + g(x)

So, (f+g)(x) = 3x - 1 + x + 2

= 4x + 1

Need help with this

Answers

Answer 26 explanation 9+9+4+4=26

If θ is an angle in standard position and its terminal side passes through the point (-4,-9), find the exact value of \tan\thetatanθ in simplest radical form.

Answers

Given:

θ is an angle in standard position and its terminal side passes through the point (-4,-9).

To find:

The exact value of tanθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:

[tex]\tan \theta=\dfrac{-9}{-4}[/tex]

[tex]\tan \theta=\dfrac{9}{4}[/tex]

Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].

Triangle ABC is reflected across x = 1 and y = -3. What are the coordinates of reflection image of A after both reflections

Answers

Answer:

(1,0)&(0,-3)

Step-by-step explanation:

might be not sure..

Q.No.1: A subset of {2, b} is:

Answers

Answer:

{2}

or

{b}

a subset is a part of the whole set.

Answer:

hope it helps...

Solve for X. the Polygons in each pair are similar.

Answers

Answer:

x = 7

Step-by-step explanation:

If the triangles are similar, the side length ratios have to be the same

49                 63

------------- = ---------

42                  8x-2

Using cross products

49 ( 8x-2) =42 (63)

Divide each side by 49

8x-2  = 42*63/49

8x -2 = 54

Add 2 to each side

8x = 56

Divide b 8

8x/8 = 56/8

x = 7

Irene faced north. She turned 270 ° to the left and then 90 ° more to the left.
In what direction is Irene now facing?

Answers

North again. 270 + 90 = 360, hence the full rotation

PLEASE HELP ASAP - ILL GIVE BRAINLEST

GIVE THE WORK FOR IT TP PELASEE!! and 20 points

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

he tables represent two linear functions in a system.

A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 22, negative 10, 2, 14. A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 30, negative 21, negative 12, negative 3.
What is the solution to this system?

(negative StartFraction 13 over 3 EndFraction, negative 25)
(negative StartFraction 14 over 3 EndFraction, negative 54)
(–13, –50)
(–14, –54)

Answers

Answer:

8-22 is the answer ok thanks

can someone please help PLEASE ​

Answers

U: -2,-2
B: -5, 0
K: -5, -3
Y: -4, -3

I believe so..

(2x-y)2-(y+2)2:::::::::::::::

Answers

Answer:

(2x - y )2 - (y + 2)2 = 4 (x - y - 1)

Step-by-step explanation:

[tex](2x -y) 2 - ( y + 2 ) 2 = (4x -2y) -(2y + 4) \\\\[/tex]

                             [tex]= 4x - 2y -2y - 4\\\\=4x - 4y - 4\\\\=4(x-y-1)[/tex]

Answer the questions for BRAINLIEST (EASY)

A.
B.
C.

Answers

Answer:

A=x-3

B=X-14

C=X-10

A to finalize you question and help

Express x^2 + 4x - 7 in the form (x + a)^2 - b where a and b are intergers

Answers

Answer:

[tex]a = 2 \\ b = 11[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 4x + 4 - 4 - 7 = {(x + 2)}^{2} - 11[/tex]

Express each ratio as a fraction in simplest form.
5 miles to 35 miles

Answers

Answer:

1 : 7

Step-by-step explanation:

Given

5 miles : 35 miles ( divide both parts by 5 )

= 1 : 7 ← in simplest form

What is the surface area of the rectangular prism below?

Answers

Answer:

108 in.

Step-by-step explanation:

SA = 2(lw + wh + lh)

SA = 2((6)(4) + (4)(3) + (6)(3)

SA = 2(24) + (12) + (18)

SA = 2(54)

SA = 108 in.

Answer:

108

Step-by-step explanation:

The length of a rectangle is 6 yards more than 8 times the width. The perimeter is 102 yards. Find the length and width.

•show work/steps!!
•any links/wrong answers will be reported

Answers

l•w=102
l=8w+6
8w+6•w=102
9w+6=102
102-6=96
9w=96
96/9= 10.67
Width is 10.67 yards

5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).

Answers

Answer:

The coordinate or the point N is (2,3)

Step-by-step explanation:

The formula for the midpoint of two points is;

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

for AB

A(-1,3) and B (7,-3)

We have;

(x,y) = (-1 + 7)/2 , (3-3)/2 = (6/2, 0/2) = (3,0)

For CM;

C(1,6) and M(3,0)

(x,y) = ( 1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)

Micheal is collecting sea glass from the beach. He begins with 14 pieces in his collection and adds 2 new pieces each day. Determine how may days it will Micheal to have 80 pieces of sea glass in his collection.

Answers

Answer:

It would take Micheal 22 days.

Step-by-step explanation:

The end goal is to have 80 and we begin with 14

So, 80 - 14 = 66 pieces left to collect

If he collects 3 per day we'll divide 66 by 3, which equals 22

Therefore it takes him 22 days  

Can someone please help

The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake

Answers

Answer:

The answer is below

Step-by-step explanation:

The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake, . Which equation could be used to find the intensity of an earthquake with a Richter scale magnitude of 4.8 in reference to an earthquake with an intensity of 1?

Solution:

The Richter magnitude scale was developed in 1935 by Charles F. Richter. The Richter scale is used to measure the strength of earthquakes.

The magnitude of an earthquake (M) using a Richter scale is given by:

[tex]M=log(\frac{I}{I_o} )\\\\Where\ I\ is\ the\ intensity\ of\ the \ earthquake,I_o\ is \ the\ intensity\ of\\the\ reference\ earthquake.\\\\Given\ that\ M=4.8,I_o=1.\ Hence:\\\\4.8=log(\frac{I}{1} )\\\\4.8=log(I)\\\\I=e^{4.8}\\\\I = 121.5[/tex]

which of the following indicates that triangle QRS and triangle TUV are similar? Btw I need a valid step-by-step on how you do this, if not I'll report your answer, and assume you're doing it for the points!!

Answers

Answer:

third option.

∼ means similar

≅ means congruent

≈ means approximate

= means equal

What is the answer and explain why

Answers

Answer:

20

Step-by-step explanation:

Take note of the important information/key words:

60 total ornaments

3 grandchildren

Divide them evenly

Set up an equation:

60 ornaments ÷ 3 grandchildren = ornaments per grandchild

60 ÷ 3 = 20 ornaments per grandchild.

In other words, each grandchild will receive 20 ornaments.

Write the smallest three digit number whose value does not change on reversing its digits.​

Answers

Answer:

the answer is 101.

Step-by-step explanation:

it is the smallest three-digit number whose value does not change on reversing its digits.

The measurement of a rectangular room on a scale drawing are 8cm x 6cm. If the scale use is 1 : 400, calculate the actual area of the room in m².​

Answers

Answer:

768 m²

Step-by-step explanation:

8 x 400 = 3200 cm = 32 m

6 x 400 = 2400 cm = 24m

32 x 24 = 768 m²

Sara and jo both ran an 8km race Sarah took 55 mins to run the whole race jo started the race 3 mins later than Sara but caught up when they had both travelled 6 km of Sara and jo both ran at constant speed what is jos speed in 2dp

Answers

Answer:

9.41 km/h

Step-by-step explanation:

The total distance of the race, d = 8 km

The time Sarah took to run the race, t = 55 mins

The time Jo started the race = 3 mins later than Sara

The point Jo caught up with Sarah = 6 km into the race

The rate at which Jo and Sarah ran = Constant speed

The required information = Jo's speed

From the information given, Sarah's speed, v = 8 km/(55 mins) = (8/55) km/min × 60min/h = 96/11 km/h

The time it would take Sarah to run 6 km = 6 km/(8 km/(55 mins)) = 41.25 mins

Given that Jo started 3 minutes late, and they both arrive at 6 km into the race at the same point in time, the time it took Jo to arrive at 6 km into the race = The time it took Sarah - 3 minutes

∴ The time it took Jo to run the 6 km = 41.25 minutes - 3 minutes = 38.25 minutes

Given that Jo ran at a constant speed, and speed = distance/time, we have;

Jo's speed = 6 km/(38.25 min) = 8/51 km/min × 60 min/h = (160/17) km/h ≈ 9.41 km/h.

given data 4,y,9,5,2,7 find y if the mode is 4
the mean is 5
the median is 6​

Answers

Answer:

y = 3

Step-by-step explanation:

y , 2 , 4 , 5 , 7, 9

Mean = 5

[tex]\frac{4+y+9+5+2+7}{6}=5\\\\\frac{y+27}{6}=5\\\\y+27 = 5*6\\y +27=30\\y=30-27\\y = 3[/tex]

Someone plss help me on this one too!
Thanks :)

Answers

Answer: 30%

Step-by-step explanation:

Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate that employee's vacation hours. The relationship between the number of hours worked and the number of vacation hours for employees at each company is shown in the table and graph, respectively. + COMPANY S COMPANY P Hours Worked Vacation Hours 10 014 Vacation Hours NA Uomo 20 0.8 30 1.2 40 1.6 50 2.0 20 40 60 80 100 120 Hours Worked Drawn on add images here Which statement describes the difference in each friend's vacation hours if both friends work 2,080 hours?

Answers

Answer:

Rhys was the only man in a day and he was a the work that he has been through and you have a very nice feeling and a good friend of the family that s you have to love you and love you all and becomes the most loved person you have a lot to be proud about and becomes the first time that he is in a few hours and a day of the day of his death that s and you are the only person who can do this by sanjay and becomes the most beautiful man ever and becomes the first person in your class and the life that s for any of the other things you have a lot of the time to do this is not a sin of God or no company in this way to the holy grail and you will not starting with a job that s you to village in a day of the day that s the meeting of your family in a day and a day 5th birthday party for any other day and day to night and a day and day for a couple to get the chance of being the first person to village and to village and to be in a 666inches and a half hour trip from London and a day of his time of life in London we will have to see how the tempe and becomes a new place in a few years and becomes the most popular place in Europe

Solve: log2(3x + 8) = 5 Which is an equivalent equation?

Answers

Answer:  5/log (8) - 8/3

Step-by-step explanation:

Answer:

A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4

Step-by-step explanation:

I just did it hope this helps

Please help I really need ur help please

Answers

Answer:

y = 3x - 30

Step-by-step explanation:

First, put both equations into slope-intercept form.

x + 3y - 4 = 0

3y = -x + 4

y = (-1/3)x + (4/3)

2x + 5y - 20 = 0

5y = -2x + 20

y = (-2/5)x + 4

For a line to be perpendicular to y = (-1/3)x + (4/3), its slope should be the opposite and reciprocal of this line's slope.

The slope of y = (-1/3)x + (4/3) is (-1/3). The slope of a perpendicular line is 3.

To find the x-intercept of y = (-2/5)x + 4, plug in 0 for y and find x.

0 = (-2/5)x + 4

x = 10

The equation of the line right now is y = 3x + b

Plug in (10, 0) to find the y-intercept.

0 = 3(10) + b

b = -30

The equation of the line is y = 3x - 30

Other Questions
HELP WITH MY MATH PLEASEEE Discuss 2 issues that the Workers Rights faced WILL MARK YOU IF YOU HELP ME !!!! Which of the following is not a possible pollutant?a carbon dioxideb. pesticidesc.fertilizerd.all are possible pollutants the series of instructions that tells the hardware how to perform 2. Reflecting on our experiences (both in the workplace, and elsewhere) can help us: Understand what our strengths, weaknesses, and interests are Critically evaluate working environments we find ourselves in Develop out career ideas All of the above Difference Quotient. Correct answer is shown. It says multiply by conjugate but I dont understand what that is and how they did it. TIA Yes, she had changed her mind after sixty years and she would like to see George. I want you to find George. Find him and be sure to tell him I forgot him. I want him to know I had my husband just the same and my children and my house like any other woman. A good house too and a good husband that I loved and fine children out of him. Better than I had hoped for even. Tell him I was given back everything he took away and more.Question:Which two themes does this passage most clearly develop?Choices:A. The past can give us hope; those who wait will be rewarded.B. The mind can play tricks on you; you must determine your own self-worth.C. One person's trash is another's treasure; seeking revenge leads to disaster.D. The past influences the present what has been lost can be regained. In one (1) sentence what is the feature article all about? Stephen has some money in a box ,if 3/8 of the money is #4.80,how much does he have in the box? HELP ME PLSSS!The graph below have a same shape what is the equation of the red graph?A) g(x)=(3-x)2B) g(x)=3-x2C) g(x)=2-x2D) g(x)=(2-x)2 you are planning for your retirement and have decided the following: you will retire in 35 years and would like to have $8,000 per month as retirement income for 30 years of retirement. you have access to an account that earns a 7% rate of return. a. how much will you need to have when you retire to be able to withdraw the desired $8,000 per month during your years of retirement HELP ASAP PLS 10 points AND BRAINLEST IN ORDER TO MAKE THE LEARNING WORTHWHILE FOR PUPILS, TEACHERS AND PARENTS NEED TO MAKE AN ACTION IN SITUATION Describe what happens between the valence electrons in an Ionic Bond. How is that different from a covalent bond? Evaluate the integral. 17/ (x^3 27) dx Name three deficiency diseases associated with diet and state their causes some 1 help me plz its algebra 1 Write an explicit formula for an, the nth term of the sequence 63,21,7 Watch this video about a river that China is building. Explain how the river will help prevent the negative effects of drought. In your answer, explain any negative effects that you foresee this new river will have on the people or on natural habitats.