The foundation of the house is 13 m x 7 m if the builder increases each dimension by the same amount the area of the foundation will increase to 135 m² find the new dimensions

Answers

Answer 1

Answer:

New dimension:

Length = 15m

Width = 9m

Step-by-step explanation:

Length = 13m

Width = 7m

Area of a rectangle = length × width

New dimensions:

Length = (13 + x)m

Width = (7 + x)m

Where,

x = increase in each dimension

Area of a rectangle = length × width

(13 + x) × (7 + x) = 135

91 + 13x + 7x + x² = 135

91 + 20x + x² = 135

x² + 20x = 135 - 91

x² + 20x = 44

x² + 20x - 44 =0

Using factorization method to solve quadratic equation

x² - 2x + 22x - 44 = 0

x(x -2) + 22(x - 2) = 0

(x - 2) (x + 22) = 0

x = 2 , x = -22

The increase can not be a negative value

Therefore, the increase in the dimensions is 2 inches

New dimensions:

Length = (13 + x)m

= (13+2)m

= 15m

Width = (7 + x)m

= (7+2)m

= 9m


Related Questions

which two estimates is the quotient 345 dived 8 between

Answers

Answer:

im pretty sure its 43.5

Step-by-step explanation:

will the inequality "7 multiplied by a number is greater than or equal to 21" have an open boundary point or a closed boundary point on the number line?

Answers

Answer:

Closed boundary point

Step-by-step explanation:

It says greater than OR equal too and having a closed boundary will indicate that 21 is apart of the inequality also.

I hope this helps

find the equation of the line that passes through the point (1,8) and is parallel to the line y=3x+6. write the equation using the​ slope-intercept form.

Answers

Answer: can you add the picture?

Step-by-step explanation:

If you're very smart at math, pls help me.

Answers

Answer:

I am not smart at math, but I wanted to try to help you.

Step-by-step explanation:

If the sides of a triangle have the following lengths, find a range of possible values for x.

LM = 6x + 3, MN = 4x - 17, LN = x + 40

Answers

Answer:

The range of possible values of x are;

x > 6

Step-by-step explanation:

To form a triangle, the length of two sides must be greater than the third side

Thus;

6x + 3 + 4x-17 > x + 40

6x + 4x-14 > x + 40

10x-14 > x + 40

10x-x > 40 + 14

9x > 54

x > 54/9

x > 6

Choose the correct answer and rationale. “The prices listed on retail websites...”
a.
...are open to negotiation, because you can email the company.
b.
...are reliable, because you have proof of the advertised price.
c.
...are unreliable, because internet commerce does not have the same regulations as normal commerce.
d.
...are often below the total cost, because they usually do not include shipping charges.

Answers

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

EDGE 2021

The points (3, 0), (x,0) , (x, 1/x2) , and (3, 1/x2) are the vertices of a rectangle, where x≥3, as shown in the figure above. For what value of x does the rectangle have a maximum area?

Answers

Answer:

75 and 76

Step-by-step explanation:

Graph B
Graph
2
0
1 2 3 4 5 6
Time s)
Time (s)
0 1 2 3 4
Time (s)
Based on the graphs, choose True or False for each statement.
a. Graph B shows a proportional relationship
between distance and time.
True False
b. In Graph A, the constant of proportionality
between distance and time is :
True False
c. Graph C shows an object that speeds up over time.
True False
d. The unit rate in Graph B is 2 feet per second.
False
e. An object represented by Graph A is moving faster
than an object represented by Graph B.
True False
108
Lesson 1 Retroportional
DOO
True

Answers

Answer:

can you take a photo of the question and put it on here because I cannot understand what this is, I am really good at math so I probably help you.

Step-by-step explanation:

if you are sitting in a room with ten people and 39% of them leave how many people would be left?

Answers

Answer:

69

Step-by-step explanation:

yes

Answer:

Step-by-step explanation

4-6 people left in the room

✨✨Hope it helps✨✨

Brainliest?.

Which of the following pairs of points are on the same horizontal line?

A(–2, –2) and (2, 2)
B(–2, 2) and (–2, –2)
C(–2, –2) and (2, –2)
D(2, –2) and (2, 2)

Answers

Answer:

d answer is right .....

the answer is A.

(-2, -2) and (2,2)

Rewrite the function by completing the square.
g(x)= x^2-x-6
g(x)- __(x+__)^2+___

Thanks :)

Answers

Step-by-step explanation:

g(x) = x²- x - 6g(x) = x²- 2*1*1/2x + (1/2)² - (1/2)²-6g(x) = (x - 1/2)² - 6 1/4org(x) = (x - 1/2)² - 25/4

Answer:

[tex]g(x) = 1 (x+ -\frac{1}{2} )^{2} + -\frac{25}{4}[/tex]

PLS I NEED THIS TO BE DONE IMMEDIATELY PLS PLS ;-;. which has the greater maximum value: f(x)=-3x^2+6x4, or g(x), the function in the graph

A. f(x)

B. the functions have the same maximum value.

C. g(x)

Answers

Answer:

A.f(x)

Step-by-step explanation:

Sup dude it's been a while since khelcee talked to us.

help please!!!!!!!!!!!!!!!!!!!
Tammy must run more than 82 miles total to reach her fitness goals. She has already run 34 miles and runs 6 miles per day. Which of the following inequalities could be used to solve for x, the number of days Tammy needs to run to reach her fitness goals?
A.
6x > 34
B.
6x > 82
C.
6x - 34 > 82
D.
6x + 34 > 82

Answers

D. 6x + 34 > 82 is the answer

Which ordered pair is a solution of the equation?
y = -3x-4.

Answers

Answer:

B. Only (-3,5)

Step-by-step explanation:

1. Plug in the x values from the answer choices  and see if it gives you the y-value in the answer choices.

A. y=-3(-2) - 4

= 6 - 4

y = 2

The ordered pair for answer A is (-2,4) where the y-value is 4. Well, when you plugged in -2 for x you got 2, not 4. So A can't be the right answer.

B. y=-3(-3) - 4

= 9- 4

y = 5

The y-value in this ordered pair (-3,5) is indeed 5, so this answer holds true.

Therefore, the answer is B because it is the only ordered pair that has the correct solution.

Answer:  Only (-3,5)

Step-by-step explanation:

The equation below describes a proportional relationship between x and y. What is the constant of proportionality? Y=4/7x

Answers

Answer:

the given equation is y=4/7x

reciprocating both sides you get y/x =7/4

now x and y are directly porportional to each other so

x=ky where k is the constant

or x/y=k ......................(2)

equating 1 and 2

k=7/4

Step-by-step explanation:

jasmine ran for 98.4 minutes troughout her she ran at a pace of 8.2 minutes per mile how many miles did jasmine run

Answers

Answer:

12

Step-by-step explanation:

98.4/8.2

12 miles just keep on doing 8.2 + 8.2 till u get to 98.4 which is 12

Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director found that 80 fewer tickets were purchased at the door than before the concert. A total of 520 tickets were sold. Let d represent the number of tickets sold at the door and b represent the number of tickets sold before the concert. Latifa wrote the following system of linear equations to find the number of each type of ticket sold:

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Correct on edge

The first equation in the system of equations that models this situation is x+y=70, where x represents the number of 2-point questions the number of 4-point questions. What is the other equation in the system? Enter the correct answer in the box. Substitute numerical values in the expression for A, B, and C.

Answers

Answer:

2x+4y=150

Step-by-step explanation:

Top answer is right as it is shown in the picture below!

HELPNSHSLAMWJS PLEASE I AM WASTING ALL MY POINTS

Answers

Step-by-step explanation:

1/2×2/2

2/4

2/3×2/2

4/6

Solve for theta to the nearest degree​

Answers

Step-by-step explanation:

So first thing is to determine which trigonometric ratio we use here. Theta is adjacent to 5 and 8 is the hypotenuse, so we should be using Cosine.

So we set up the equation

cos θ = adj/hype

cos θ = 5/8

θ = [tex]cos^{-1} (5/8)[/tex]

θ=51.3178125...

θ=51°

Compute 123 × 45 + 246 × 30 + 369 × 15.

Answers

Answer:

Step-by-step explanation: 123 × 45 + 246 × 30 + 369 × 15.= 18450

Write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-3,1), m=5​

Answers

Answer: y-1=5(x+3)

Work in pic:

Answer:

Yes

Step-by-step explanation:

Pleaseee help!

Marie was trying to show her friend why -3 × -8 equals a positive product. This is what she wrote:

-3 × 0 = 0
-3 × (?) = 0
-3(8) + -3(-8) = 0


-24 + 24 = 0

What should Marie write in place of the question mark?
A. 8 + 8
B. -8 + (-8)
C. 8 + (-8)
D. -8 + 0

Answers

Answer:

C

Step-by-step explanation:

C is the only one that works,.

Answer:

the correct answer is c

If Oni uses all 3 of the $0.44 cent stamps he has, what
is the minimum number of $0.10 stamps he needs to
use?
Ori needed at least $1.47 in postage to mail an
envelope to his cousin overseas. If x represents the
number of $0.44 cent stamps he has and y represents
the number of $0.10 cent stamps he has the inequality
representing the number of stamps he can use to mail
the envelope is 0.44x+0.1021.47
O 1
O2
O 3
05

Answers

Answer: b

Step-by-step explanation: edge 2020

What is the equation in standard form of the line that passes through the point (4, -3) and has a
slope of -1

Answers

Answer:

y=-1x+1

Step-by-step explanation:

A rate in which the second quantity in the comparison is one unitis known as a ______________________.

Answers

Answer:

Unit rate

Step-by-step explanation:

What value of x can you substitute into each of these expressions to give you the same answer?
x + 12
6x - 8
4x

Answers

Answer:

[tex]x = 4[/tex]

[tex]4 + 12 = 16 \\ 6 \times 4 - 8 = 16 \\ 4 \times 4 = 16[/tex]

Step-by-step explanation:

x4

\begin{gathered}4 + 12 = 16 \\ 6 \times 4 - 8 = 16 \\ 4 \times 4 = 16\end{gathered}

4+12=16

6×4−8=16

4×4=16

Which of the following represent an exponential growth function?

Answers

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

Exponential Growth Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential growth function is expressed as:

[tex]C(t)=C_o\cdot(1+r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the (positive) growth rate, expressed in decimal

Since r is positive, 1+r is greater than 1.

From the available options, only the last two of them correspond to exponential functions according to the definition above.

Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.

The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is

[tex]\mathbf{y=3^x}[/tex]

Radha takes some flowers in a basket and visits three temples one by one at each Temple she offer one half of the flowers from the basket if she is left with three flowers at the end find the number of flowers she had in the beginning​

Answers

Answer:

24

Step-by-step explanation:

She visits 3 temples one by one

She offers 1/2 of what she has in the baske

So 1/2 to the first 1/2 of 1/2 to the second =1/4And 1/2 of 1/2 of 1/2 to the third 1/8

She is left with 3 flowers

If she gave 1/2 of what she had left to the 3rd, and the other half was 3

Then it means she gave the 3rd 3 flowers

So 3 is 1/8th of what she had at the beginning

Multiply 3*8 and you get 24

Hope this helps ^_^

Help need as quick as possible thanks :)

Answers

If I read this right,

you put the numbers where the letters go

2 (8) (-4)

since they are in parenthesis, you multiply them.

= -64

Other Questions
What does the word construed suggest the author feels about the Constitution? The Constitution has more value than the rights of the individual people it governs. The Constitution is an infallible document, regardless of interpretations. The Constitution may be interpreted in a variety of ways to benefit the people. The Constitution may be interpreted in a way that would harm the people. please help i will give brainliest what is 50-(20) Which best describes the setting of "The Roller Coaster?1 an amusement park2 a fun ride 3a field trip 4a girls imagination Complete the first step in the solution 4x= 24 4x/ = 24/ What is the world's largest free trade area? Yo if you can help me I'll give brainliest. the excerpt below is from 1892:"the national power to create money is appropriated to enrich bondholders; a vast public debt, payable in legal tender currency, has been funded into gold...thereby adding millions to the burdens of the people."which of the following describes the source of the excerpt above?a.) populist party platformb.) interstate commerce actc.) republican party platformd.) sherman silver purchase act i need help please...asap What was the Souths greatest concern when California applied for statehood? What is the answer to 11121/3 please help fast!!How is an article using the inverted pyramid technique organized?Least important details to most important detailsMost important details to the least important detailsHeadline and summary, then random detailsHeadline followed by details in any order the writer chooses What is the Domain and range of y=(x-1)^2-4 Read the passage from The Pillow Book."Women who have served in the Palace, but who later get married and live at home, are called Madam and receive the most respectful treatment. To be sure, people often consider that these women, who have displayed their faces to all and sundry during their years at Court, are lacking in feminine grace. How proud they must be, nevertheless, when they are styled Assistant Attendants, or summoned to the Palace for occasional duty, or ordered to serve as Imperial envoys during the Kamo Festival! Even those who stay at home lose nothing by having served at Court. In fact they make very good wives. For example, if they are married to a provincial governor and their daughter is chosen to take part in the Gosechi dances, they do not have to disgrace themselves by acting like provincials and asking other people about procedure. They themselves are well versed in the formalities, which is just as it should be.What conclusion can be drawn about the authors point of view in this passage?Women who serve in the court are not graceful. Serving in the palace benefits women later in life.Serving in the palace should be the goal for all women.Women who get married later in life receive the most respecIll give brainliest and 10 points im time i got 3 min Which theme is best supported by the comparison in this passage from My Antonia? The daughters of Black Hawk merchants had a confident, unenquiring belief that they were refined, and that the country girls, who worked out, were not. The American farmers in our county were quite as hard-pressed as their neighbours from other countries. All alike had come to Nebraska with little capital and no knowledge of the soil they must subdue. All had borrowed money on their land. But no matter in what straits the Pennsylvanian or Virginian found himself, he would not let his daughters go out into service. Unless his girls could teach a country school, they sat at home in poverty. The Bohemian and Scandinavian girls could not get positions as teachers, because they had had no opportunity to learn the language. Determined to help in the struggle to clear the homestead from debt, they had no alternative but to go into service. Some of them, after they came to town, remained as serious and as discreet in behaviour as they had been when they ploughed and herded on their fathers farm. Others, like the three Bohemian Marys, tried to make up for the years of youth they had lost. But every one of them did what she had set out to do, and sent home those hard-earned dollars. The girls I knew were always helping to pay for ploughs and reapers, brood-sows, or steers to fatten. Life on the prairie builds strong, healthy people. America is a country built on business. Having a clear goal to help family leads people to succeed. A good father protects his daughters. WILL GIVE BRAINLIEST!!!3. La pelota tienen forma ________.a.) redondab.) redondasc.) redondos Please help with this I do not under stand A can of vegetables is 8 in. high and has a radius of 3 in. Find the volume of the can. TV=3x - 12 and TU=5x-24. What is the value of x? pls answer its for a test grade A gym membership costs $25 per month plus amembership fee of $50. Which equation represents thesituation?