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

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

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 ^_^

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:

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)

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

Answers

Answer:

Unit rate

Step-by-step explanation:

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°

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

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!

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]

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:

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

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

Answers

Answer:

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

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

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:

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

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

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.

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:

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

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:

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:

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

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

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?.

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:

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

which two estimates is the quotient 345 dived 8 between

Answers

Answer:

im pretty sure its 43.5

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:

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]

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