Mathematics High School

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

Help... pls ASAP Fill in the blanks

Answers

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

Time (min)           | 2 |  3 |  4 |   5  |   6 |

Water used (gal) | 8 | 12 | 16 | 20 | 24 |

the sum of renting bowling shoes for $6 and $3 per game

Answers

3x +6b = x
b is the number of bowling shoes you rent

Answer:

9

Step-by-step explanation: 6+3=9

The rent is $9

Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds

Answers

Answer:

12 pounds

Step-by-step explanation:

You have to divide the mass value by 16.

help me please I dont know the answer and I am cleaning the house for my mom​

Answers

17/20 = t + (- 13/20)

t = 17/20 + 13/20

t = 30/20

t = 1.5

Convert 6 4/5 into improper fractions.

32/6
32/5
33/5
36/5

Answers

Answer: 34/5

Step-by-step explanation:

6.8 * 10(2)
*keep in note that "2" is an exponent in this question*

Answers

Answer:

68

Step-by-step explanation:

6.8 × [tex]10^2[/tex]

= 68

Given the functions f(x) and g(x + 2) - 4, what translation(s) to the graph of f(x) is (are) done so that the graph of g(x) is obtained from the graph of f(x)?

Answers

Answer:

my mom calls me I'll be back

is j + 8 = 72 a solution

Answers

j would need to equal 64

One number is 6 less than another number. Their sum is 50. What is the smaller number?

If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?


x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

Please help me I really don't know
The function 1.5x + 0.5y = 12 represents the number of hardcover books x and softcover books y you can buy at a used book sale.
a. solve the equation
b. make an input-output table to find ordered pairs for the function.
c. plot the ordered pairs in a coordinate plane.

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

1.5x+0.5y=12

Step 1: Add -0.5y to both sides.

1.5x+0.5y+−0.5y=12+−0.5y

1.5x=−0.5y+12

Step 2: Divide both sides by 1.5.

1.5x

1.5

=

−0.5y+12

1.5

x=−0.333333y+8

Answer:

x=−0.333333y+8

Help me please:(for brainiest:(

Answers

Answer:

The first equation is -8y

The second equation is -16.2h

Step-by-step explanation:

Hope that helps you out! :)

4y-12y is -8y

-3.7h + h - 13.5h is -16.2h

Urgent!!! What is the solution of the system?

Answers

Answer:

(-38,18)

Step-by-step explanation:

Step: Solvex+3y=16for x:

x+3y+−3y=16+−3y(Add -3y to both sides)

x=−3y+16

Step: Substitute−3y+16forxin2x+5y=14:

2x+5y=14

2(−3y+16)+5y=14

−y+32=14(Simplify both sides of the equation)

−y+32+−32=14+−32(Add -32 to both sides)

−y=−18 Divide both sides by -1

[tex]\frac{-y}{-1} =\frac{-18}{-1}[/tex]

y=18

Step: Substitute18foryinx=−3y+16:

x=−3y+16

x=(−3)(18)+16

x=−38

owen has a collection of nickels and quarters worth $8.10. If the nickels were quarters and the quarters were nickels, the value would be $17.70. Find the number of each coin.

Answers

there are 67 nickels and 19 quarters.Im pretty sure

I need help! please help

Answers

Answer:

B

Step-by-step explanation:

Please mark me brainleist

There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !

Answers

Answer:

304.8 millimeters

Step-by-step explanation:

Answer:

0.003

Step-by-step explanation:

Calculate the composite surface area of the figure !!

Answers

hbu think i can get it done today tho i

Select the correct answer.
Which function is represented by the graph?

Answers

Answer: B

Step-by-step explanation:

ITS D

Step-by-step explanation:

what is the value of x?

Answers

Answer:

x=3

Step-by-step explanation:

Simon bought 3.5 pounds of Beef on sale for $1.25 per pound at HEB. If Simon gave the cashier $10.00, how much change would he receive from this purchase?

Answers

Answer:

5.625

Step-by-step explanation:

Line segment RS has endpoints R(– 2, 4) and S (– 4, – 1). Line segment R''S'' has endpoints R'' (3, – 3) and S'' (5, 2). Name the transformations that map line segment RS to line segment R''S''. reflection over the line y = x, followed by a translation (x, y) → (x + 1, y + 1) rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1) rotation of 90° counterclockwise about the origin, followed by a translation (x, y) → (x + 2, y + 1) translation (x, y) → (x + 1, y + 1), followed by a rotation of 180°counterclockwise about the origin

Answers

Answer:

Rotation of 180° about the origin,

Followed by a translation (x, y) → (x + 1, y + 1)

Step-by-step explanation:

Given

[tex]R = (-2,4)[/tex]

[tex]S = (-4,-1)[/tex]

[tex]R" = (3,-3)[/tex]

[tex]S" = (5,2)[/tex]

Required

Determine the transformations

From the list of given options (B) answers the question.

Rotation of 180° about the origin,

When a point (x,y) is rotated 180 about the origin, the new point becomes (-x,y)

So:

[tex]R = (-2,4)[/tex]

[tex]S = (-4,-1)[/tex]

becomes

[tex]R' = (2,-4)[/tex]

[tex]S' = (4,1)[/tex]

A translation (x, y) → (x + 1, y + 1)

This implies that 1 is added to the x and y coordinates

So:

[tex]R' = (2,-4)[/tex]

[tex]S' = (4,1)[/tex]

becomes

[tex]R" = (2 + 1,-4 + 1)[/tex]

[tex]R" = (3,-3)[/tex]

[tex]S"=(4 +1,1+1)[/tex]

[tex]S" = (5,2)[/tex]

which one doesn’t belong?

Answers

come to your house to pick it lowest to go with D

Answer:

All of them have different answers so gonna say D because its only one number  

Step-by-step explanation:

Hope this helps

sorry If its wrong

Choose Yes or No to tell whether each value of p is a solution for this inequality.
10p – 8 ≥ 12



0 yes or no

1 yes or no

2 yes or no

3 yes or no





can you answer all 4 of please

​

Answers

1.) No

2.) No

3.) Yes

4.) Yes.

PLEASE HELP ME!!!!
What is the domain and range of the relation shown in the table?

Answers

Answer:

the answer is c

Step-by-step explanation:

good luck

Answer:

last option

Domain: -3,-1,2,5    Range: 0,2,4

It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!

Step-by-step explanation:

The domain is the x values and the range is the y values.

Hope this helps!

Find the difference.

89 – 52.05
A. 36.95
B. 35.95
C. 37.95
D. 37.05

Answers

The answer your looking for is A. 36.95
Just calculate 89-52.05 into a calculator not that hard lol

Someone please help i can’t find the answer.

Answers

Answer:

9

Step-by-step explanation:

Please mark me brainleist

please help
Greater than
Less than
or Equal to

Answers

I think equally tooo

please solve this i need this answer ​

Answers

Answer:

GHC

Step-by-step explanation:

Answer:

the co-interior angle of angle AGH is Angle GHC.

Determine which set of numbers represent the lengths of the sides of a triangle.

A.
15, 12,9
B.
20, 10,9

C.
47, 21, 70
D.
12, 2.2, 14.3

will give brainliest!!

Answers

Answer:

I think its A

Step-by-step explanation:

Please mark brainliest

If the line y = x is flipped over the x axis and made flatter by a factor of 1/2 , write the equation of the new line .
PLEASE HELP

Answers

if the line is flipped you know what to do flip it over

Identify the slope of the table​

Answers

Answer:

The alop is 4. Glad this helps.

Answer:

the slope is 4

Step-by-step explanation:

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