Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank
1. 1. Complete the transformation statement for moving Paul’s pole barn, (x,y) (x+ fill in the blank, y + fill in the blank)
2. Draw the new location of the pole barn on the graph below. Note that the stock tank is located at the origin
3. How far is it from the old location to the new location? (Hint: use the distance formula

Answers

Answer 1

Answer:

Step-by-step explanation:

(x,y) ↦ (x+130, y-105)

original position of SE corner: (-50,25)

new position of SE corner: (80,-80)

distance = [tex]\sqrt{(80-(-50))^{2}+(-80-25)^{2} }[/tex]≅167.1 ft


Related Questions

Triangle RST has vertices R(-3,2), S(0,-5),and T(4,5).When translated R’ has coordinates (4, 1). Find the coordinates of S’ and T’.

Answers

C bc I just did dis text

Which statements for 63.372 are true? Check all that are true. The digit 2 is in the thousandths place. The digit 7 is in the hundredths place. The digit 7 is in the thousandths place. The digit 3 is in the tenths place. The digit 2 is in the tenths place. please help with this question

Answers

Answer:

sorry

Step-by-step explanation:

sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..

Mhanifa please help!! I will mark brainliest. Random answers will be reported

Answers

Answer:

[tex]\sqrt{h^2 + k^2}[/tex]

Step-by-step explanation:

Point O has coordinates (0, 0) B has coordinates (h, k)C has coordinates (h, 0)

Use the distance formula to find the length of OB:

OB = [tex]\sqrt{(h-0)^2 + (k-0)^2}[/tex] = [tex]\sqrt{h^2 + k^2}[/tex]

The area of the parallelogram is 315 square units. What is the height of the parallelogram?

Answers

Answer:

h = 15 units

Step-by-step explanation:

A = bh

315 = 21h

h = 315/21

h = 15

Answer:

15 sq. units

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

police chase a car. police are originally 5 miles behind. if the police car's speed is 90 mph and the car they chase is moving with a speed of 80 mph. how long will it take them to catch up?

Answers

Step-by-step explanation:

Let x be the number of hours for

the police to catch up to the car.

We have 90x = 80x + 5.

=> 10x = 5

=> x = 0.5.

Hence it will take them 30 minutes.

Questions:
1. If the run of a ramp increases and the rise stays the same, how does the slope of the ramp change?

Answers

There is an exponential growth therefore the slope rises.

9514 1404 393

Answer:

  slope decreases

Step-by-step explanation:

The slope of a ramp is directly proportional to the rise and inversely proportional to the run. When the run increases, the slope decreases.

A (3,2) y b (2,-1) pasa por los puntos

Answers

=================================

Answer:

In the images is the graph of the line that passes through points A (3,2) and B (2, -1)

Also the equation of the line is y = 3x-7

Use two different applications Geogebra and Desmos

================================

Respuesta

En las imágenes está la gráfica de la recta que pasa por los puntos A(3,2) y B(2,-1)

Además, la ecuación de esa recta es y=3x-7

Use dos aplicaciones distintas Geogebra y Desmos

================================

Define/explain the Pythagorean theorem.

Answers

Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Step-by-step explanation:

Answer:

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

Find the lcd between 1/6 and 2/9. Show your work.

Answers

The least common denominator is 18.

1/6 × 3/3 = 3/18
2/9 × 2/2 = 4/18

Pls help me this is 7th grade (ADVANCED)

Answers

Answer:

Step-by-step explanation:

Any line will add up to 180 degrees. If you subtract the 165 degrees from 180 (total), you will get the x value.

180 - 165 = 15 degrees

PLEASE HELP ME QUICKLY PLEASE SOMEBODY I WILL GIVE BRAINLIEST

Answers

Answer:

.

Step-by-step explanation:

Write an
algebraic expression for the situation.
34 divided by a number m

Answers

Answer:

34 div 68m??

Step-by-step explanation:

Answer:

answer = 34 / m

Step-by-step explanation:

Usually there would be another number or variable to write an algebraic expression, but if this is the only information given, then this would be the answer

What was Dakota’s height?

Answers

Answer:Um her height is 5′ 4″

Step-by-step explanation:

Dakota height is 5’4 i believe. If not my bad

4. MARBLES Virginia's
mother gave her marbles for
her birthday. Virginia lost 13
of them. If she has 24 marbles
left, write and solve an
equation to find how many her
mother gave her.

Answers

Answer:

37

Step-by-step explanation:

If she has 24 left, and lost 13, you add 13 and 24 to find the original amount.

Virginia's mother gave her 37 marbles for her birthday.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Virginia's mother gave her marbles for her birthday.

Let number of marbles = x

Here, Virginia lost 13 of them and she has 24 marbles left.

So, We get;

⇒ x - 13 = 24

Solve for x;

⇒ x = 24 + 13

⇒ x = 37

Thus, Virginia's mother gave her 37 marbles for her birthday.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

What is the smallest possible value x could take given that it must be an integer?
x>−3

Answers

Answer:

The smallest possible value that x could take is -2.

Step-by-step explanation:

Integer values:

Integer values can be either positive or negative, with no decimal parts. The integer set is given by:

{...,-3,-2,-1,0,1,2,3,....}

x>−3

We want the first integer on the number line that is greater than -3. This is -2.

So the smallest possible value that x could take is -2.

The ratio of tomatoes to pepper plants in the garden is 5:2. If there are 6 more tomato plants than pepper plants, how many pepper plants are in the garden?

Answers

The ratio from tomatoes to pepper plants is 5:2

Meaning there are 5 tomatoes and 2 pepper plants

In order to find a ratio where there are 6 more tomatoes than pepper plants you will have to multiply.

-----

When the ratio 5:2 is multiplied by 2

it equals 10:4

We can stop here because it is shown that now there are 6 more tomatoes than pepper plants.

-----

So there are:

10 tomatoes

and

4 pepper plants!

Lavilla is a famous resort in Italy. All of its rooms are always booked in the winter season. On average, 2800 skiers come to the resort every week (7 days). On average, skiers stay in Lavilla for 4 days. Each skier spends $40 daily in local restaurants. Question 1 (1 point) The average number of skiers in Lavilla is: _____________ [skiers].

Answers

Answer:

The average number of skiers in Lavilla are 1,600 skiers

Step-by-step explanation:

The number of skiers that come to Lavilla on average each week = 2,800 skiers

The number of days each skier stays in Lavilla = 4 days

The amount each skier spends in local restaurants daily = $40

According to Little's Law, we have;

L = λ·W

Where;

L = The average number of skiers in Lavilla

λ = The effective arrival rate of the skiers = 2,800 skiers per week arrive

W = The number of days each skier stays at Lavilla = 4 days = 4/7 week

The average number of skiers in Lavilla, 'L', is therefore, given as follows;

L = 2,800 skiers/weel × (4/7) week = 1,600 skiers

The average number of skiers in Lavilla, L = 1,600 skiers

Please answer all of them
If 3 hippos eat 5 pumpkins, how many pumpkins per hippo is that?0.6 pumpkin per hippo
If there are 9 hippos, how many pumpkins do you need?
If 3 hippos eat 5 pumpkins, how many hippos per pumpkin is that?
If you have 30 pumpkins, how many hippos can you feed?

Answers

I think the answer is 57

A triangle has a base of 4x+2 and a height of x+4. Find the area.

Answers

Answer:

15 height

Step-by-step explanation:

Answer:

2x^2 + 9x + 4

Step-by-step explanation:

To find the area of a triangle, use the formula, 1/2 · base · height = area.

If we plug the given expressions into the formula, we get

1/2(4x+2)(x+4)

Which simplifies to

(2x+1)(x+4)

=2x^2 + 9x + 4

Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 19 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 21 with a standard deviation of nine. Is the mean age of entering prostitution in Canada lower than the mean age in the United States

Answers

Answer:

Step-by-step explanation:

The null and the alternative hypothesis is:

[tex]H_o: \mu_c \ge \mu_{us}[/tex]

[tex]H_a : \mu_c < \mu_{us}[/tex]

The t- student test statistics can be computed as:

[tex]t = \dfrac{x_c- x_{us}}{\sqrt{\dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us}^2}{n_{us}} }}[/tex]

[tex]t = \dfrac{19- 21}{\sqrt{\dfrac{7^2}{100} + \dfrac{8^2}{130} }}[/tex]

t = -2.017  

degree of freedom = (n₁ - 1) + (n₂ - 1)  

= (100 - 1) + (130 - 1)

= 228

Using the data of t-value and degree of freedom;  

The P-value = -0.224

Decision rule: Do not reject the null hypothesis if the p-value is greater than ∝(0.01)

Conclusion: We reject the null hypothesis since the p-value is less than ∝.

Therefore, there is enough evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United States.

a spider spins a web in the following way it starts at sea level (0)
it moves up one inch in the first minute
it moves down two inches in the second minute
it moves up three inches in the third minute
it moves down four inches in the fourth minute
Assuming that the pattern continues, what will the spiders elevation be after an haour has passed?​

Answers

Answer:

Step-by-step explanation:

Which expression is equivalent to 6(3c-4)-2(5c-1)

Answers

Answer:

Step-by-step explanation:

8c−22

Answer:

8c−22

Step-by-step explanation:

WILL MARK BRAINLYIST use the figure to determine each angle measure

Answers

Answer:

1. 60  2. 65  3. 115  4. 55  5. 120  6. 60

Step-by-step explanation:

Hope it helps!

find the solution
[tex]3(2x + 12) = 6(x + 6)[/tex]

Answers

Infinite Solution - The equation are the same

Need help with math points and brainlest

Answers

Answer:

22.5 cm

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

13.5 / 9 = x / 15

What is the solution to this equation?
x + 14 = -6

Answers

Answer:

x = -20

Step-by-step explanation:

pls help
the answer choices for the first one is.. added , subtracted
the second one is.. added , subtracted
the third one is.. added , subtracted

tysm <3 i’ll mark brainliest

Answers

i’m pretty sure it’s added, subtracted, added !

what is the solution to the equation x - 3.9 = 12.4

Answers

Answer:

16.8

Step-by-step explanation:

equation: x - 3.9 = 12.9

add 3.9 to 12.9

answer is 16.8

Select the words that are spelled correctly.

angal

chuckle

barral

sandal

woolen

listan

Answers

chuckle, sandal , woolen

Working alone, it takes Stephanie seven hours to clean an attic. Shayna can clean it in 12 hours. How long would it take them to clean the attic working together?

Answers

It will take them 19 hours to clean the Arctic together:)
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