Arlington ISD needs to construct a handicap ramp for one of its new buildings under construction. One point on the construction blueprint for the ramp can be identified by the ordered pair (d, 4d), and another point on the ramp is identified by the ordered pair (3d, 5d). If d is not equal to zero, what will the slope of the handicap ramp be after construction is completed?

Answers

Answer 1

The slope of the handicap ramp is 1/2

The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).

m = (y₂ - y₁)/(x₂ - x₁)

Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).

Substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (5d - 4d)/(3d - d)

m = d/2d

m = 1/2

So, the slope of the handicap ramp is 1/2

Learn more about slope of a line here:

https://brainly.com/question/1617757


Related Questions

The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of the objective function P if P = 180x 250y?.

Answers

The maximum value of the objective function is 3080

The vertices of a feasible region are given as

(14, 2), (0, 9), (6, 8), (10, 3)

The objective function is given as:

[tex]\mathbf{P = 180x + 250y}[/tex]

Substitute the ordered pairs in the objective function

Point (14,2)

[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]

[tex]\mathbf{P = 3020}[/tex]

Point (0,9)

[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]

[tex]\mathbf{P = 2250}[/tex]

Point (6,8)

[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]

[tex]\mathbf{P = 3080}[/tex]

Lastly, we have point (10,3)

[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]

[tex]\mathbf{P = 2550}[/tex]

The maximum value of P is calculated to be 3080.

Hence, the maximum value of the objective function is 3080

Read more about objective functions at:

https://brainly.com/question/11206462

Answer:

3080 is the answer ^

Step-by-step explanation:

Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?

Answers

Answer:

$125 per month

Step-by-step explanation:

Give the simplified radical form for each side length requested.


Pls answer only if you can explain and if your sure it’s the right answer.

I need help in understanding how to work it myself so please make sure you explain well.

Answers

Answer:

See below

Step-by-step explanation:

30×60×90 right triangle has side ratios as:

s : l : h = 1 : √3 : 2, where s- short leg, l - long leg, h - hypotenuse

45×45×90 right triangle has side ratios as:

l : l : h = 1 : 1 : √2, where l- legs, h- hypotenuse

If you know one of the sides its easy to find the missing ones.

a) 30×60×90 right triangle

Given l = 12s : 12 : h = 1 : √3 : 2CB = s = 12 / √3 = 12√3/3 = 4√3 AB = h = 2s = 2*4√3 = 8√3

b) 45×45×90 right triangle

Given l = √22BC = l = √22AB = l√2 = √22×√2= √44 = 2√11

c)  30×60×90 right triangle

Given h = 20√6s : l : 20√6 = 1 : √3 : 2BC = s = h/2 = 20√6/2 = 10√6AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2

Vanessa walks her puppy 12 of a miles in 20 minutes. How far does she walk her puppy in 1 hour?
Show work. (Type answer in word form)

Answers

Answer:

thirty-six of a miles or [tex]36[/tex] miles of a miles <--- I didn't know if you meant regular miles

Step-by-step explanation:

We can convert 1 hour to 60 minutes

[tex]60\div20=3[/tex]

Since it is [tex]3[/tex] [tex]times[/tex] the time and we assume her rate is consistent we multiply 3 by 12

[tex]3\cdot12=36[/tex] of a miles

thirty-six of a miles

Brainliest please :)

Answer:

Vanessa walks her puppy for 36 miles in 1 hour.

Step-by-step explanation:

She walks 12 miles in 20 minutes

1 hour = 60 minutes

There are 3 - 20 minute periods so she walks her puppy 12(3) miles, or 36 miles

-Chetan K

expand the expression, image attached giving brainliest please help

Answers

(2m + n) (2n -m)

2m×2n-2m×m+n×2n-mn

4mn-2m^2 +2n^2-mn

4mn-mn-2m^2+2n^2

3mn-2m^2+2n^2

€1 = £0.85. Change €345 into £.

Answers

Answer:

£293.25

Step-by-step explanation:

If 1 euro is worth 0.85 pounds, the total of 345 euros is 0.85 times the value of a single euro. This is therefore 0.85 * 345, or £293.25.

Marguerite is selling space in an advertisement book for a community fund-raising event. Each (1/5) page in the book costs $13.5. What is the cost for (3/5) page.

Answers

Answer:

$40.5.

Step-by-step explanation:

if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.

100-3x6+5-4= 63? help me its GEMDAS

Answers

Answer:

it's 86

Step-by-step explanation:

100-3x6+5-4

100-15+5-4

85+5-4

90-4

86

Simplify the expression: 5+2a - (9+a)

Answers

Answer:

a - 4

Step-by-step explanation:

[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]

How many decimals in multiplication.

Answers

Answer:

In multiplication of a decimal by a decimal number we will learn how to find the product of a decimal by another decimal.

To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.


There are approximately 4 million births per year in the U.S. Express this quantity in births per minute.

Answers

Answer:

~7.61 births/minute

Step-by-step explanation:

10+ Points)
Which is the graph of a proportional relationship?

Answers

Answer:

A

Step-by-step explanation:

The graph representing a proportional relationship is a straight line graph passing through the origin.

This is shown in graph A

The answer is A i I’m think but not sure

If a Japanese company reported an 8.8 percent increase in net profit from last year’s 426 billion yen, what would be this year’s net profit in yen?

Answers

Answer:

463,488,000,000

Step-by-step explanation:

8.8% = .088

426,000,000,000 * .088 = 37,488,000,000

426,000,000,000 + 37,488,000,000 = 463,488,000,000

PLEASE HELP!!!!! I NEED THE ANSWER SOON
Two systems of equations are shown:



System A System B

3x + 2y = 3 −x − 14y = 1

−2x − 8y = −1 −2x − 8y = −1



Which of the following statements is correct about the two systems of equations?


A.)The value of x for System B will be one-third of the value of x for System A because the coefficient of x in the first equation of System B is one third times the coefficient of x in the first equation of System A.


B.) The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.


C.) They will have the same solution because they represent the same lines when plotted on the coordinate axes.


D.)They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.

Answers

C. They will have the same solution because they represent the same lines when plotted on the coordinate axes

If a triangle has a base of 6 feet and a height of 5 feet, what is the area?

Answers

Answer:

15 square feet

Step-by-step explanation:

a = (1/2)bh

a = (1/2) * 6 * 5

a = 3 * 5

a = 15

15 square feet

12x+3=6 4x+1=2
what is happening in this step of the equation solving process?

Answers

Step-by-step explanation:

12x=6-3

12x=3

12x/12=3/12

x=1/4

4x+1=2

4x=2-1

4x=1

4x/4=14

x=1/4

I you have great day

what would the answer be need help

Answers

Answer:

The equation would change to be f(x) = 12x + 50

Step-by-step explanation:

The equation given follows the form y = mx + b. In the equation, m = the charge in dollars per person, with x representing the amount of people, and b = the initial reservation fee.

This means that if you change the charge per person, the m value will change, and if you change the reservation fee, the b value will change.

Thus, your new equation will be f(x) = 12x + 50

Somebody please help

Answers

Answer:

c/  y=20x

Step-by-step explanation:

What are the places in decimals called.

Answers

Answer: the tenths place

Step-by-step explanation:

help pls <_> my sister needs it

Answers

Answer:

1. 2025

2. 737

3. 1365

4. 866

5. 923

6. 1662

7. 2013

8. 1562

9. 2400

Step-by-step explanation:

These are the answer

plz help me fast Simplify t12/t6

Answers

Answer:

t^6

Step-by-step explanation:

when dividing exponents, you subtract (refer to exponent rule)

t^12 - t^6 = t^6

expand and simplify (x-2)(x-3), please help

Answers

Answer:

hope it helps you

(•‿•).........


Select the values that make the inequality h < 1 true.
(Numbers written in order from least to greatest going across.)

Answers

H = 0 and all negative numbers

help asap for brainlist
Given g(x)=−6x+3, find g(−4). To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

g(-4) = 24 + 3 = 27

Step-by-step explanation:

We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:

g(-4) = -6(-4) + 3, or

g(-4) = 24 + 3 = 27

Answer:

27

Step-by-step explanation:

substitute -4 for x

-6(-4) + 3

24 + 3

27

hope it helps :)

mark brainliest!!

A company that makes​ hair-care products had 8,000 people try a new shampoo. Of the 8,000 ​people, 16 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction

Answers

Answer:

0,2%

Step-by-step explanation:

16 / 8000 = 0,002

0,002 * 100 % = 0,2%

Find the slope of the line graphed below.​ 21 points!

Answers

The answer is 3/2
3 units up and 2 units to the left that is the slope

Answer:

The answer is 1.5

Step-by-step explanation

First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!

Consider the line y=3x-3 .
Find the equation of the line that is parallel to this line and passes through the point(7, 4) .

Find the equation of the line that is perpendicular to this line and passes through the point (7, 4).

Answers

Answer:

4.7

Step-by-step explanation:

. You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If soft drinks in your school cost Php15.75, how many days do you need to save before you can buy the book? * A. 13 B. 14 C. 15 D. 16

Answers

Answer:

B-14

Step-by-step explanation:

Divide 220.50 by 15.75 and you will get 14

Hope it can help you lovelots

(Pythagorean theorem) do the following lengths form a right triangle? (Show steps)

Answers

Answer:

yes

Step-by-step explanation:

Pythagorean theorem equation is a²+b²=c²

c is the longest side which is 5. a and b dont matter in this case

3²+4²=5²

9+ 16 = 25..........simply

25 = 25...............true, these numbers form a right triangle

Will give brainliest if right

Answers

Answer:

the answer is d to the problem

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