The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2)?

Answers

Answer 1

Answer:

there are no signs between the x and y and constant

it could be

2x+5y=15

2x+5y=-15

-2x+5y=15

2x-5y=15

for ax+by=c, the equation of a line paralell to that is

ax+by=d where a=a, b=b, and c and d are constants

(for this answer, I'm going to use 2x+5y=15)

given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d

to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant

2x+5y=d

2(4)+5(-2)=d

8-10=d

-2=d

the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15

pls mark me brainlest

Answer 2

Answer:

2x+ 5y= -2

Step-by-step explanation:


Related Questions

Bob needs his refrigerator fixed. The repairman will charge Bob a flat fee of $40 plus an additional $15 for each hour he needs to work on it. Write an equation to represent Bob's cost to repair his refrigerator. Use y for the total cost and x for hours.

Answers

Given:

Fixed fee = $40

Additional fee = $15 per hour

To find:

The equation to represent Bob's cost to repair his refrigerator.

Solution:

Let y be the total cost for x hours.

Additional fee for one hour = $15

Additional fee for x hour = $15x

Total cost = Fixed fee + Additional fee

[tex]y=40+15x[/tex]

Therefore, the required equation is [tex]y=40+15x[/tex].

Fill in the blank with Yes or No. Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15. 1. Is Rectangle A a scaled copy of Rectangle B? 2. Is Rectangle B a scaled copy of Rectangle A? 3. Is Rectangle A a scaled copy of Rectangle C?

Answers

Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

Given

Rectangle A:

[tex]Length = 12; Width = 8[/tex]

Rectangle B:

[tex]Length = 15; Width = 10[/tex]

Rectangle C:

[tex]Length = 30; Width = 15[/tex]

Solving (1): Is Rectangle A a scaled copy of Rectangle B?

To do this, we simply determine the ratio of the length and width of both rectangles;

i.e.

[tex]Ratio = \frac{A}{B}[/tex]

For Length:

[tex]Ratio = \frac{12}{15}[/tex]

[tex]Ratio = 0.8[/tex]

For Width:

[tex]Ratio = \frac{8}{10}[/tex]

[tex]Ratio = 0.8[/tex]

Since both ratios are the same, then this statement is true

Solving (2): Is Rectangle B a scaled copy of Rectangle A?

This is the inverse of (1) calculated above.

Since (1) is true, then (2) is also true

3. Is Rectangle A a scaled copy of Rectangle C?

To do this, we simply determine the ratio of the length and width of both rectangles;

i.e.

[tex]Ratio = \frac{A}{C}[/tex]

For Length:

[tex]Ratio = \frac{12}{30}[/tex]

[tex]Ratio = 0.4[/tex]

For Width:

[tex]Ratio = \frac{8}{15}[/tex]

[tex]Ratio = 0.53[/tex]

Since both ratios are the not same, then this statement is false

A child shot a toy rocket into the air from their playhouse which stood 5 ft above the ground. The rocket rose to 50 ft above the ground and landed on the ground 3.4 seconds later. The path of the toy rocket could be modeled by a quadratic function, , where h is the height of the toy rocket in feet after t seconds. ⦁ What is the practical domain of the function? ⦁ What is the practical range of the function? ⦁ How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

Answers

Answer:

a. 0 ≤ t ≤ 3.4 s. b. 0 ≤ y ≤ 50 ft. c. i. -∞ ≤ t ≤ +∞. ii. -∞ ≤ y ≤ 50

Step-by-step explanation:

a. What is the practical domain of the function?

Since the toy rocket lands on the ground 3.4 seconds later, if the time it starts to fly in the air is time t = 0 and the time it lands is time t = 3.4 s, the practical domain of the function is 0 ≤ t ≤ 3.4 s.

b. What is the practical range of the function?

Since the rocket reaches a maximum height of 50 ft, if the maximum height of the toy rocket is y = 50 ft and it lands on the ground at y = 0, the practical range of the function is 0 ≤ y ≤ 50 ft.

c. How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

i. The theoretical values of t is from is from t = -∞ to t = +∞. So, the theoretical domain is -∞ ≤ t ≤ +∞.

ii. Since the maximum value of the function is y = 50, and it also decreases to y = -∞. So, the theoretical domain is from y = -∞ to y = 50. So, the theoretical range is -∞ ≤ y ≤ 50

5=45 ÷
What is the answer

Answers

45 ÷ 5 = 9

So, 5 = 45 ÷ 9

Distribute 3(x^2+2x)

Answers

Answer: 3x^2 +6x

Explanation: Multiply each term in the parentheses by 3.

Answer:3

3[tex]x^{2}[/tex]+6x

is this what you want?

Step-by-step explanation:

The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?

Answers

Answer:

it was decreased by 67%

Step-by-step explanation:

Answer:

67 %

Step-by-step explanation:

3. The area of a rectangle is 5/8 square foot. The width of the rectangle is 24
feet. What is the length of the rectangle?
a) 25/16 feet
b) 25/5 feet
c) 14 feet
d) 4 feet

Answers

Answer: 14

Step-by-step explanation:

Well, we know that the formula to fugure out area is :Length times Width

We also know that WIdth is 24. So 24 times __ =5/8.

Now, how do you figure out __? Well, let's first replace that as a variable to make it easier. Let's choose: x   Now, we know that:

x * 24 = 5/8.

To figure out x, we need to do 5/8 divided by 24, right?  When you solve that, the answer would be 15. The closest is 14, so I think the answer is 14.

i need help with this​

Answers

B is the answer ...............

Answer:

answer is A

Step-by-step explanation:

This symbol is called a tilde. In symbolic logic (a field of math  

used a lot in computer sciences) it is used to denote "not." For  

example, ~A means "not A." In some other contexts, it means  

"approximately." For example, pi ~= 3.1416. (Note that sometimes it is  

written above the equal sign, and sometimes it is used without an  

equal sign - it depends on the situation and the publisher.)

I’ll mark brainliest

Evaluate the following expression for

m= -3
N= 4
P= 2

Answers

(4) / (2) + (-3)

4/2 - 3

4/2 - 3/1 ( 3/1 multiply by 2 to make denominators same ok )

4/2 - 6/2

-2/2 ( simplify )

-1 is the answer

what is the distance between 1/4 and 3 1/16?

Answers

Answer:

2 13/16

Step-by-step explanation:

3/16 - 1/4

What is the slope of the line that contains these points?
Pls help

Answers

Answer:

-1

Step-by-step explanation:

m=y2-y1/x2-x1

-6-(-5)=(-1)

6-5=1

-1/1=(-1)

hope this helps :3

if it did pls mark brainliest

question.



Contrast the plate movements that cause the stresses in diagrams B and C How did geography affect the way Greeks made their livings?

Answers

Answer:

1. Greece made most of their living from the sea.

2. They became fishers and sailors to get food.

3. On their peninsula they had many different ways to trade with other countries.

4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.

5. Since Greece's sea's are dived from one another, it make trading fiercely independent.1. Greece made most of their living from the sea.

2. They became fishers and sailors to get food.

3. On their peninsula they had many different ways to trade with other countries.

4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.

5. Since Greece's sea's are dived from one another, it make trading fiercely independent.

If you teach me how to mark brainlest i will mark you brainlest and you will get 20 points.

Answers

Answer:

tab on it.

Step-by-step explanation:

What property justifies 4x=7

Answers

Answer:

x=1.5

Step-by-step explanation:

Answer:

exact form x=7/4

decimal form x=1.75

mixed number form x=1 3/4

Step-by-step explanation:

You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same?

Answers

Answer:

10 trips

Step-by-step explanation:

Let the number of trips to the gym be represented by t

Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.

$20 + $2× t

20 + 2t

Option B is to pay $4 each time you go.

$4 × t

= 4t

After how many trips to the gym will the cost be the same?

Option A = Option B

20 + 2t = 4t

Collect like terms

20 = 4t - 2t

20 = 2t

t = 20/2

t = 10 trips.

After 10 trips, the gym cost will be the same.

Please help me answer this question!

Answers

Answer:

D. -3 and 3

Step-by-step explanation:

We are given an output of 2. This means this is the value we need an input for. We need to find a number(s) that lie on the x axis and when we move up, you get an output of 2.

Option A:

If we are given an input of -2, we start at (-2, 0) and move up until we reach a point on the line. We end up lying on the point (-2, 3). Thus, the output for having an input of -2 is 3 which proves that this answer is incorrect.

Option B:

As stated above -2 has an output of 3 which is wrong. Since we know this, we can eliminate this as an option.

Option C:

If we are given an input of -3, we start at (-3, 0) and move up until we reach a point on the line. We end up lying on the point (-3, 2). Thus, the output for having an input of -2 is 2 which proves that this answer is correct.

Option D:

We know that -3 is a possible input so we just need to check 3 as an input.

If we are given an input of 3, we start at (3, 0) and move up until we reach a point on the line. We end up lying on the point (3, 2). Thus, the output for having an input of 3 is 2 which proves that this answer is also correct.

Since we know that -3 and 3 are possible inputs for an output of 2 on the graph, we need to include them both in our answer. Thus, the answer is D.

Best of Luck!

Nick's phone bill is $50 per month plus $0.25 for every text message. If his bill was $108 this month, how many
text messages did he send?

Answers

Answer:

232 text messages

Step-by-step explanation:

108 - 50 = 58

[tex]58 \div .25[/tex]

232 text messages

Yw :)

232 texts
108-50=58
58/.25=232

Please find X. I need help!

Answers

There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have

2/3 = (2 + x) / (3 + (x + 7))

Solve for x :

2/3 = (2 + x) / (10 + x)

2 (10 + x) = 3 (2 + x)

20 + 2x = 6 + 3x

14 = x

The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²

Answers

Answer:

Step-by-step explanation:

Lateral surface area of cube = 4a²

4a² = 400

   a² = 400÷4

  a² = 100

 a = √100 = √10*10

a = 10 cm

Total surface area = 6a²

                               = 6 * 10²

                               = 6* 100

                               = 600 cm²

Answer:

A

Step-by-step explanation:

I believe that I did this before.

Estimate 4.8 x 4.15.

Answers

Answer:

19.92

Step-by-step explanation:

4.8 x 4.15

Answer:

20 is the correct answer.

Step-by-step explanation:

Given f(x) = -2x - 1, solve for x when f(x) = -7

Answers

-2(-7) - 1
14-1

ANSWER: 13

if 3/8 of a pizza cost $5, how much would a full pizza cost? (Be sure to write your answer in the form of money) ​

Answers

$13.35 rougly around that

(3-x)3y math homework pleassee help!! Also please include explanation

Answers

Answer:

9y - 3xy

Step-by-step explanation:

3y(3 - x)

Distribute;

3y*3 - 3y*x = 9y - 3xy

how to know the equation and solve it?​

Answers

Answer:

i added all the values because the total angle of the interior triangle should give 180 °.

What is the distance from point to wx in the figure below?
W
24
Z 10 X
Pro
26
1012
y
O A. 10.5
Ο Ο Ο
OB. 10/3
C. 35
D. 10
O E. 5
O F. Cannot be determined

Answers

Answer:

D. 10

Step-by-step explanation:

Apex

Answer:

Step-by-step explanation:

Its D 10

a line in point-slope form that goes through the points (8,-9) and (-4,15).

Answers

Answer: The answer is 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The equation s =square root 30fd can be used to find the car's speed s in mph given the length d in feet of a skid mark and the friction factor f of the road. Police measured a skid mark of 90 feet on a dry concrete road. If the speed limit is 35mph, was the car speeding? Explain

Answers

Answer:

Yes, the car was speeding the speed limit.

Step-by-step explanation:

The given equation to find the car's speed, s (in mph), is

[tex]s=\sqrt{30fd}[/tex]

where, d is the length of the skid and f is the friction factor.

Police measured a skid mark of 90 feet, so d=90

As the road is dry and of concrete, therefore the friction factor, f=0.8.

So, the speed of the car

[tex]s=\sqrt{30\times0.8\times90} = 46.48[/tex] mph

The speed of the car is 46.48 mph which is more than the speed limit of 35 mph.

Hence, the car was speeding the speed limit.


When substances go through chemical changes, which of the following will always happen?
OA. One or more substances will be completely destroyed.
OB. Exactly one new substance will form and one will be destroyed.
OC. One or more substances with different chemical properties will form
OD. A gas will form or a white solid will precipitate.

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Just remember this:

Mass can neither be created or destroyed

The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.

Answers

We have
tan 12.5 = 60 / adj rearrange as
adj = 60 / tan 12.5 = about 270.64 m

Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Using Pythagoras :

SOHCAHTOA

Horizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance

Total horizontal distance = opposite = (d + 0.6) miles

Vertical distance = Adjacent = 2.5 Miles

To obtain the angle of depression, q :

Tanθ = opposite / Adjacent

[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]

[tex] tan q = \frac{d + 0.6}{2.5} [/tex]

Therefore, q can be written in terms of d thus ;

[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Learn more : https://brainly.com/question/17350482

Jamal needs to dig a ditch 15 yards long.
Jamal digs 7 yards in the morning and
another 3 yards after lunch. How much is left to dig
more of the ditch is left to dig?

Answers

Answer:

5 yards

Step-by-step explanation:

7y+3y=10yards

15yards-10yards=5yards

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