Help quick 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)?




A. 2x + 5y = −2


B. 2x − 5y = 18


C. 5x + 2y = 16


D. 5x − 2y = 24

Answers

Answer 1

Answer:

Step-by-step explanation:

The answers is A

Answer 2

The required equation of the parallel track that runs through the point (4 , -2) is  2x + 5y = −2.

The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decided to create parallel tracks through this portion of the railway.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) TO determine.

What is the equation?

The equation is the relationship between variables and represented as y=ax + b  is an example of a polynomial equation.

Equation of the southbound track,
2x + 5y = 15
slope of the above equation is m = -2/5

Since the slope of the parallel lines are equal.

The equation of the parallel northbound track that runs through the point (4, – 2),
(y + 2) = -2/5 (x - 4)
5(y + 2) = -2 (x-4)
5y + 10 = - 2x +8
2x + 5y = 8-10
2x + 5y = -2

Thus, the required equation  of the parallel track that runs through the point (4 , -2) is  2x + 5y = −2.

Learn more about the equation here:

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Related Questions

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Answers

Answer:

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Step-by-step explanation:

Peter says there are two distances for which he and Maria charge the same amount. To prove Peter is not correct, Maria graphs a line for her delivery charges and a line for Peter’s delivery charges. Each line represents the relationship between the amount (y), in dollars, each person charges for a delivery and the distance (x), in miles, each drives for the delivery. Without showing the graph, explain how Maria’s graph of the two lines proves Peter is not correct.

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Answers

X intercept is 4 and y intercept is -4

Factor the expression completely.

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Answers

Answer:

3( 6x-7)

Step-by-step explanation:

18 x − 21

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Answer:

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Answer:

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Step-by-step explanation:

Write the word sentence as an equation. Then solve.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Yes. They have two square roots. Both have the same absolute value but one is positive while the other is negative.

find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7

Answers

Answer:

TSA=115.5cm²

Step-by-step explanation:

T.S.A=3πr²

Given r=3.5cm

eq.

3×22/7×3.5×3.5

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=115.5cm²

Answer:

[tex]19.25cm^{2} \\[/tex]

Step-by-step explanation:

Formula

[tex]\frac{\pi r^{2} }{2}[/tex]

Solve

[tex]\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}[/tex]=

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Are ratios 8:16 and 1:2 equal? Why?

Answers

Because 8/8=1 and 16/8= 2

Answer:

Yes, 8:16 and 1:2 are equal

Step-by-step explanation:

They are both equal to 1/2.

8/16 simplified is 1/2

You can multiply the numerator and denominator to get 8 / 16

1 x 8 = 8

2 x 8 = 16

8/16

1. The video store rented 42 videotapes on
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Answers

Answer:

C. 40

Step-by-step explanation:

average = (42 + 35 + 51 + 32)/4 = 40

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Answer:

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Step-by-step explanation:

Answer:

2.7*10^4 - 3.7*10^3

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

p=57 degrees

Step-by-step explanation:

P and 33 are complementary we know this because of the right angle so set up this equation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

No solution

Step-by-step explanation:

Solving inequalities is similar to solving equations. First let's distribute the 3 with (k-9)

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Answer:

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In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.

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Answers

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

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Answers

Answer:

C

Step-by-step explanation:

27/3=9

Just do cube root of 27.

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{(2,3), (3,4), (5,1), (6,2), (3,3)}

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Answers

Answer:

{(2,3), (3,4), (5,1), (6,2), (7,3)}

Step-by-step explanation:

A relation may or may not represent a function.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

(-3, 1)

Step-by-step explanation:

The line goes down 3 (-3) and to the right 1

(-3, 1)

(Sorry if I am wrong. Please don't get mad)

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Answers

Answer:

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Step-by-step explanation:

-x^2 = -36

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Best of Luck!

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