1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lera25 [3.4K]
3 years ago
6

3. Keenen gets on the train to ride around the park. As he is riding the train the conductorsays that they are going to build a

train crossing ahead. He wants Keenen's help becausehe knows that the train tracks are on the equation 4x +2y 16 and that the crossing will bperpendicular to that equation passing through the point (8, 15). Help Keenen determinethe equation of the line that the train crossing will appear.

Mathematics
1 answer:
Nataly [62]3 years ago
7 0
First, we need to get the slope of the equation of the train tracks. We can transform the given equation into the slope-intercept form.
4x +2y = 16
y = -2x +8

The slope of the equation is -2.

A perpendicular line will have the same slope but the opposite sign.
So, the slope of the line of the train crossing is 2. Since, it will pass through the point (8,15), the slope-intercept form can also be used to solve for the equation.
 y = mx + b

The slope is 2, so m=2. We solve b by substituting the coordinates.
15 = 2(8) +b
b = -11

The equation is now,
y = -2x - 11

Or it can also be expresses as:
2x - y = 11
You might be interested in
PLEASE HELP! THIS IS DUE TOMORROW! Much appreciated.
denis23 [38]

Answer:

Step-by-step explanation:

1a) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.

1b) angle x and angle y are interior angles on the same side of the transversal. Since the lines are parallel, the angles are equal supplementary.

1c) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.

1d) angle x and angle y are alternate interior angles. They are between the parallel lines and alternate sides of the transversal. Since the lines are parallel, the angles are equal.

3 0
3 years ago
Read 2 more answers
Which linear inequality is represented by the graph?
Dovator [93]

Answer:

The answer to your question is   the second choice (y ≥ 1/3x - 1)

Step-by-step explanation:

Process

1.- Find two points of the graph

A (0, -1)

B (3, 0)

2.- Find the slope

m = (0 + 1)/(3 - 0)

m = 1/3

3.- Find the equation of the line

     y - y1 = m(x - x1)

     y + 1 = 1/3(x - 0)

     y + 1 = 1/3x

     y = 1/3x - 1

4.- Find the equation of the inequality

      We need the upper part of the line so the inequality must be

       y ≥ 1/3x - 1

3 0
3 years ago
Find the value of each power?
sweet [91]
1=-8          l
4=100       l
7=?           l
llllllllllllllllllllll
5 0
3 years ago
Read 2 more answers
Sophia vegetable garden is divided into 12 equal sections.She plants carrots in 8 of section .Write two fractions that are equiv
stepan [7]
The unsimplified fraction is 8/12 which can be reduced to 2/3
4 0
3 years ago
Read 2 more answers
EMERGENCY OOF HELP WITH MATH PIZZZ<br><br> 5 + x^2= 2x^2+ 13<br><br> Provide steps and thanks
galben [10]

Answer:

false statement

Step-by-step explanation:

5+x^2=2x^2+13

5+x^2-2x-13=0

-8+x^2-2x^2=0

-8-x^2=0

-x^2=8

x^2=-8

this statement is false for any value of x because the power function with an even exponent is always postive or 0

4 0
3 years ago
Other questions:
  • The ratio between the volumes of two cubes is 125 to 126. What is the ratio between their perspective surface areas?
    11·1 answer
  • Can someone help me with this question please
    11·1 answer
  • Solve for r whats the answer
    9·2 answers
  • Ratio of 2 cups to 10 cups?
    14·1 answer
  • 6) 8,785,000,000 in scientific notation is ?
    7·1 answer
  • Plz help ill give you brainliest for f<br> right answer
    11·1 answer
  • 20% of 37.35 for math
    12·1 answer
  • Salmon is Maria a submarine with situated 800 feet below sea level if it is since 275 feet what is the new position relative to
    10·1 answer
  • A plumbing company charges an initial fee of $50, plus an additional $26 per hour of service. A second company charges an initia
    9·1 answer
  • Use the information below to answer 1–3.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!