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
atroni [7]
2 years ago
15

A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be desc

ribed as y = 2/5x− 4. What should the equation of the new route be if it is to be perpendicular to the old route and will go through point (P, Q)?
y − Q = -5/2(x − P)

y − Q = 2/5(x − P)

y − P = -5/2(x − Q)

y − P = 2/5(x − Q)
Mathematics
1 answer:
g100num [7]2 years ago
5 0

Answer:

y - Q = -5/2(x - P)

Step-by-step explanation:

The equation of a line in point slope form is expressed as y - y0 = m(x-x0)

(x0, y0) is the point

m is the slope

Given the equation

y = 2/5x− 4.

Slope m  = 2/5

Slope of the perpendicular line = -1/(2/5) = -5/2

Point;

x0 = P

y0 = Q

Substitute into the formula;

y - y0 = m(x-x0)

y - Q = -5/2(x - P)

This gives the required equation

You might be interested in
Solving using inverse operation 83 + q = 125 q =
Verdich [7]

Answer:

42

Step-by-step explanation:

125 - 83 = 42

strean blueberry eyes by MAX for good grades ;)

4 0
2 years ago
Read 2 more answers
When two objects reach the same time-space coordinates, they generally collide with each other. How is this different from what
nikklg [1K]

Answer:

Waves superimpose upon each other when they collide, while objects do not

Step-by-step explanation:

The main difference between the collision of waves and the collision of objects is simply the superposition principle.

When waves collide, they do not do so in the same way objects do. The superposition principle explains that waves can either collide in a constructive or destructive manner.

Case A: Waves colliding in a constructive manner

When waves collide in a constructive manner, this means that they are in phase, in simpler terms, it means that they have the same shape as they move through space-time. Constructive collision leads to a formation of a bigger wave with a higher amplitude. This is how stereo speakers operate. They produce louder sounds by releasing the same audio waves, causing them to superimpose upon each other.

Case B: Waves colliding in a destructive manner:

When waves are out of phase(i.e do not have the same shape as they move through space-time) and they collide, they try to cancel each other out, leading to a new wave with a weaker amplitude. This is how noise-cancelling headphones work. They emit an equal and opposite wave sound to the noise around your ears, thus cancelling it out.

4 0
3 years ago
155%of 80 is what number
brilliants [131]
Recall that the conversion of 155% to decimal is to divide by 100. Thus, 155%=1.55.

Now, multiply this by 80: 1.55 * 80=124

So our answer is 124.
8 0
3 years ago
Read 2 more answers
What is the value of y?
Romashka [77]

Answer:

y=42

Step-by-step explanation:

y+48+90=180

y=180-138

y=42

7 0
3 years ago
Please please help me !!
stira [4]

Answer:

your answer is (-12,2)

3 0
3 years ago
Other questions:
  • I bought 3 Books my total is 150$ 1 book is 50% more expensive than all of them how much is it
    7·1 answer
  • Stefanie is planning a 610-mile trip. Her car’s EPA rating is 34 mpg on the highway. How many gallons of gas will she require fo
    13·1 answer
  • Need help asap :):):)
    14·2 answers
  • William purchased a new car
    12·2 answers
  • What is absolute value
    8·2 answers
  • The sum of two numbers is 14. If the product of these numbers is 48, what are the numbers​
    5·1 answer
  • Which relation is also a function
    6·1 answer
  • 20 pointsss :)
    9·1 answer
  • PLEASE HELP!!! EXTRA POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • you notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=-12x+300, wher
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!