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
Ganezh [65]
3 years ago
11

Write an equation perpendicular to x - 4y = 20 that passes through the point (4, -3)

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:

y = - 4x + 13

Step-by-step explanation:

In order to do this problem you would need a whole new equation, but you will use what is given to you:

instead of going with:

x - 4y = 20

Turn it into y = mx + b form, also known as slope-intercept form:

x - 4y = 20

-x       = -x

_________

- 4y = 20 - x

Then divide both sides by - 4:

\frac{-4y}{-4} = \frac{-x + 20}{-4}

You will then get:

y = \frac{1}{4}x - 5

From this equation we will only need the slope!

m || = \frac{1}{4}

(This slope is for parallel)

but if you want perpendicular to the slope, then we need the negative reciprocal!

Negative reciprocal is a flipped version of the value that is negative, for example:

2 = -\frac{1}{2}

Because \frac{2}{1} = 2

Now we will find the perpendicular slope which is:

m ⊥ = - 4

Now substitute this slope into slope intercept form:

y = mx + b

(-3) = -4(4) + b

(Take away parentheses)

-3 = -16 + b

(Move - 3 to the other side, by making it positive, but what you do to one side, you do to the other)

= -13 + 6

(Move - 13 to the other side, by make - 13 into +13)

+13 = +13

________

13 = b

(This is you b, also known as you intercept)

Your answer is:

y = -4x + 13

You might be interested in
Which pair of angles shares Ray AG as a common side
Anastaziya [24]
BAF and FAD is the answer
4 0
3 years ago
-3=12y-5(2y-7). Solve for y
Yuliya22 [10]
1. distribute the parentheses.
-3=12y-10y+35

2. Move the constants to the other side
-3-35=12y-10y

3. Subtract the terms
-38=2y

4. Divide by 2 to get y by itself
y=-19
4 0
2 years ago
Read 2 more answers
Each of 28 students in Romi’s class raised at least $25 during jump-a-thin. What is the least amount of money the class raised
Anna [14]
28 x 25 = $700

Answer: The class raises at least $700.
3 0
3 years ago
Read 2 more answers
Every morning Jenna runs for 20 min . If Jenna runs 6 miles per hour , how far does she travel
DerKrebs [107]
20 minutes* (1 hour/ 60 minutes)* (6 miles/ 1 hour)= 2 miles.
(Note that the units cancel out so you end up getting the answer)

The final answer is 2 miles~
6 0
3 years ago
I am arranging my dog's collars on a 6 hanger coat rack on the wall. If she has six collars, how many ways can I arrange the col
Irina18 [472]

Answer:

720 ways to arrange

Step-by-step explanation:

Use the factorial of 6 to find this solution.  Namely, 6!

This means 6*5*4*3*2*1 which equals 720

It seems like a huge number, right?  But think of it like this:  For the first option, you have 6 collars.  After you fill the first spot with one of the 6, you have 5 left that will fill the second spot.  After the first 2 spots are filled and you used 2 of the 6 collars, there are 4 possibilities that can fill the next spot, etc.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the following inequality.
    12·2 answers
  • How many triangles can be constructed with angles measuring 35º, 62º, and 83º?
    15·1 answer
  • Jackson can lay 6000 ft² of tile in 3 h.
    13·2 answers
  • What is the equation of a line passing through (-6, 5) and having a slope of 1/3 ? A. B. C. D. y = 3x + 7
    10·2 answers
  • ....HELP ME PLZ. PLZ TELLM ME THE ANSWER> I REALLY NEED HELP
    11·2 answers
  • HELPPPPPPP plz will mark brainliest and 25 pts
    10·2 answers
  • If you can help please do :)
    5·1 answer
  • PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS! .
    5·1 answer
  • 100 POINTS IF U GET THIS RIGHT!
    8·1 answer
  • Complete the remainder of the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!