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
Vanyuwa [196]
3 years ago
8

the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

y = - 3x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 3y = 5 into this form

Subtract x from both sides

- 3y = - x + 5 ( divide all terms by - 3 )

y = \frac{1}{3} x - \frac{5}{3}  ← in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3

Note the line crosses the y- axis at (0, 6) ⇒ c = 6

y = - 3x + 6 ← equation of perpendicular line

You might be interested in
What is the equation of the line graphed below? Write your answer in slope-intercept form. (y = mx + b)
alukav5142 [94]
Y=-2x+10 is the equation
4 0
2 years ago
Read 2 more answers
A video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video
ankoles [38]
Answer:

24 video games

Step-by-step explanation:

Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.

We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54

To find the number of video-games that will cost same for both options, we will equate both expressions as:

4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54


Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.
3 0
3 years ago
Two turtles race. The speed of the first is 4 1/ 2 inches per minute and the speed of the other is 5 inches per minute How far a
RSB [31]

Answer:

(a) 1.5 inches

(b) 2.5 inches

(c) 5 inches

Step-by-step explanation:

speed of first turtle = 4 1/2 inches per  minute = 9/2 inches per minute

speed of the second turtle = 5inches per minute

distance = speed x time

(a) Distance traveled by first turtle in 3 minutes

s = 9/2 x 3 = 13.5 inches

distance traveled by second turtle in 3 minutes

s' = 5 x 3 = 15 inches

So, the gap is

s'- s = 15 - 13.5 = 1.5 inches

(b) Distance traveled by first turtle in 5 minutes

s = 9/2 x 5 = 22.5 inches

distance traveled by second turtle in 5 minutes

s' = 5 x 5 = 25 inches

So, the gap is

s'- s = 25 - 22.5 = 2.5 inches

(c) Distance traveled by first turtle in 10 minutes

s = 9/2 x 10 = 45 inches

distance traveled by second turtle in 10 minutes

s' = 5 x 10 = 50 inches

So, the gap is

s'- s = 50 - 45 = 5 inches

6 0
3 years ago
Y = 3 <br><br><br> X intercept : ________<br> Y intercept : ________<br> Slope: ________
erik [133]
Y = 3 will be a straight, horizontal line on 3. It will only touch the y-axis since there's no x. So, the X-Intercept doesn't exist, the Y-Intercept will be (0,3), and the slope of the line is 0.
8 0
3 years ago
Which ratio is equivalent to the scale 3 in. :1 ft?
poizon [28]

Answer:

4:1

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Which is an equivalent ratio to 7:5? 14:12 21:10 21:15
    8·2 answers
  • Complete the solution of the equation. find the value of y when equals -1.<br><br> -2x-5y=-13
    7·1 answer
  • How do I solve this repeating decimal
    11·1 answer
  • An alligator is 6.6feet how long is his tail
    7·1 answer
  • Calculate the volume of a cylinder of height 7 cm and radius 4 cm (take π)​
    8·1 answer
  • Please help I need to finish this. Please just give me the answer.
    5·1 answer
  • to celebrate the end of the school year, Gabby and her friends go out for pizza. the total bill is $37.84. if the 4 people split
    11·1 answer
  • Prove algebraically that the recurring decimal 0.472 can be written as<br> 17<br> 36
    11·1 answer
  • What is the value of x? <br> A) 3 <br> B) 6 <br> C) 8 <br> D) 1
    13·2 answers
  • Step 1: Using one-step equations to solve problems.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!