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
pochemuha
2 years ago
13

Consider the following equation

Mathematics
1 answer:
ser-zykov [4K]2 years ago
6 0

Answer:

The perpendicular line is:

y = 1/3  x + 2/3

Step-by-step explanation:

The given equation can be reduced to its slope-intercept form as shown below:

3x + 9y = 8y - 2

subtract 8 y from both sides

3 x + y = -2

subtract 3 x from both sides

y = - 3 x -2

therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3

We use this slope to find the equation of the line passing through the point (13. 5)

y = 1/3 x + b

passing through (13, 5) means:

5 = 1/3 (13) + b

therefore, we can find b from the above equation

b = 5 - 13/3 = 15/3 - 13/3 = 2/3

Then the equation of this perpendicular line is:

y = 1/3  x + 2/3

You might be interested in
Arthur has a balance of $2330 on his credit card, which he plans to pay off by
dybincka [34]

Answer:

C. $80

Step-by-step explanation:

A. $70

B. $65

C. $80

D. $75

When he pays $70 monthly

Number of months = $2330 / $70

= 33.3 months

When he pays $65 monthly

Number of months = $2330 / $65

= 35.9 months

When he pays $80 monthly

Number of months = $2330 / $80

= 29.1 months

When he pays $75 monthly

Number of months = $2330 / $75

= 31.1 months

The monthly amounts that will allow Arthur to pay off his balance the fastest is $80 per month

6 0
2 years ago
Christian's bill at a restaurant is $840.If Christian's wants to leave a 17% tip, how much tip should he leave?
Ilya [14]
Hey there!


840 = 100%

x = 17%

840/x = 100%/17%

(840/x) * x = (100/17) * x 840 = <span>5.8823529411765
</span>
<span>= 840/5.8823529411765 = 142.80

The correct answer to your question is option C.

The tip Christian should leave is $142.80.

Hope this helps you.
Have a great day!
</span>
5 0
3 years ago
The side length of an equilateral triangle is 6 cm. What is the height of the triangle?
solniwko [45]
Correct me if I am wrong but an equilateral has the same length on each side so wouldn’t it be 6 cm?
3 0
3 years ago
Read 2 more answers
What are the solutions to the following system of equations? Select the correct answer below.
polet [3.4K]
        y = x² - 4x + 8
4x + y = 12

                 4x + y = 12
4x + (x² - 4x + 8) = 12
  x² + 4x - 4x + 8 = 12
                 x² + 8 = 12
                      - 8    - 8
                       x² = 4
                        x = ±2
   4x + y = 12
4(2) + y = 12
     8 + y = 12
   - 8          - 8
           y = 4

    4x + y = 12
4(-2) + y = 12
    -8 + y = 12
  + 8         + 8
           y = 20

(x, y) = (2, 4) and (-2, 20)
7 0
3 years ago
Read 2 more answers
Rearrange the formula:<br> C = 5/9 (F - 32)<br> to make F the subject<br> help
ELEN [110]

Answer:

F = \frac{9}{5} C + 32

Step-by-step explanation:

Given

C = \frac{5}{9} (F - 32)

Multiply both sides by \frac{9}{5} to clear the fraction

\frac{9}{5} C = F - 32 ( add 32 to both sides )

\frac{9}{5} C + 32 = F

7 0
2 years ago
Other questions:
  • The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool
    8·1 answer
  • Estimate by rounding to the nearest hundred.<br>Show your work.<br>12,846 - 3467​
    8·1 answer
  • Jamaal read 1/11 of a book in 2/5 of an hour. At this rate, how long will it take him to read the entire book?
    14·2 answers
  • A student performed the following steps to find the solution to the equation
    14·2 answers
  • What the decimal as a fraction in simplest form ?
    7·1 answer
  • Which geometric term describes the angle tag
    8·1 answer
  • Is this a relation or a function explain your answer
    14·1 answer
  • Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest thousand.​
    8·1 answer
  • Please helpp!!!!!!!!​
    5·2 answers
  • sophia has 100 cookies. she wants to give 15 each among 5 people. can she give 15 cookies among 5 people with her 100 cookies? e
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!