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
The exam scores of all 500 students were recorded and it was determined that these scores were normally distributed. If Jane's s
Masja [62]
One hundred en six :)))
3 0
3 years ago
2x + 3 = 4x^2<br> completing the square
ch4aika [34]

Answer:

\frac{1+\sqrt{13} }{4}, \frac{1-\sqrt{13} }{4}

Step-by-step explanation:

First, make them on one side of the formula in the form of ax^2+bx+c=0 which is 4x^{2} -2x-3=0

Next, insert the corresponding number in the quadratic formula, \frac{-b+\sqrt{b^{2}-4ac } }{2a}  ,\frac{-b-\sqrt{b^{2}-4ac } }{2a} , and the answer can be calculated.

6 0
1 year ago
Determine how many times larger is 6 x 10^4 than 6 x 10^2
goldfiish [28.3K]

Answer:

100

Step-by-step explanation:

6 . 10^4 = 6 . 10000 = 60000

6 . 10^2 = 6 . 100 = 600

60000 ÷ 600 = 100

8 0
2 years ago
Eight times a number increased by 6 is 62
N76 [4]
8x+6=62

8x=62-6

8x=56

X=56/8

X=7

The answer is 7. Hope this helps!
3 0
3 years ago
Read 2 more answers
What is addition property
n200080 [17]

Answer:

When we add two or more whole numbers, their sum is the same regardless of the order of the addends. The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order. When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

Step-by-step explanation:

there

6 0
3 years ago
Read 2 more answers
Other questions:
  • Out of 45 students 29 went on field trip. Which best represents the percent of the students who do not go on trip?
    9·1 answer
  • Find the product of (x + 5)(x − 5).
    8·2 answers
  • A colony of ants carried away 14 of your muffins that was 2/3 of all of them how many are left
    10·2 answers
  • The table represents the height in meters of a baseball a pitcher threw to another player after a certain number of seconds. Wh
    10·2 answers
  • What is the domain for the function?<br><br> someone please help
    15·1 answer
  • The following dot plots show the numbers of people per table at Kingsley's Bingo Hall on three different nights. Each dot repres
    8·1 answer
  • Solve <br><br> 7x + 4 = 5x + 8 + 2x - 10
    6·2 answers
  • ⦁ Three boxes weighing 128 pounds each and one box weighing 254 pounds were loaded onto the back of an empty truck. A crate of a
    14·1 answer
  • HELP ME PLS IM HELLA DUMB
    13·1 answer
  • The first cube has a side length of 3 units. The second cube has a side length of 5 units. Write an expression that you can use
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!