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
Anvisha [2.4K]
3 years ago
5

AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to AB ?

Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

3y + 5x = 0

Step-by-step explanation:

The slope of the line = (y2-y1) / (x2-x1) = (5-0)/(-6-(-3))

= 5 / -3 = -5/3

Using the point-slope form , the line that passes through the origin and parallel to this line is

y - 0 = -5/3(x - 0)

y = -5/3 x

Multiply through by 3:-

3y = -5x

5x + 3y = 0


You might be interested in
Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x
djverab [1.8K]

I'll assume the ODE is

y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}

Solve the homogeneous ODE,

y'' - 3y' + 2y = 0

The characteristic equation

r^2 - 3r + 2 = (r - 1) (r - 2) = 0

has roots at r=1 and r=2. Then the characteristic solution is

y = C_1 e^x + C_2 e^{2x}

For nonhomogeneous ODE (1),

y'' - 3y' + 2y = e^x

consider the ansatz particular solution

y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x

Substituting this into (1) gives

a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1

For the nonhomogeneous ODE (2),

y'' - 3y' + 2y = e^{2x}

take the ansatz

y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}

Substitute (2) into the ODE to get

b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1

Lastly, for the nonhomogeneous ODE (3)

y'' - 3y' + 2y = e^{-x}

take the ansatz

y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}

and solve for c.

ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16

Then the general solution to the ODE is

\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}

6 0
1 year ago
Need help please and thank you
Juli2301 [7.4K]
It would be C because it’s asking you to multiple 3/4 by 3/4 sense there is a 2 exponent. And in order to multiply fractions you multiply across the top and bottom and then simplify. Sense c is already simplified that would be your answer. 3 x 3
4x4 9/16 or c
3 0
3 years ago
What is the mean of the data set that is represented by this data plot?
const2013 [10]

Answer:

90

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
Nataly_w [17]

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

                                            = 59 miles per hour

The Cheetah is faster than the American Antelope

3 0
3 years ago
Need hep on iready please!!!!!!!
Nesterboy [21]

Answer:

3

Step-by-step explanation:

I think its 3 because if its 6 then you divide. it by 2

5 0
3 years ago
Read 2 more answers
Other questions:
  • help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·2 answers
  • Whole note minus 1 half notes minus 2 quarter notes
    7·2 answers
  • Is 2.356... rational or irrational
    14·2 answers
  • A 5-digit combination lock with digits 0-9 can be opened only if a correct combination of digits is chosen. Find the probability
    6·2 answers
  • Sylvia translated the phrase into an algebraic expression and then evaluated it for n=5
    9·2 answers
  • Help which one is it and why?
    5·1 answer
  • Hey! i’ll give brainliest please help!
    15·1 answer
  • identify an equation in point slope form for the line perpendicular to the y=-1/2x+11 that passes through (4,-8). a. y+8=1/2(x-4
    7·1 answer
  • What is 5/8 as a mixed number​
    13·2 answers
  • (System of equations) The difference of two numbers is 3. Their sum is 77. Find the numbers.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!