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
MA_775_DIABLO [31]
2 years ago
11

the line y=ax-1 is parallel to the line by-(a+1)x=2. These two lines have the same distance to the origin. find a and b

Mathematics
1 answer:
Levart [38]2 years ago
6 0

By using the parallel condition and the fact that the distance to the origin is the same, we will see that a = 1 and b = 2.

<h3>How to find the values of a and b?</h3>

First, remember that two lines are parallel if have the same slope and different y-intercept.

In this case, we know that

y = a*x - 1

b*y - (a + 1)*x = 2

Are parallel, if we write both of them in the slope-intercept form, we get:

y = a*x - 1

y = (a + 1)*x/b + 2/b

Note that because both of the lines are parallel, the slopes must be equal, then we have that:

(a + 1)/b = a

Then if we know that the distance of both lines to the origin is the same, we have that:

|-1/(√(a^2 + 1))| = | (2/b)/(√(((a + 1)/b)^2 + 1))|

Because the slopes are equal the denominators are equal, this means that:

|-1| = |2/b|

And the y-intercepts must be different, this means that:

b = 2

now we can solve:

(a + 1)/b = a

(a + 1)/2 = a

a + 1 = 2a

1 = 2a - a = a

a = 1 and b = 2.

If you want to learn more about linear equations, you can read:

brainly.com/question/1884491

You might be interested in
Please help me if you can, just click on the photo and you’ll see the question
irinina [24]

Answer:

18.

Step-by-step explanation:

If you divide by something less than 1, it'll wind up being more than what it was before.

7 0
3 years ago
Read 2 more answers
Andrew buys 4 books for the same price, and also a video for $18. His total bill was $110. What was the cost of a book
Jet001 [13]
First you would subtract 18 from 110 and get a result of 92 then divide by 4 and get 23 so each book is 23 dollars hope this helps mark as brainlist
5 0
3 years ago
A small business examines the income of 10 random households to determine if the community will be a good location for a store.
goblinko [34]
The answer is............... B
3 0
3 years ago
Read 2 more answers
Find the area. The figure is not drawn to scale.
jok3333 [9.3K]

Answer:

A = 1/2 (13) ( 9 +9)

A = 1/2 (13) (18)

A = 117

3 0
3 years ago
Which of the following must be true?
Naddika [18.5K]

Answer:

B, it's the only plausible one. A is wrong because the value would be above 180°

5 0
3 years ago
Read 2 more answers
Other questions:
  • If a standard die is rolled twice, what is the probability that it lands on a
    7·1 answer
  • What is 506,709 in word form
    10·2 answers
  • I need help on this question
    11·1 answer
  • Based on the diagram can point D be the centroid of triangle ACF? Explain
    12·2 answers
  • What is the exponential function modeled by the following table? x f(x) 3 8 4 16 5 32 (1 point) f(x) = 2x f(x) = x2 f(x) = x3 f(
    6·2 answers
  • Helppppp mereeeeeeeeeee
    15·1 answer
  • What is the value of f (6) ?
    10·1 answer
  • Find the value of x.
    9·1 answer
  • Olivia was baking. The recipe called for seven cups of flour and three cups of sugar.she already put two cups of flour. How many
    12·1 answer
  • A local art studio offers a new session of drawing classes every 12 days. A competing art studio offers a new session of drawing
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!