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
Kjsfkbkrgrdgtdhnkfljkfytdgsrfefsdf
IRISSAK [1]

Answer:

The answer is: The FitnessGram™ Pacer Test---

If you don't know the meme, it won't make sense. Lol.

7 0
3 years ago
PLEASE HELP, 40 POINTS!!!!!!!!!!!!!!!!!!!
andriy [413]
Eu nu știu engleză fiule
6 0
2 years ago
At president Lincoln's inauguration in 1861, the newspaper headlines. stated there were about 30,000 people in attendance. if th
jek_recluse [69]
34,999 for the largest and 25,001 for the smallest, if you go to that 1 person extreme.
6 0
3 years ago
What is the name of this type of graph?
Lostsunrise [7]
This depends on the equation.
8 0
3 years ago
At which values of x does the function F(x) have a vertical asymptote? Check all that apply. F(x)=2/3x(x-1)(x 5).
Alekssandra [29.7K]

The function F(x) have a vertical asymptote at x =0 and x =1.

Given that

The given Function;

\rm  F(x)=\dfrac{2}{3x(x-1)(x^ 5)}

We have to determine

At which value the function F(x) has a vertical asymptote.

According to the question

The given Function;

\rm  F(x)=\dfrac{2}{3x(x-1)(x^ 5)}

The function is undefined when the denominator becomes 0. Find values of x for which the denominator is 0:

Then,

\rm 3x (x-1) (x^5)= 0

\rm x^5 =0, \ \  x=0\\\\ x-1 = 0, \ \ x =1\\

The value of x is 0 and 1.

Hence, the function F(x) have a vertical asymptote at x =0 and x =1.

To know more about Parabola click the link given below.

brainly.com/question/12868913

7 0
2 years ago
Other questions:
  • Is this equation a monomial, binomial or a trinomial.
    14·1 answer
  • In 4.59 what does the nine stand for?
    13·2 answers
  • The height of a door has a dimension given in feet and inches. Which unit of measure is more accurate?
    10·2 answers
  • Compare the following functions: f(x) = 3 sin(x − π) + 4 g(x) graph of a quadratic with points at 1, 5 and 3, 1 and 5, 5 h(x) x
    10·1 answer
  • Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
    6·1 answer
  • Consider the letters of the word STRIVE are written on individual cards are placed in a box.
    8·1 answer
  • I need help please thank you
    7·2 answers
  • The difference of the two numbers is 1.Their sum is 23.find the numbers
    10·1 answer
  • Ali had his car repaired at Ace Auto. He was charged AED 50 per hour of labor plus AED 150 for parts. His total bill for the rep
    7·1 answer
  • Who needs help<br> because im here tp help im 19
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!