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
sukhopar [10]
2 years ago
12

What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x

+y=2?
Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
5 0

Answer:

An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

  • y=\frac{1}{6}x-3

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Given the line

6x+y=2

Simplifying the equation to write into the  slope-intercept form

y = -6x+2

So, the slope = -6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be: -1/-6 = 1/6

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be

y-y_1=m\left(x-x_1\right)

substituting the values m = 1/6 and the point (6, -2)

y-\left(-2\right)=\frac{1}{6}\left(x-6\right)

y+2=\frac{1}{6}\left(x-6\right)

subtract 2 from both sides

y+2-2=\frac{1}{6}\left(x-6\right)-2

y=\frac{1}{6}x-3

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

  • y=\frac{1}{6}x-3
You might be interested in
A 9230-kg truck collides head on with a 1250-kg parked car. The vehicles entangle together and slide a linear distance of 10.6 m
Helen [10]

Answer:

=>By the work energy relation:-

=>W = ∆KE

=>Ff.s = 1/2(M+m)v^2

=>µk x N x s = 1/2(M+m)v^2

=>µk x (M+m) x g x s = 1/2(M+m)v^2

=>v = √[2µkgs]

=>v = √[2 x 0.82 x 9.8 x 10.6]

=>v = 13.05 m/s

By the law of momentum conservation:-

=>Mu = (M+m)v

=>9230u = (9230+1250) x 13.05

=>u = 14.82 m/s

Step-by-step explanation:

3 0
3 years ago
PLZ HELP BRAINLIEST AND 20 POINTS
iris [78.8K]

Answer:

the last set

Step-by-step explanation:

hope this helps :) have a nice day !!

**please let me know if this was wrong**

7 0
3 years ago
The vertices of triangle IJK have coordinates I(−5, −2), J(−5, −4), and K(−4, −4).
AnnZ [28]
The answer is equal to D.
3 0
3 years ago
HIGH SCHOOL GEOMETRY/ ALGEBRA
max2010maxim [7]

Answer:

The ratio of the lateral sides and perimeters = the ratio of square root of their areas

Then, the ratio of the sides and the perimeters is 6:5 or if this is wrong it it is 5:6

if this helps plz mark as brainliest

3 0
2 years ago
Mai made $112 for 8 hours of work.
vodomira [7]

Answer:

18 hours

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please I need some answers
    15·1 answer
  • Find the equation of the line that is parallel to y=3x-2 and that contains the points ( 2,11)
    12·1 answer
  • 7x−5=4y−6 x determine the intercepts of the line
    6·2 answers
  • What is the answer to this question
    15·1 answer
  • What is the greatest common factor of 48 and 64
    8·1 answer
  • To play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped.
    11·1 answer
  • Plz help me well mark brainliest if correct.................
    7·1 answer
  • Y=3/5x+10<br><br> Is it linear
    7·1 answer
  • A truck is carrying 102 bushels of onions, 101 bushels of peaches, and 103 bushels of corn. What is the total weight of the crop
    8·2 answers
  • Given h(x) = 4x + 4, solve for x when h(x) = 0.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!