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
Sati [7]
3 years ago
8

How would you define the distance between parallel lines in a plane?

Mathematics
1 answer:
Verdich [7]3 years ago
3 0
This article is about a mathematical relationship between lines. For other uses, see Parallel (disambiguation). "Parallel lines" redirects here. For other uses, see Parallel lines (disambiguation). Line art drawing of parallel lines and curves.

In geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. By extension, a line and a plane, or two planes, in three-dimensional Euclidean space that do not share a point are said to be parallel. However, two lines in three-dimensional space which do not meet must be in a common plane to be considered parallel; otherwise they are called skew lines. Parallel planes are planes in the same three-dimensional space that never meet.

Parallel lines are the subject of Euclid's parallel postulate.[1] Parallelism is primarily a property of affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines can have analogous properties that are referred to as parallelism.


You might be interested in
Given the following two points find the slope. p1(-2,3)and p2(1,0)
Aloiza [94]

Answer

Slope(m) = -1


Step by step explanation

Slope (m) = (y2 - y1)/(x2 - x1)

Here p1 = (-2, 3) and p2 (1, 0)

x1 = -2, y1 = 3, x2 = 1, y2 = 0

Now plug in the values in the slope formula, we get

m = (0 - 3) / (1 - (-2))

m = -3/(1 + 2)

m = -3/3

m = -1

Therefore, slope = -1

Thank you.

8 0
3 years ago
A trampoline has a rectangular jumping surface that is 10.3 feet long and 9.2 feet wide. What is the area of the jumping surface
Maslowich
The area of the trampoline is 94.76 because if you multiply 10.3 and 9.2 you will get the answer
4 0
3 years ago
Will give brainliest answer
natita [175]
A translation by 11 units to the left and 3 units up
4 0
3 years ago
HELP ASAP!!!<br> Find the slope of this equation: <br> 6x+6=−4y
Dmitriy789 [7]

Answer:

the slope is -3/2

Step-by-step explanation:

We need to get the equation in the form

y = mx +b where m is the slope and b is the y intercept

6x+6 = -4y

Divide by -4

-6x/-4 +6/-4 = -4y/-4

-3/2 x -3/2 = y

The slope is -3/2 and the y intercept is -3/2

3 0
3 years ago
Read 2 more answers
PLEASE HELP WITH GRADE 11 MATH. Make sure you show the formula. Substitute values and show all mathematicall operations! show yo
Degger [83]

3x+y

x

​

 

=−3

=−y+3

​

The second equation is solved for xxx, so we can substitute the expression -y+3−y+3minus, y, plus, 3 in for xxx in the first equation:

\begin{aligned} 3\blueD{x}+y &= -3\\\\ 3(\blueD{-y+3})+y&=-3\\\\ -3y+9+y&=-3\\\\ -2y&=-12\\\\ y&=6 \end{aligned}

3x+y

3(−y+3)+y

−3y+9+y

−2y

y

​

 

=−3

=−3

=−3

=−12

=6

​

Plugging this value back into one of our original equations, say x = -y +3x=−y+3x, equals, minus, y, plus, 3, we solve for the other variable:

\begin{aligned} x &= -\blueD{y} +3\\\\ x&=-(\blueD{6})+3\\\\ x&=-3 \end{aligned}

x

x

x

​

 

=−y+3

=−(6)+3

=−3

​

The solution to the system of equations is x=-3x=−3x, equals, minus, 3, y=6y=6y, equals, 6.

We can check our work by plugging these numbers back into the original equations. Let's try 3x+y = -33x+y=−33, x, plus, y, equals, minus, 3.

\begin{aligned} 3x+y &= -3\\\\ 3(-3)+6&\stackrel ?=-3\\\\ -9+6&\stackrel ?=-3\\\\ -3&=-3 \end{aligned}

3x+y

3(−3)+6

−9+6

−3

​

 

=−3

=

?

−3

=

?

−3

=−3

​

Yes, our solution checks out.

Example 2

We're asked to solve this system of equations:

\begin{aligned} 7x+10y &= 36\\\\ -2x+y&=9 \end{aligned}

7x+10y

−2x+y

​

 

=36

=9

​

In order to use the substitution method, we'll need to solve for either xxx or yyy in one of the equations. Let's solve for yyy in the second equation:

\begin{aligned} -2x+y&=9 \\\\ y&=2x+9 \end{aligned}

−2x+y

y

​

 

=9

=2x+9

​

Now we can substitute the expression 2x+92x+92, x, plus, 9 in for yyy in the first equation of our system:

\begin{aligned} 7x+10\blueD{y} &= 36\\\\ 7x+10\blueD{(2x+9)}&=36\\\\ 7x+20x+90&=36\\\\ 27x+90&=36\\\\ 3x+10&=4\\\\ 3x&=-6\\\\ x&=-2 \end{aligned}

7x+10y

7x+10(2x+9)

7x+20x+90

27x+90

3x+10

3x

x

​

 

=36

=36

=36

=36

=4

=−6

=−2

​

Plugging this value back into one of our original equations, say y=2x+9y=2x+9y, equals, 2, x, plus, 9, we solve for the other variable:

\begin{aligned} y&=2\blueD{x}+9\\\\ y&=2\blueD{(-2)}+9\\\\ y&=-4+9 \\\\ y&=5 \end{aligned}

y

y

y

y

​

 

=2x+9

=2(−2)+9

=−4+9

=5

​

The solution to the system of equations is x=-2x=−2x, equals, minus, 2, y=5y=5y, equals, 5.

5 0
2 years ago
Other questions:
  • How to find domain and range on functions
    8·1 answer
  • Perimeter of hexagon with apothem of five
    10·1 answer
  • Simplify the ratio 35:50
    9·1 answer
  • Find x when y=6 in the literal equation 5x +4y =39
    8·2 answers
  • The length of a rectangle is eight more than it’s width the perimeter is 48 inches what are the length and width?
    7·1 answer
  • Factor the expression.
    11·1 answer
  • Write a word problem for this equation $2 x n = $18
    8·1 answer
  • Is the point (-2, 5) a solution to the equation 2x + 5y = 0?
    11·1 answer
  • Plssssssssss i need help
    9·1 answer
  • What is the average rate of change for this quadratic function for the interval fr x=2 to x=4?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!