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
Anastaziya [24]
3 years ago
14

How do you use the slope to prove lines are parallel or perpendicular

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

In order to find if two lines are parallel or perpendicular or neither, following rules are used:

  1. If the slope of two lines is the same, the two lines will be parallel
  2. If the product of slopes of two lines is -1, the two lines will be perpendicular to each other.
  3. If none of the above two conditions is being satisfied, this mean lines are neither parallel nor perpendicular.

So the steps that must be followed are:

  • Find the slope of the given lines.
  • Use the values of the slope to check which of the above point is being satisfied and draw the conclusion accordingly.
You might be interested in
The system of equations shown is solved using the linear combination method
andriy [413]

Answer: When a system of two linear equations gives an answer of 0=0, there are infinitely many solutions. It also means that the graph represents parallel lines, so the answer is the third choice.

Step-by-step explanation: When it comes to systems of equations in algebra, you will see three types of solutions:

1. When you get an exact value & number for x and y, the system has <u>one solution</u> and is consistent/independent.

2. When you get 0=0 like in this case, the system has <u>infinitely many solutions</u> and is consistent/dependent.

3. When you get numbers that are not equal, for example, 3\neq 5, you have <u>many solutions</u> and the system is inconsistent/independent.

4 0
3 years ago
Brainly use a matrix to find the solution to the system of equations -8x-8y=-16 6x-9y=-108
Mama L [17]
We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108

Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2             (1)
Divide the second equation by 3 to obtain
2x - 3y = -36       (2)

In matrix form, the equations are
\begin{bmatrix}1&1\\2&-3\end{bmatrix} \begin{\bmatrix} x\\y\end{bmatrix}=\begin{bmatrix}2 \\ -36 \end{bmatrix}

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5

Use Cramer's Rule.
x =  \frac{1}{D} det(\begin{bmatrix}2&1\\-36&-3 \end{bmatrix} ) =  \frac{1}{-5} (-6+36) = -6
Similalrly, 
y= \frac{1}{-5} det(\begin{bmatrix} 1&2\\2&-36\end{bmatrix} ) = \frac{1}{-5}(-36-4) =8

Answer:  (-6, 8)  or x = -6, y = 8


8 0
3 years ago
Find the least common denominator (LCD) of 5/8<br> and 1/4
Effectus [21]

Answer:

8

Step-by-step explanation:

1. 1/4 × 2/2 = 2/8 (denominator is 8)

2. 5/8 × 1 = 5/8 (denominator is 8)

Therefore, the common denominator is 8.

3 0
3 years ago
Read 2 more answers
Can somebody please help me order the numbers from greatest to least
meriva
|16| , | -15| , |-14|, |13|
3 0
3 years ago
Read 2 more answers
I'm stuck idkdmsjshhdhd
Klio2033 [76]
I hope this helps you



1)


a) 18/50


b) 6.1/3=2


c) 9/2.8/3=3.4=12


2)


1 1/2=1.2+1/2=3/2


3 3/4=3.4+3/4=15/4



if we can 12 muffins with 3/2 cups


how many muffins with 15/4


?.3/2=12.15/4


?=30 muffins


3 0
3 years ago
Other questions:
  • What is the constant of the expression x-3+2/3-y/2
    7·2 answers
  • Determine the value of x. Question 3 options: 1) 2.3 2) 10 3) 2.5 4) 2.11
    7·1 answer
  • ANSWER TO BE NAMED BRAINLIEST GET A THANK YOU AND 5 STAR VOTE FOR YOUR ANSWER
    9·2 answers
  • Are all rhombus squares? Why or why not.
    7·2 answers
  • i need help please i have alot of problems on math and i was hoping you all can help me and explain it to me
    5·1 answer
  • Hi! Okay so I need someone to solve these 2 please! Ty! I will give brainliest!!! :))
    14·1 answer
  • #3 and #4 please. How do you know a sticky note has volume and can you determine the volume of an entire stack by knowing the vo
    7·1 answer
  • What percent of $0.32 = $0.08
    6·1 answer
  • There are 100 students in 7th grade. Of those students 43 of them are in the band. What percentage of the students are in the ba
    8·1 answer
  • A rectangular garden has an area of 6/7 square miles. If its length is 3/5 miles, what is its width?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!