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
marta [7]
3 years ago
5

Three points are collinear.

Mathematics
2 answers:
dangina [55]3 years ago
7 0

Answer:

Three points are collinear if they belong to the same line. Also if their Determinant equals zero.

Step-by-step explanation:

Suppose we have A (-6, 2) B(-3,-1) and D(-5, 1). Are they collinear?

Well, let's plug in the values in a Matrix and then calculate its Determinant this way:

Plug ig the values for x, y and complete it with 1 in the 3rd column.

\left[\begin{array}{ccc}x&y&1\\&&1\\&&1\end{array}\right]

Applying:

Det=\left[\begin{array}{ccc}-6&2&1\\-3&-1&1\\-5&1&1\end{array}\right]=0

Doing the calculation, the Determinant equals zero, what gives us an Analytical Geometry proof of its collinearity.

il63 [147K]3 years ago
3 0
If they are in the same line yes. If they aren't then its considered non-collinear.
You might be interested in
Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walk
tino4ka555 [31]

Answer:

total amount donated when aaron walks n miles = $2 + $3(n-1)

Step-by-step explanation:

Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.

Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.

total amount sponsor pays = base donations + (additional miles walked after first mile x amount paid)

when Aaron walks 8 miles

additional miles = 8 - 1 = 7

23 = 2 + 7x

23 - 2 = 7x

x = 3

additional amount paid is $3

total amount donated when aaron walks n miles = $2 + $3(n-1)

5 0
3 years ago
Solve the following system by graphing.<br> Y =<br> 2 + 5<br> y = -x-1
Klio2033 [76]

Answer:

Step-by-step explanation:

2x + 5 = -x  - 1

3x + 5 = -1

3x = -6

x = -2

y = 2 - 1

y = 1

(-2, 1)

4 0
3 years ago
Help me i’m stressed
Aleks04 [339]

Answer:

<h3>m∠1 = 41°</h3><h3>m∠2 = 41°</h3>

Step-by-step explanation:

<h3>m∠1 = m∠2</h3>

{(6x + 11)}^{o}   =  {(10x - 9)}^{o}  \\ 11 + 9 = 10x - 6x \\ 20 = 4x \\  \frac{20}{4}  =  \frac{4x}{4}  \\ 5 = x \\

x = 5°,

m∠1 = (6x + 11)°

{(6x  + 11)}^{o}  \\ 6(5) + 11 \\ 30 + 11 \\  {41}^{o}  \\

5 0
2 years ago
What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?
tia_tia [17]
The answer is (5, -4).
4 0
3 years ago
What is the domain of the function y = StartRoot x EndRoot?
andriy [413]

Answer:

Step-by-step explanation:

D

5 0
3 years ago
Other questions:
  • Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
    10·2 answers
  • What information can be used to compare linear<br> relationships? Explain why.
    10·2 answers
  • 1. Use both methods to find the distance between the points on the number line. Method A: Count the number of units between the
    7·2 answers
  • Sarah and George went on hiking trip over the weekend to Mt.Shasta. On Saturday they hiked 9/12 mile. On Saturday they hike 4/12
    14·1 answer
  • You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the
    10·1 answer
  • Which expression is equivalent 3/4(3x-5)
    15·2 answers
  • A toy company uses a random sample to simulate 10 toys to inspect out of 1,000. The integers 1 to 5 represent toys that are belo
    8·1 answer
  • Whats 12% in a fraction and decimal
    6·2 answers
  • Using transformations
    15·1 answer
  • Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!