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
Anton [14]
2 years ago
9

Write a formula for the maximum number of segments determined by n points

Mathematics
2 answers:
Debora [2.8K]2 years ago
8 0

⇒Number of Points in the Plane = n

→There are two Possibility

Either All Points are Collinear, that is Lie Along a Line.

Or, They are, Non- Collinear.

To Determine a segment we need two distinct points.

If All "n" Points are Collinear,Distinct Number of Segment=1

If there are two points in plane, number of Distinct Segment

          =_{2}^{2}\textrm{C}\\\\=\frac{2!}{(2-2)! \times 2!}\\\\=1

If there are three points in plane, number of Distinct Segment

          =_{2}^{3}\textrm{C}\\\\=\frac{3!}{(3-2)! \times 2!}\\\\=3

If there are Four points in plane, number of Distinct Segment

          =_{2}^{4}\textrm{C}\\\\=\frac{4!}{(4-2)! \times 2!}\\\\=6

............................................................................................

..................................................................................

⇒So,If Points are Not Collinear,that is there are "n" points in the plane, then Distinct number of Segment

                           =_{2}^{n}\textrm{C}\\\\=\frac{n!}{2!\times (n-2)!}\\\\=\frac{n \times(n-1)}{2}

jeyben [28]2 years ago
7 0
Let n = the number of points
(x-1) + ... (x-x)

The last term will always be 0, when you reach that, stop.

ex. 1pt: 1-1=0
      2pt: (2-1) + (2-2) = 1
      3pt: (3-1) + (3-2) + (3-3) = 3

You might be interested in
Simplify 8-(-5) - 4(-7).<br> О-63<br> оо ООО
Sergeeva-Olga [200]
8- (-5) - 4 (-7) = 41
3 0
3 years ago
Nathan bought a video game for $60. Target is having a sale for 20% off all
anastassius [24]
$60 because he already bought the game but for other game $48
8 0
2 years ago
Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more
vekshin1

Answer:

x+8.95 and x+24.55

Step-by-step explanation:

im not going to do this

3 0
3 years ago
Need help with this
Eva8 [605]

Answer:

the answer is #4

Step-by-step explanation:

<h3>first you multiply the 3&4 witch is 12 then u keep the y and u add the 2&5 then u see that it is #4</h3>
4 0
3 years ago
Dean downloaded 9 apps onto his tablet in 12 seconds. At this rate, how many apps could he download in one minute?(12 seconds =1
Maurinko [17]

Answer:

45 apps

Step-by-step explanation:

1 minute has 60 seconds

If 12 seconds equals to 9 apps

60 seconds equals to x apps

Cross multiplying

x=\frac {60\times 9}{12}=45 apps

Therefore, Dean downloads 45 apps in 1 minute

6 0
2 years ago
Other questions:
  • -4(8n-3)=84 how do i do this
    9·1 answer
  • How many miles will a person run during a 10 kilometer race?
    7·2 answers
  • Wat is the answer from leaat to greatest by -0.3 0.5 0.55 -0.35
    15·1 answer
  • What are the solutions of x²-4x+5=0?<br><br>​
    7·1 answer
  • In a class there are 40 students 30 are boys and what is the percentage of girls ....​
    11·1 answer
  • Football helmets
    6·1 answer
  • Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed.
    12·2 answers
  • Alice grew 24 flowers with 3 seed packets. With 6 seed packets, how many total flowers can Alice have in her garden? Assume the
    11·1 answer
  • The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is amperes when the
    11·1 answer
  • HELP MATH!!! PRE CAL
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!