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
Licemer1 [7]
3 years ago
10

Given two points A and B, there is only one segment that you can name: AB. With three collinear points A, B, and C, there are th

ree different segemnts that you can name: AB, AC, and BC. With five colinear points A, B, C. D, and E, how many different segments can you name?
Mathematics
1 answer:
aksik [14]3 years ago
4 0

Answer: 10

Imagine you have 2 slots or boxes that are empty. They represent the possible choices for the letter you pick. For example, you can place B in slot 1 and D in slot 2. There are 5 choices for slot 1 (A,B,C,D,E) and four choices for slot 2. Why 4? Because after we pick the letter for slot 1, we have one less letter to pick from. We can't reuse that letter.

Now multiply those values 5 and 4 to get 20. There are 20 different ways to pick a pair of letters from a pool of 5 total. However, order does NOT matter because the segment AB is the same as BA. Since order doesn't matter, we are doubly counting when we shouldn't. In other words, our count is two times higher than it should be. Instead of 20 pairs, it's actually 20/2 = 10 pairs. That's why the answer is 10.

The list of 10 segments are: {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}

Side note: you can use the nCr combination formula with n = 5 and r = 2 to get the same answer.

You might be interested in
(4x1,000)+(5x100)+(9x10)+(2x1)+(7x1/10) in standard form
Igoryamba

Answer:

4592.7

Step-by-step explanation:

Add them up:

4000 + 500 + 90 + 2 + 0.7 = 4592.7

6 0
3 years ago
Simplify (6x^-2)^2 (0.5x)^4 Show your work<br> PLEASE HELP THANK YOU!
goldenfox [79]

Use Multiplication Distribute Property: (xy)^a = x^ay^a

6^2(x^-2)^2(0.5x)^4

Simplify 6^2 to 36

36(x^-2)^2(0.5x)^4

Use this rule: (x^a)^b = x^ab

36x^-4(0.5x)^4

Use the Negative Power Rule: x^-a = 1/x^a

36 × 1/x^4(0.5x)^4

Use the Multiplication Distributive Property: (xy)^a = x^ay^a

36 × 1/x^4 × 0.5^4x^4

Simplify 0.5^4 to 0.0625

36 × 1/x^4 × 0.0625x^4

Simplify

2.25x^4/x^4

Cancel x^4

<u>2.25</u>

6 0
3 years ago
Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20 respectively.
Sav [38]

Answer:

160

Step-by-step explanation:

n : d : s

8 : 12 : 20

davina = 48 sweets

48/12 = 4

8 + 12 + 20 = 40

40 x 4 = 160 sweets total

5 0
2 years ago
Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 + 4
valentina_108 [34]
Sari did not use the greatest common factor in the equation.
6 0
3 years ago
Read 2 more answers
To multiply two numbers using scientific notation, you would ____ the exponents.
pishuonlain [190]

Answer:

add

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Jonathan has a collection of 400 marbles. Blue marbles make up 17%, percent of his collection. How many blue marbles does Jonath
    15·2 answers
  • How much is Jonah's income tax for the year?
    12·1 answer
  • PLEASE HELP Michael is making cookies each badges is 2 cups of flour he plans to use less than 30 cups of flour for cookies so t
    6·2 answers
  • Which answered describe the shape below ?
    10·1 answer
  • Find the volume of a regular triangular pyramid if it has height h=12 cm, base edge b=10 cm and height of the triangular base hb
    6·1 answer
  • HELP HER WITH MULTIPLY IT AND DIVIDE IT AND COMPARE IT (the number was 27)
    13·1 answer
  • A line has a slope of -7 over four and passes through the point (4, -7 ) What is its equation in slope intercept form
    13·1 answer
  • Help on 4 plz quick also if you can
    9·1 answer
  • Pls help meh
    7·1 answer
  • WILLL GIVE BRAINLESSLT TO WHO ANSWERS
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!