Answer:
The teams can be placed in 479,001,600 ways.
Step-by-step explanation:
To solve this question, we want to know in how many ways 12 elements can be arranged.
Number of possible arrangements of x elements:
The number of possible arrangments of x elements is given by:
In this question:
12 teams, so arrangment of 12 elements.
The teams can be placed in 479,001,600 ways.
Answer:
Slope of (0,2) and (-8,-8): 5/4
Slope of (-8,-5) and (8,15): 5/4
Both slopes are 5/4
m = 5/4
Step-by-step explanation:
To find the slope:
1. Use the formula .
2. Assign point 1 and point 2
3. State (x₁ , y₁) and (x₂, y₂)
4. Substitute x₁ , y₁, x₂, and y₂ into the formula
5. Solve
Slope of (0,2) and (-8,-8):
Point 1: (0,2) x₁ = 0 y₁ = 2
Point 2: (-8,-8) x₂ = -8 y₂ = -8
Formula for slope
Substituted points
Simplified the subtraction then the negatives
Reduce fraction by dividing top and bottom by 2
First slope
Slope of (-8,-5) and (8,15):
Point 1: (-8,-5) x₁ = -8 y₁ = -5
Point 2: (8,15) x₂ = 8 y₂ = 15
Formula for slope
Substituted points
Simplified the subtraction into addition
Reduce fraction (divide top and bottom by 4)
Second slope