Hey there :)
( a + b )( a² - ab + b² )
Let us distribute ( a + b )
a ( a² ) + a ( - ab ) + a ( b² ) + b ( a² ) + b ( - ab ) + b ( b² )
a³ - a²b + ab² + a²b - ab² + b³
We can simplify further:
- a²b + a²b = 0
ab² - ab² = 0
a³ + b³
You can see in the picture I have attached that this is the
7th formula
To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values.
Line Segment 1: d = √(1 - 2)² + (4 - 8)² = 4.123
Line Segment 2: d = √(18 - 14)² + (12 - 1)² = 11.70
Dividing the answers will give us 0.352
Jax gets 4 packs per month...each pack contains 4 cards...so he gets 16 cards per month.
Sofia gets 3 packs per month..each pack contains 4 cards...so she gets 12 cards per month..
56 + 16m = 68 + 12m
16m - 12m = 68 - 56
4m = 12
m = 12/4
m = 3.....they will have the same number of cards in 3 months
Jax : 56 + 16(3) = 104 cards
Sofia : 68 + 12(3) = 104 cards
and they will both have 104 cards
Answer:
The mode is 10
Step-by-step explanation: