Answer:
x=8
Step-by-step explanation:
6x+42=90
6x=48
x=8
Answer:
a) 286
b) 1,037,836,800
c) 285
Step-by-step explanation:
a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:

b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:

c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.
Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:

The answer is the product of their slope is -1.
First, let's break this down. Perpendicular lines are line with opposite reciprocal slopes. Opposite meaning the inverse sign and reciprocal meaning flipped.
For instance,
If a line had the slope of 5, its inverse would have a slope of -1/5.
Now, if we multiply these numbers together,
5 * -1/5 = -1
The 5's cancel out.
This works for any two perpendicular lines
<span>2x+y=8
2x+x-7=8
3x=15
x=5
y=5-7
y=-2</span>