Answer:
1. 19C8 = 75582
2. 19P8= 3047466240
Step-by-step explanation:
First, find the number of ways to get 8 sticks from 19. At first, you have 19 choices, then 18, then 17, all the way to 12. Giving you 19*18*17*...*13*12, or 19!/11!.
Combination:
When order doesn't matter, you have to divide 19!/11! by the number of ways to order 8 sides, or 19!/11!/8!=19C8=75582
Permutation:
When order doesn't matter, you don't have to divide 19!/11! by the number of ways to order 8 sides, since you count each of these, and 19!/11!=19P8=3047466240.
ANSWER
The vertex of the graph of

is

EXPLANATION
The vertex form of a parabola is given by

where

is the vertex of the parabola.
The function given to us is

This is already in the vertex form.
When we compare this to the general vertex form, we have,


and

Therefore the vertex of the parabola is

Hence the correct answer is option A.
We can use the formula y2-y1/x2-x1 to find the answer. Therefore, we would have: 6-(-6)/-2-x equalling -3. So, 12/-2-x = -3. We multiply both sides by -2-x and get 12 = -3(-2 - x), then 12 = 6+ 3x. We then get 6 = 3x, and by dividing both sides by 2 we get x = 2.
Answer:
6
Step-by-step explanation:
Answer: A hexagon has 6 lines of symmetry.