40! / 30! = 40*39*38*37*36*35*34*33*32*31
dividing this by 10! 10*9*8*7*6*5*4*3*2*1
= 4*13*19*37*17*11*4*31
= 847,660,528
Answer:
d = 
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 16 , then
- 12 + 8d = 16 ( add 12 to both sides )
8d = 28 ( divide both sides by 8 )
d =
= 
Plugging it in, we get (3)(2)+2y=-12 and 6+2y=-12. Subtracting 6 from both sides, we get -18=2y and dividing by 2 we get y=-9 to get (2, -9) since x is first in the pair
Answer:
Step-by-step explanation:
Parts of the question are missing.
y = a(x-h)² + k is a vertical parabola.
If a is positive, the parabola opens upwards.
If a is negative, the parabola opens downwards.
The vertex is at (h, k)