Answer:
Step-by-step explanation:
I'm going to go way out on a limb here and say that you are probably looking for the equation that goes along with that information. If not, you'll learn something anyway!
The equation that we want to fill in is this one:
![(y-k)^2=4p(x-h)](https://tex.z-dn.net/?f=%28y-k%29%5E2%3D4p%28x-h%29)
where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (since the vertex is directly between the 2). If our vertex is at the origin (0, 0) and the focus is at (-2, 0), first and foremost we need to decide what kind of parabola this is. Remember that a parabola wraps itself around the focus. So our parabola opens to the left (that means that in the end, the equation will be negative, but we'll get there in time). Now we need to determine p, since that's the only "mystery" and everything else was given to us.
p = 2. Filling in the equation:
which simplifies to
and now we solve it for x:
![-\frac{1}{8}y^2=x](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B8%7Dy%5E2%3Dx)
Answer:
720 ways
Step-by-step explanation:
For the first position, there are 10 choices I.e 10 entrants jostling for it.
For the second position, there would be 9 choices
For the third position, there would be 8 choices
Total number of choices = 10 × 9 × 8 = 720 ways
Answer:
= 8n - 11
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
5 - (- 3) = 13 - 5 = 21 - 13 = 8
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 8 , thus
= - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is
f(n) = - 3 + 8(n - 1)
Answer:
yes
Step-by-step explanation:
if your dividing by three it would be cubed or just one it wouldnt work