Answer:

Step-by-step explanation:
The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

where
is the vertex of parabola and p is parabola's parameter.
By the definition,
is the distance from the vertex to the directrix, so

Hence, the equation of parabola is

See attached diagram for the graph of parabola and its directrix.
In vertex form this equation is

Either you can use distributive property or you can add up the numbers in the brackets.
Hopefully that helped! :)
Answer:
Pages 100 and 101
Step-by-step explanation:
Round 201 to 200 (to make it easier).
Divide 200 by 2, because it is 2 pages.
You are left with 100.
100 is one of the pages, but because you rounded down 1 number, the other number must be 101, because the pages are back to back.
I hope this made sense, this is just how I figured it out. :)
Answer:
Ryan takes 6n+36m -42 seconds to reach the nth flag for the mth time.
Step-by-step explanation:
It takes Ryan to run from 1st to 6th flag in 30 seconds, so it takes him
30 * 6/3 = 36 seconds to make one complete round.
or it takes 6 seconds to run from one flat to the next.
To reach the nth flag (n=1,2,3,4,5, or 6)
Ryan takes 6(n-1) seconds.
To reach it the mth times, he needs to add 36(m-1) seconds.
So time it takes Ryan to reach the nth flag for the mth time takes
6(n-1) + 36(m-1)
= 6n - 6 + 36m - 36
= 6n+36m -42 seconds