You have to calculate how many ways you can select six things (r)
from a set of 9 things (n). (See attached formula).
9! / 6! * (3!) =
9*8*7 * 6! / 6! * 3! =
9*8*7 / 3! =
3 * 4 * 7 = 84 lineups
Step-by-step explanation:
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Do the problem little by little:
First, -20/48 reduces to -5/12.
Next, (t^5) / (t^7) simplifies to 1 / (t^2).
Same with u^2 / u^4: 1 / u^2
v^3 / v^1 = v^2
Let's put the factors back together:
-5 * v^2
--------------------------
12 * u^2 * t^2
-5 v
This could be left as is, or shortened: ----- * [ ------- ]^2
12 t*u
The directrix of a parabola<span> is the horizontal line found by subtracting p p from the y-coordinate k k of the vertex if the </span>parabola<span> opens up or down. Substitute the known values of p p and k k into the formula and simplify. Use the </span>properties<span> of the </span>parabola<span> to analyze and graph the </span>parabola<span>.</span>
Answer:
10 / 9
Step-by-step explanation:
[ 28 - 3 ( 2 + 4 ) ] / 9
= [ 28 - 3 ( 6 ) ] / 9
= [ 28 - 18 ] / 9
= 10 / 9