C is correct answer.
Skew is a line that does not have a same plane.
Hope it helped you.
-Charlie
Thanks!
Answer:
Step-by-step explanation:
52.5 mi(8 km/5mi) = 84 km
Answer:
F
Step-by-step explanation:
Answer:
336
Step-by-step explanation:
Required Formulas:-
1. Number of ways to select x things out of n things = ⁿCₓ
2. Number of ways to arrange n things when a things and b things are similar = n!/(a!*b!)
Since we have to choose 8 colors and we are having 3 different colors, it is only possible when we select 2 different colors (e.g. 5 red and 3 blue). To find all possible ways we will have to find all unique arrangements of selected color.
Using formula (1), number of ways to select 2 colors out of given 3 colors = ³C₂ = 3
Using formula (2), finding all unique arrangements when 5 stripes are of one color and 3 stripes are of second color = 8!/(3!*5!) = 56
Suppose, we can choose 5 stripes from red color and 3 stripes from blue color or 5 strips from blue color and 3 strips from red color. So there are 2 possibilities of arranging every 2 colors we choose .
∴ Answer=3*56*2 = 336
<span>the sum of the first and three times the second is 54.
x + 3y = 54
3y = 54 - x
y= 54 /3 - x / 3 = 18 -x /3
</span>xy = x (18 -x /3) = 18x - x^2 / 3 = - 1/3 x ^ 2 + 18 x
<span>
</span><span>since a<0, it is concave downward, and the vertex is the maximum value. That vertex occurs at x= - b /2a = (-18) / (-2/3) = 12
</span>
<span>The first number is x=12.
The second is y = </span><span>18 -x /3 = 18- 12/ 3 = 18 - 4 = 14 </span>
