Answer:
Well to start out you have 5 reindeer. If you glue Lancer and Ezekiel together you only have 4 units to arrange in different orders. That number is 24. But for each of those, Lancer and Ezekiel can be arranged in two ways... with Lancer in front of the pair or in the back of the pair. So altogether there are 48 ways to arrange the five reindeer with Lancer and Ezekiel always being together.
An excluded value is one where the bottom of the fraction = 0.
In your case 1-3x=0
1=3x
x=1/3
At this point, the function does not exist. If you were to draw a graph of it, there wouldn't be a y-value corresponding to x=1/3.
Answer:
Apply the sine theorem in triangle ABC:
sin C = AB/AC = 4/5
=> C = arcsin(4/5) = 53.13 deg
As shown in picture, AB//CD. Using the same side interior angles theorem:
=> angle BCD = angle ABC = 90 deg
=> angle ACD = 90 - angle ACB = 90 - C = 90 - 53.13 = 36.87 deg
Apply the cosine theorem in triangle ACD:
cos C = AC/CD
=> CD = AC/cos C = 5/cos(36.87) = 5/0.8 = 6.25
=> Option C is correct
Hope this helps!
:)
W - 2 = -3....add 2 to both sides
w - 2 + 2 = -3 + 2...simplify
w = -1 <== ur solution
