Answer:
P43=4!(4–3)!=241=24
Step-by-step explanation:
There are four choices you can make for the lead reindeer. For each possible choice, there are then three remaining you can choose to fly second, making 4×3=12 choices for the lead pair. For each possible choice there are two remaining reindeer to take up the back position, making 12×2=24 choices for the team of three.
This type of problem is called a permutation problem, and we write Pnr for the number of ways of choosing r items from n possibilities when the order of the items matters. In this case we are choosing 3 reindeer from 4 possibilities, and the order they appear in the flying line does matter, so the answer we want is P43. The general formula is Pnr=n!(n−r)!. For the answer we are looking for we therefore have:
P43=4!(4–3)!=241=24
It would be y=(x+4)²+9.
To complete the square, we divide the value of b, the coefficient of x, by 2 and square it:
(8/2)² = 4² = 16
We would add 16 to this in order to have a perfect square; but we would also need to subtract 16 at the end to keep it equal. This would give us:
y=(x²+8x+16)+25-16
y = (x+4)² + 9
Answer:
The answer is C. 11/29
Step-by-step explanation:
Simplify the left side.
29a - 5 = 6
Move all terms not containing a to the right side of the equation.
29a = 11
Divide each term by 29 and simplify.
a
= 11
/29
