Solve for x: 4(x+5)=3(x-2)-2(x+2)
1 answer:
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Answer:
(-1, 4)
Step-by-step explanation:
In the figure attached,
Ordered pair representing point P is (3, 4) [parallel to y-axis]
If this point has been reflected across a line x = 1
New point after reflection across x = 1 will be,
P(3, 4) → P'(-1, 4)
Since point P and P' will be equidistant from the line (x = 1), so the x ordinate of P' will be = 3 - 4 = -1
And y-ordinates of point P' will be same as y = 4
Answer:
Step-by-step explanation:
This is permutation, since order matters. The formula for us is
₁₈P₅ = which simplifies to
₁₈P₅ =
The factorial of 13 cancels out on the top and bottom leaving you with
₁₈P₅ = 18 × 17 × 16 × 15 × 14
which comes to 1,028,160 ways
Another way to look at it is: the first 5 people of 18 finish and the others you don't care about. Once the first place person is first, there are only 4 of the 18 left to finish in second place. Then there are only 3 left to finish in third place, etc. So if we use that reasoning, we don't even need to use the formula, we can just say
18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.