The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
Answer:
The equation for the line of reflection will be x = y.
Step-by-step explanation:
On a coordinate plane, triangle Δ ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle Δ A'B'C' has points (3.7, 6), (2, 5.4), (3, 1).
And we have to find the equation of the line of reflection of the points.
Now, it is clear from the coordinates of vertices of Δ ABC and Δ A'B'C' that after reflection the x and y-values of the respective coordinates interchange and there is no change in signs.
Therefore, the equation for the line of reflection will be x = y. (Answer)
Answer:
0
Step-by-step explanation:
2x - 10 = 30
2x = 40
x = 20
