Assuming the order does not matter, you want the number of combinations of 9 things taken 5 at a time. The combinations can be shown as C(9,5), 9C5.
C(9, 5) =
9/5(9-5) =
9*8*7*6*5 / 5*4
The 5 terms cancel.
9*8*7*6 / 4*3*2 =
9*7*2 =
126
The above change is because 4*2 cancels the 8 in the numerator and 6/3 = 2
Therefore, the solution is 126.
the translation takes the point A ( -1, -1) to (-1+4, 1) = (3, 1)
The refection in y = x 'flips' the points so (3, 1) becomes (1, 3) = A"
Do the same procedure for the other points to get the answer
(you should get B" = (-3, 3) )
127.23cm should be the surface area!
(x+5) represents each side of a square. Since all sides of a square are equal, we know that all sides are (x+5).
Base x height = (x+5)(x+5)
Which is x^2+10x+25!