Step 1-F.O.I.L.: (-2-2i)(-4-3i)
8+6i+8i+3i^2
We know i^2=-1, so...
8+14i-3
5+14i
Step 2-F.O.I.L. again: (5+14i)(7+8i)
35+40i+98i+112i^2
35+138i-112
-77+138i
Note: "F.O.I.L." stands for "First, Outer, Inner, Last". In other words, distribute the terms of the first binomial to the other, in that order. So, (5+14i)(7+8i) should be done as follows:
5*7=56
5*8i=40i
14i*7=98i
14i*8i=112i^2
Answer:
0.0636
Step-by-step explanation:
The probability the first die has twelve sides is 4/11.
The probability the second die has twelve sides is 3/10.
The probability the third die does not have twelve sides is 7/9.
The probability the fourth die does not have twelve sides is 6/8.
The probability of all four events is:
4/11 × 3/10 × 7/9 × 6/8 = 0.0636
40 cm.
let the length of the first part be 3x, second part be 4x, third part be 5x.
where x is a positive length in cm.
why 3x,4x and 5x ?
so that the ratio of lengths of the 3 parts be 3:4:5.
total length of the stick = 3x + 4x + 5x = 12x=96cm
so x=96/12 = 8cm
therefore the largest part of the stick (5x)= 5*8 =40cm
