calculating each of the products
noting that i² = (√- 1 )² = - 1
(1 + 2i)(8i) ( distribute by 8i )
= 8i + 16i² = - 16 + 8i ← complex number
(1 + 2i)(2 - 5i) ( expand using FOIL )
= 2 - 5i + 4i - 10i²
= 2 - i + 10 = 12 - i ← complex number
(1 + 2i)(1 - 2i) ( expand using FOIL )
= 1 - 2i + 2i - 4i²
= 1 + 4 = 5 ← real number
(1 + 2i)(4i) ( distribute by 4i )
= 4i +8i² = - 8 + 4i ← complex number
(1 + 2i)(1 - 2i) is the only product which results in a real number
Answer:
10 19/10 meters
Step-by-step explanation:
Step one:
given data
let the amount of string used for the soccer field be x
and the amount used for coach spot be y
Also, let the total string used be represented as T
Step two:
Hence the expression for the total is
T= x+y
T= 9 1/2+ 2 2/5
T= 9.5+ 2.4
T= 11.9
or
T= 119/10 meters
or
T= 10 19/10 meters
Answer:
Step-by-step explanation:
Remark
We really should have 1 more term in the sequence. There could be a lot of things that determine what the sequence is. I'm going to say that each term is multiplied by 3
Givens
a1 = 1
r = 3
Formula
tn = a1 * 3^(n-1)
t100 = 1 * 3^(100 - 1)
t_100 = 3^99
t_100 = 1.72 * 10^47
This really is a scientific calculator problem. If you don't own such a thing, but you have windows 10 on your computer, go to the calculator. Go to the scientific calculator and put in these key strokes.
3
x^y
99
=
This is what you get
1.7179250691067044367882037658854e+47
Naturally, I rounded it a bit.
I think the answer is 3x + 18 because:
3 * x = 3x
and
3 * 6 = 18
That equals 3x + 18.
Hope this helped☺☺
