Answer:
As shown in the attached figure we have
Now we have 
Thus angle of depression is 
Answer:
Step-by-step explanation:
(8 - 8i) + (1 + 6i)
8 + 1 - 8i + 6i
9 - 2i
Answer:
5
Step-by-step explanation:
The sequence is a "/2 sequence", which means each number equals half of the previous one.
40 is half of 80.
20 is half of 40.
10 is half of 20.
5 is half of 10.
Hope it helped,
BioTeacher101
Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
