If my math is right it should be b
Answer:
A. because -4 is 4 units away from 0.
Answer:
8(cos(π) +i·sin(π))
Step-by-step explanation:
The number in parentheses has a magnitude of ...
√(1^2 +(√3)^2) = √4 = 2
Then the cube of that number will have a magnitude of 8, eliminating the 2nd and 4th choices
The angle of the number in parentheses is ...
arctan(-√3/1) = -π/3
Then 3 times that angle will be -π, also π.
The number of interest has a magnitude of 8 and an angle of π, so is written in the desired form as ...
8(cos(π) +i·sin(π)) . . . . . matches the 3rd choice
Answer:
Step-by-step explanation:
x + y + z = 1
-x + 9y - 3z = -49
10y - 2z = -48
2x + 4y + 2z = -6
-2x + 18y - 6z= -98
22y - 4z = -104
-20y + 4z = 96
2y = -8
y = -4
10(-4) - 2z = -48
-40 - 2z = -48
-2z = -8
z = 4
x - 4 + 4 = 1
x = 1
x = 1, y = -4, z = 4
Answer:
This will be the sum of a geometric series where the first term is 4
The common ratio is -5
And we will have 6 terms.....so....the sum is
first term [ 1 - common ratio^number of terms ] / [ 1 - common ratio ] =
4 [1 - (-5)^6] / [ 1 - -5 ] =
4 [ 1 - 15625 ] / 6 =
(2/3) ( -15624 ) =
-10416
Step-by-step explanation:
