Answer:
-4
Step-by-step explanation:
[√2(cos(3π/4) + i sin(3π/4))]⁴
(√2)⁴ (cos(3π/4) + i sin(3π/4))⁴
4 (cos(3π/4) + i sin(3π/4))⁴
Using De Moivre's Theorem:
4 (cos(4 × 3π/4) + i sin(4 × 3π/4))
4 (cos(3π) + i sin(3π))
3π on the unit circle is the same as π:
4 (cos(π) + i sin(π))
4 (-1 + i (0))
-4
Answer:
-64
Step-by-step explanation:
5(x – 6) + 3x – 2
Distribute
5x - 30 +3x -2
Combine like terms
8x -32
Let x = -4
8*-4 -32
-32 -32
-64
Answer:
1
Step-by-step explanation:
1 times 1 times 1 = 1
Answer: (-5x2 - 8x + 7) - (5x2 - 4)
Step-by-step explanation:
= -5x2 - 8x + 7 - 5x2 + 4
= -5x2 - 5x2 - 8x + 7 + 4
= -10x2 – 8x + 11
Answer: = (-5x2 - 8x + 7) - (5x2 - 4)
