Answer:
yes they are
Step-by-step explanation:
Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Answer:
can you put the number line
Step-by-step explanation:
Answer:
p = 23 and p = -22
Step-by-step explanation:
| 2p -1 | =45
Absolute value equations have 2 solutions, one positive value and one negative
2p-1 = 45 and 2p-1 = -45
Add 1 to all sides
2p-1+1 = 45+1 and 2p-1+1 = -45+1
2p = 46 2p = -44
Divide by 2
2p/2 = 46/2 and 2p/2 = -44/2
p = 23 and p = -22
Given :
Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping.
To Find :
If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents the situation if Ryan wants to earn a minimum of $300.
Solution :
His total earning is given by :
T = 10( number of hours at hardware store ) + 13( number of hours at the shipping)
T = 10x + 13y
Now, he wants to earn a minimum of $300 i.e T ≥ $300.
So, 10x + 13y ≥ 300
Hence, this is the required solution.
