Answer:
a) ~10.58 km/h
b) 45 min
c) 15 km/h
Step-by-step explanation:
a) 45km for 4 hours and 15min (4.25 hours) = 45 / 45.25 ~= 10.58 km/h
b) From 4:15 to 5 = 45min
c) 45km for 3 hours (5:00 to 8:00) = 45 / 3 = 15 km/h
NOTE!
The author actually wanted the answer on A) to be 10 km/h and the journey to be 4.5 hours (4 hours 30min) but instead they made it 4.25 (as shown on the graph, since 1 square is 30 minutes).
Step-by-step explanation:
step 1. The x values refer to the domain of the function.
step 2. if you set y = 0 and solve the quadratic equation the x values refer to the point the graph crosses the x axis.
Answer:
(2/9)cis(30°)
Step-by-step explanation:
We can express the two numbers in magnitude∠angle form, then find their ratio.
|z1| = 3√((-1)² +(√3)²) = 3√4 = 6
∠z1 = arctan((3√3)/(-3)) = -arctan(√3) = 120°
z2 = 27∠90°
So, the ratio is ...
z1/z2 = (6∠120°)/(27∠90°) = (6/27)∠(120°-90°)
z1/z2 = (2/9)∠30°