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°
Find the diameter of circle using pythagoras
d = √(Δx² + Δy²)
d = √((7-1)² + (-6-2)²)
d = √(6² + (-8)²)
d = √100
d = 10
The diameter is 10
Find the circumference
c = π × d
c = 3.14 × 10
c = 31.4
Answer:
s=5
v=2
Step-by-step explanation:


You have

for all

, and dividing by

gives

, or

. By the racetrack principle, then, it follows that

.
Answer:
3,0
Step-by-step explanation: