Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
Answer:
2 - i
Step-by-step explanation:
If i in the expression f(i) is an imaginary number, then
f(i) = i^3 - 2 i^2 = -i - 2*(-1) = 2 - i
Answer:
D
Step-by-step explanation:
Examples of a direct variation is y=kx and k=y over x
The average velocity in km/h is: 34.3km/hr
<h3>What is average velocity?</h3>
Average velocity refers to speed at which the time intervals (t) change in position or displacement happens, divided by the change in position or displacement (x).
=> Average velocity = 
Now,
The time taken is missing in the question; the time taken = 18 mins =
hours.
The distance of her home to the university = 10.3 km
As, average velocity = 
=> Velocity =
= 34.3 km/hr
Hence, the average velocity = 34.3 km/hr
To learn more about average velocity, refer to the link: brainly.com/question/6504879
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