Dividing x^2 - 16 by 4x - 24 gives the quotient (1/4)x + 3/2
y = (1/4)x + 3/2 would be an asymptote ( discontinuity)
Another would be a vertical discontinuity when x = 6 (this would make the denominator 4x-24 = 0.
People moved to the cities to escape war. Some people had left the countryside to work in the arms industry and some had left for Rome looking for subsistence. Rome became the most populous city in Europe and West Asia.
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
Answer:
32
Step-by-step explanation:
The length of segment AB is the average of XY and WZ.
(22 + x)/2 = 27
22 + x = 54
x = 32
Answer:
4√5
Step-by-step explanation:
√80 = √16 times √5
√16 = 4
4 times √5
4√5
