4Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
Since the difference between the value for each year is constant, this is an arithmetic sequence.
Step-by-step explanation:
Year 2 - Year 1 = 21,750 - 20,000 = 1,750
Year 3 - Year 2 = 23,500 - 21,750 = 1,750
Year 4 - Year 3 = Year 5 - Year 4 = 1,750
Speed = Distance / Time
Distance = Speed*Time
For this problem, we should bear in mind that current speed has an impact on the boat speed...
for upstream, the boat goes against the current, and so its speed is
U = V - C
where V is the speed of the boat
C is the current speed
for downstream, it will be:
D = V + C
Convert the problem into mathematical equations:
4D + 3U = 116
3D + 4U = 108
4(V+C) + 3(V-C) = 116
4V + 4C + 3V -3C =116
7V + C = 116
3(V+C) + 4(V-C) = 108
3V + 3C + 4V - 4C = 108
7V - C = 108
Solving the equations:
7V + C = 116
7V - C = 108
14V = 224
V = 16km/hr —-> speed of boat
to get C:
7(16) + C = 116
C = 4km/hr
A = (2+9)/2
a = 11/2
a = 5.5
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b = (4+4)/2
b = 4
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d = √(9-2)²+(4-4)²
d = √7²+0²
r = 3,5
____________________
(x-a)² + (y-b)² = r²
(x-5.5)² + (y-4)² = 3,5²
(x-5.5)² + (y-4)² = 12.25
