The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da
ys that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel. A graph titled Water Supply with number of days on the x-axis and gallons of water left on the y-axis. A line goes through points (6, 33) and (15, 15). What does the y-intercept represent?
2 answers:
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Answer:
a) 10/3
b) hyperbola
c) x = ± 6/5
Step-by-step explanation:
a) A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:
Given the conic equation:
We have to make it to be in the form :
Comparing with
e = 10/3 = 3.3333, p = 6/5
b) since the eccentricity = 3.33 > 1, it is a hyperbola
c) The equation of the directrix is x = ±p = ± 6/5
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