Answer:
slope = - 2, point on line = (- 1, 3 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = - 2(x + 1) ← is in point- slope form
with slope m = - 2 and (a, b ) = (- 1, 3 )
The first word of the question is cut out of the picture, so we don't exactly know what the assignment is. But we can see that the graph of f(x) will do something weird when x=-3, because the denominator will be zero, and division by zero doesn't even have a definition or meaning. Just for fun, you should go ahead and calculate the numerator when x=-3, and that totally blows your mind, because the numerator is zero too. So you've got. f(-3)= 0/0 , and I can pretty much guarantee that you won't be able to plot that point anywhere on the graph. (I'm pretty sure that f(-3) is actually going to turn out to be -13, but even if I'm correct, you probably haven't learned that little calculus trick yet, so don't worry about it. As far as you're concerned, f(-3) is 0/0, and can't be plotted.)
Answer:
1.28 m
Step-by-step explanation:
The speed at which water rises in the tank is proportional to the speed of the water in the pipe and inversely proportional to the ratio of the tank area to the pipe area.
The ratio of tank area to pipe area is the square of the ratio of their diameters:
((150 cm)/(4 cm))² = 1406.25
Then the rate of rise of water in the tank is ...
(0.5 m/s)/(1406.25)
After 1 hour = 3600 seconds, the height of the water will be ...
rise = (time)(rate of rise)
(3600 s)(0.5 m/s)/1406.25 = 1.28 m
Answer:
vertical
Step-by-step explanation:
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