Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line. F(–2, 0);
1 answer:
The line is called the directrix. Here we have a vertical directrix, so a parabola sideways from usual.
Geometry is best done with squared distances. The squared distance from an arbitrary point (x,y) to the vertical line x=2 is
We equate that to the squared distance of (x,y) to the focus (-2,0):
We could call that done. A more standard form might be
Geometry is best done with squared distances. The squared distance from an arbitrary point (x,y) to the vertical line x=2 is
We equate that to the squared distance of (x,y) to the focus (-2,0):
We could call that done. A more standard form might be
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Answer:
bacteria
Step-by-step explanation:
The generic form of an exponential function is: , where a is the initial amount, r is the rate, and n is the time.
In this case, the initial amount is 1000, so a = 1000. Also, the rate is 2 because the culture doubles in size every 5 minutes. However, our n is not just n; it's actually n/5 because the rate is doubling per 5 minutes, not per 1 minute. If it was per 1 minute, then the time would simply be n. Unfortunately, that's not the case here, so the exponent of r should be n/5, where n is the number of minutes that have passed.
Now, we have:
Since n is the number of minutes, we need to convert 2 hours to minutes:
2 hours * 60 min/hour = 120 minutes.
Thus, the answer is bacteria.
Hope this helps!