Answer:
The hyperbola has two directrices, one for each side of the figure. You can see the hyperbola as two parabolas in one equation. So, as parabolas have directrix, hyperbolas does too.
The directrices are perpendicular to the major axis. That means if the parabolla is horizontal, then its directrices are vertical, and viceversa.
Therefore, to find the right line that forms the directrix of a hyperbola, you just need to use the directrix that is perpendicular to the major axis.
Average rate of change can be calculated by the following
Δy/Δx
Our Δx refers to displacement.
Δx = 4 - 64 = -60
Our Δy refers to our Δf(x)
To get our f(x) values, we must plug in 64 and 4 into the function f(x)
f(64) = 8√64 = 64
f(4) = 8√4 = 16
Δf(x) = 16 - 64 = -48
So our rate of change is -60/-48 = 0.8
I believe the answer should be positive 0.8, but that's my best estimate.
prime factoring, oddly enough, is simply dividing by primes, anyhow, without much adieu.
36 = 2 * 2 * 3 * 3.
but anyway, prime factoring, is dividing by first 2, till you can't, then 3 till you can't, then 5 till you can't, and so on, and that plucks out all possible factors on any number.
2160 - 180 - 432 = 612
Each parallelogram is 3 square inches
divide by 3
612/3 = 264 parallelograms to complete the quilt.
2304 cubic inches. You multiply the length, width, and base