The first thing you should know is that the slope of the line that passes through two points, by definition is given by:
m = (y2-y1) / (x2-x1)
Substituting the values we have:
m = (76-70) / (28-30)
m = -3
answer:
the slope of the line between points a and b is
m = -3
so we have those critical values, which gives us the intervals of (-∞, 0] , [0, 6] and [6, +∞).
where is it increasing or decreasing? well, that's just a matter of checking a value on each region for the the first derivative, namely the first derivative test.
we can check for f(-1) = 12(-1)² - 72(-1), is a positive value, increasing.
and check f(1) = 12(1)² - 72(1), is a negative value, decreasing.
and check f(7) = 12(7)² - 72(7), positive, so increasing.
check the picture below, and you can see there which are the minima or maxima.
There are 4 cups in a quart so he can pour 8 glasses of juice :p
Answer:
3.125 kilometers
Step-by-step explanation:
The answer for the question shown above is: The shape of the cross section is a triangle.
The explanation is shown below:
Imagine that you have a plane that intersect the rectangular pyramid and it passes through its vertex and it is perpendicular to the base of the pyramid, when you look the cut, you will see a triangle as a cross section.
