9514 1404 393
Answer:
f(x) = (x^2+2)/(x-1)
Step-by-step explanation:
In simplest form, it will be a quadratic divided by (x-1). The quadratic must have no zeros, and a y-intercept of 2.
One such could be ...
f(x) = (x^2 +2)/(x -1)
__
The numerator polynomial must have no zeros in order to prevent the rational function from having zeros. It must be a function that has a degree an odd number greater than the denominator function. The denominator function can have only one zero, at x=1. The ratio of the functions must have a net odd degree and the overall leading coefficient must be positive in order to make the end behavior match the requirement.
Given:
A figure of a triangular prism.
Height of triangular base = yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:
Putting and h=4 in (i), we get
The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
Answer:
Step-by-step explanation:
This is the distance formula for cartesian coordinate systems, or your typical xy graph. If given two points to find the distance between, you can assign '1' or '2' to the points, i.e. (1,1) and (2,2) could be: (1,1) is (x1,y1) and (2,2) is (x2,y2). It doesn't matter which point is 1 or 2. If we were to use those example points in this formula, we would have:
We can simplify and come up with:
=
We must remember that square roots can be positive OR negative, HOWEVER, because you are looking for a distance it must be positive .
Hope this helped!