Step-by-step explanation:
using formula that cos= b/h
Answer:
Since
= 6 and
= 7 it is known that
is between 6 and 7.
Step-by-step explanation:
Answer:
a. 8/24
divide denominator and numenator by three
1:3
b. 16/24
2:3
We analyze the chart and observe that the linear function is

, since this relation holds for all values in the table. Drawing this line over the quadratic function shows that they intersect
twice, at
both the positive and negative x-coordinates.This is by far the easiest way to solve this problem, but if you're interested in learning how to do it algebraically, read on! To prove this more rigorously, we can find that the equation of the parabola is
Substituting in

, we find that
the intersection points occur where 
, or

or

This equation doesn't factor nicely, so we use the
quadratic formula to learn that

Hence, the x-coordinates of the intersection points are

, which is
positive, and

, which is
negative. This proves that there are intersection points on both ends of the axis.
Answer:
The vertex of a parabola is (h,k)
Step-by-step explanation:
The vertex form of a parabola is y=a(x-h)^2+k where a is the stretch/compression factor and (h,k) is the vertex. So to find the vertex, you will need (h,k) which represents the horizontal and vertical shift of the parabola