Answer:

Step-by-step explanation:
We want to prove algebraically that:

is a parabola.
We use the relations

and

Before we substitute, let us rewrite the equation to get:

Or

Expand :

We now substitute to get:

This means that:

Square:

Expand:




This is a parabola (0,2.5) and turns upside down.
Answer:
10.
8. 
Step-by-step explanation:
10. each step is 36, so i added it twice to get 72.
then add 16 twice = 32
this gives us two sides to our triangle.
We can now use tan since we know opp and adj
tan 32/72 = .44
arctan = 23.75
8. since we again know the opposite and adjacent sides to the angle e are trying to find we can use tan again.
tan 12.5/18 = .694
arctan= 34.76
The constant rate = 20 ft / 5 seconds = 4 feet per second
Find the chart that shows an increase of 4 feet for every second the balloon travels.