To see if it's a right triangle we need to determine if a²+b²=c²
(
)² + (
)² = 
+ 
= 
+ 
= 
=
So it is a right triangle
(
So it is a right triangle
Which is the equation of a line that has a slope of -2/3
1 answer:
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Given:
Consider the height of the rocket, in feet after x seconds of launch is
To find:
The time at which the rocket will reach its max, to the nearest 100th of a second.
Solution:
We have,
It is a quadratic polynomial with negative leading coefficient. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
To find the time at which the rocket will reach its max, we need to find the x-coordinate of the vertex.
If a quadratic function is , then the vertex is
Here, .
So,
So, x-coordinate of the vertex is 4.75.
Therefore, the rocket will reach its max at 4.75 second.