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The after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t
<h3>What is a parabola?</h3>It is defined as the graph of a quadratic function that has something bowl-shaped.
Making perfect square:
The highest point will be when term (4t-9)² becomes zero
So the highest point = 81 feet, and it takes:
t = 9/4 seconds
Thus, the after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t
Learn more about the parabola here:
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Answer:
y = - x²
Step-by-step explanation:
Since the vertex is at the origin and the focus at (0, - 4) then the parabola opens vertically down with equation
x² = 4py ( p is the distance from the vertex to the focus )
Here p = - 4 ( focus is below the vertex ), thus
x² = 4(- 4)y = - 16y ( divide both sides by - 16 )
y = - x²
Answer:
The lines are parallel.
Step-by-step explanation:
The first line is
In slope-intercept form, this line has equation:
The second line is
In slope-intercept form, the line has equation:
The slopes of the two lines are the same (m=1)
however, the y-intercepts of these lines are different (-1) and (+1) respectively.
The first choice is correct.
The two lines are parallel and hence will never intersect.