A volleyball player sets the ball in the air, and the height of the ball after t seconds is given in feet by h= -16^2+12t+6. A t
eammate wants to wait until the ball is 8 feet in the air before she spikes it. When should the teammate spike the ball? How many reasonable solutions to this problem are there?
1 answer:
Answer:
Step-by-step explanation:
The given function is
The graph of this function is a parabola that opens downwards
The line intersects this parabola, when
The teammate can spike the ball after 0.25 seconds or 0.5 seconds.
The two solutions are reasonable. When the volleyball is accelerating into the air, it passes a height of 8 after 0.25 seconds.
When the ball is dropping after it attains maximum height, it attains another height of 8 after 0.5 seconds again.
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Answer:
y = - x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - , thus
y = - x + c ← is the partial equation
To find c , substitute (4, - 5) into the partial equation
- 5 = - 2 + c ⇒ c = - 5 + 2 = - 3
y = - x - 3 ← equation of line
Answer:
The equation of the line in slope-intercept form is:
Step-by-step explanation:
Given the points
- (-8, 5)
- (-1, -5)
Finding the slope
We know the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept
substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept
now substituting m = -10/7 and b = -45/7 in the slope-intercept form
Thus, the equation of the line in slope-intercept form is: