linnybear300
25.09.2019 •
Mathematics
The path of a ping pong ball that is hit from one end of the table can be modeled by the equation (y= -1/4 x^2 5x) where x is measured in inches and represents the horizontal distance from the edge of the table, and y represents the height of the ping pong ball in inches above the table. what is the maximum height of the ping pong ball?
a.
the ball reaches a maximum height of 30 inches above the table.
b.
the ball reaches a maximum height of 20 inches above the table.
c.
the ball reaches a maximum height of 25 inches above the table.
d.
the ball reaches a maximum height of 27 inches above the table.
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Ответ:
To find the maximum height, you must solve this equation through differential calculus. To find the maxima or minima, you differentiate the equation y in terms of x and equate it to zero.
y' = 2(-1/4)x + 5 = -1/2*x + 5 = 0
By doing this, you would solve the value of x or the horizontal distance.
-1/2*x = -5
x =-5*-2
x = 10 inches
Finally, we substitute this x to the original equation to determine the maximum height y.
y = -1/4*10 + 5(10)
y = 25 inches
The answer is C.
Ответ:
A. 38.5
Step-by-step explanation:
Since the angles <XWZ and <XYZ are congruent, <ZYW is just half of <XYZ, so you would just divide 77 in half to get your answer. It's a rhombus, so it works similarly to a square. If one side is congruent, the other is too.