Answer:
2 seconds
Step-by-step explanation:
Given
h = - 32t² + 64t
When the frisbee lands the height h = 0, that is
- 32t² + 64t = 0 ( multiply through by - 1 )
32t² - 64t = 0 ← factor out 32t from each term
32t(t - 2) = 0
Equate each factor to zero and solve for t
32t = 0 ⇒ t = 0
t - 2 = 0 ⇒ t = 2
t = 0 represents when the frisbee was thrown
and t = 2 when it lands
Hence it takes 2 seconds for the frisbee to land.
This would be the correct answer
Based on the information given about the equation, y will be 0.5x + 2.
<h3>How to illustrate the equation?</h3>
From the information given, it should be noted that the equation of the line it represents was given and the y intercept is = (0, 2).
The function to represent y will be:
y = mx + b
y = (1/2)x + 2
y = 0.5x + 2
In conclusion, y = 0.5x + 2.
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I can't graph the equation for you, but I can tell you where the points will be. The y-intercept is easy; 1/3×0=0 and 0-2= -2. One of your points (the y-intercept) should be at (0,-2). To find another point is slightly trickier, but all you have to do here is find a multiple of three. For the simplest one, go to 3 on the x-axis. Then, apply the equation, y=1/3x-2. Your second point should lay at (3,-1). Then, just connect those two points and extend them to show that the line is continuous. Hope I could help!
