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Ivenika [448]
3 years ago
7

The quadratic equation y = -16t^2 + 4t + 2 represents a moving object's trajectory where y is the object's height in feet above

the ground after t seconds. At what time will the object hit the ground?
a.) 2 seconds

b.) 0.25 seconds

c.) 0.5 seconds

d.) 1 second
Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

Answer:

c. o.5seconds

Step-by-step explanation:

y=-16t^2 +4t+2

=-2(8t^2 -2t-1)

=-2(8t^2 -4t+2t-1)

as the object hits the ground y =0

0 =-2(4t+1)(2t-1)

(4t+1)(2t-1)=0

t=-1/4 meangless

t=1/2

=0.5seconds

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To perform a 90° rotation clockwise around the origin, you take the coordinates of the point A(x, y) and transform them to A'(y, -x).  Since 180° and 270° are both "steps" of 90°, we can do this in succession and achieve our goal.
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3) (5, 2) 270° = three 90° turns = (-5, -2) rotated 90° = (-2, 5)°
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