Answer:
5.2 seconds
Step-by-step explanation:
We want to determine the value of x when h(x) = 0
:
-16x^2 +83x + 4 = 0
:
use quadratic formula to determine the value for x
:
x = ( -83 + sqrt(83^2 - 4*(-16)*4) ) / (2*(-16) = −0.047753182
:
x = ( -83 - sqrt(83^2 - 4*(-16)*4) ) / (2*(-16) = 5.235253182
:
we want the positive value for x since time runs forward
:
the ball hung in the air for approx 5.2 seconds
Answer:
y=-1/2x+4
Step-by-step explanation:
hope this helps:)
Step-by-step explanation:
To complete the square, take half of the second coefficient, square it, then add the result to both sides.
(-8/2)² = (-4)² = 16
x² − 8x + 16 = 9 + 16
Solving:
(x − 4)² = 25
x − 4 = ±5
x = 4 ± 5
x = -1 or 9