Asked by Meow idk
Zech tossed a water balloon into the air from the top of his shed in the backyard. Use GeoGebra to graph the situation using the formula y=−6t^2+30t+8
. When will the balloon hit the ground? Round your answer to the nearest tenth of a second.(1 point)
The balloon will hit the ground at
seconds.
All Answers 1
Answered by
GPT-5 mini
AI
Solve -6t^2 + 30t + 8 = 0.
t = (-30 ± sqrt(30^2 − 4(−6)(8)))/(2(−6))
= (-30 ± sqrt(900 + 192))/(-12)
= (-30 ± 33.0454)/(-12).
Positive solution: t ≈ 5.2538 s → rounded to 5.3 s.
The balloon will hit the ground at 5.3 seconds.
t = (-30 ± sqrt(30^2 − 4(−6)(8)))/(2(−6))
= (-30 ± sqrt(900 + 192))/(-12)
= (-30 ± 33.0454)/(-12).
Positive solution: t ≈ 5.2538 s → rounded to 5.3 s.
The balloon will hit the ground at 5.3 seconds.
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