You have to ask yourself the meaning of h(0)
That means that GS Hopper is at this starting position
h(0) = -0^2 + 4/3 * 0 + 1/4
GS is 1/4 of a unit above the ground. So you need to find out how to solve h(t) so that the value of h(t) = 0 There is a difference between h(t) = 0 and t = 0.
-t^2 + 4/3 t + 1/4 = 0 I'd multiply through be 12. It might be easier to do.
-12 t^2 + 16t + 3 = 0 Remember all terms have to be multiplied by 12.
I know this seems laborious, but you should divide through by - 1
12t^1 - 16t - 3 = 0. That way you don't have to explain what to do with the minus 1. Negatives can be a real pain.
It does factor.
(2x - 3)(6x + 1) = 0 This is just a guess that was lucky. You have to try combinations to get it right. Luckily 3 has only 1 and 3 as factors.
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5 This answer means that 1.5 s starts his jump, he's on the ground.
the other root is meaningless. You can't have minus time in these questions.
Answer t = 1.5 s <<<< answer
Answer:
Its
Step-by-step explanation:
slope: 2.5
y intercept: 3
18. Answer: D
<u>Step-by-step explanation:</u>
First, find the measure of the missing angle.
65° + 57° + x = 180°
122° + x = 180°
x = 58°
Next, match up the angles with the opposite sides:
65° ⇄ Swim
58° ⇄ Bike
57° ⇄ Run
Lastly, put them in order from least to greatest:
57° < 58° < 65°
⇒ Run < Bike < Swim
The only multiple choice option that is correct is Bike > Run.
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19. Answer: 22.3°
<u>Step-by-step explanation:</u>
D = 22.3°
