Answer:
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Step-by-step explanation:
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The equation that gives the height is h(t) = - 16t^2 + 18t + 5, which is a parabola.
You cand find the maximum height from the vertex of the parabola.
Let's find the vertex. I will complete squares:
Start by extractin common factor -16:
-16t^2 + 18t + 5 = -16 [t^2 - (18/16) t - 5/16]
I will work with the expression inside the square brackets.
t^2 - (18/16)t - 5/16 = t^2 - (9/8) t - 5/16 =
Completing squares: (t - 9/16)^2 - (9 / 16 )^2 - 5/16
(t - 9/16)^2 - 81/ 256 - 5/16 = (t -9/16)^2 - 161/256
Now, include add include the factor -16[ (t- 9/16)^2 + 161/256 ] =
= -16 (t - 9/16)^2 + 161/16
That means that the vertex is 9/16, 161/16
So, the maximum height is 161 / 16 = 10,06, which is lower than the fence.
Answer: She will not make it over the fence.
PURR YOU GOT THIS!!! HOPE THIS HELPS 1993
