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A creature on the moon throws a rock off a cliff. the height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = -t^2 +8t +10. when does the rock first reach a height of 12 meters?

 Jul 19, 2022
 #1
avatar+99 
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t^2-8t-10=0

t^2-8t=10

t^2-8t+16=10+16

(t-4)^2=26

t-4=+(26^(1/2))

t=4+(26^(1/2))

t=9.1s

 Jul 19, 2022
 #2
avatar+2668 
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t2+8t+10=12

t2+8t2=0

t=b±b24ac2a

t=8±82(4×1×2)2×1

t=8±562

t=8±2142

t=4±14

t=414

.
 Jul 19, 2022

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