Write the equation of the circle P graphed below.

Mathematics

1 answer:

Natasha2012 [34]3 years ago

3 0

(1,-4) the fourth axis i think is (+,-) the ex is one away from the origin and the y is 4 steps away from the origin

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A gymnast dismounts the uneven parallel bars. Her height, h, depends on the time, t, that she is in the air h = −162 + 24t + 16.

dimulka [17.4K]

That is when h=0
so assuming yo meant
h(t)=-16t²+24t+16
solve for t such that h(t)=0
because when height=0, the gymnast hits the ground

so
0=-16t²+24t+16
using math (imma complete the square
0=-16(t²-3/2t)+16
0=-16(t²-3/2t+9/16-9/16)+16
0=-16((t-3/4)²-9/16)+16
0=-16(t-3/4)²+9+16
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25/16=(t-3/4)²
sqrt both sides
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if we do plus (because minus would give us negative height)
8/4=t
2=t
it takes 2 seconds

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