The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 18 seconds? a.
4536 ft
b.
5832 ft
c.
5184 ft
d.
288 ft

5184ft

Step-by-step explanation:

d= distance an object falls when dropped from a tower

t= time it takes to fall

According to the first sentence,

d(sign of proportionality) t^2

Introducing a constant k:

d =kt^2

when d=144ft ,t=3sec

Substitute the values to find k

144 =k(3^2)

144 = 9k

k = 144/9

k =16

Substitute k =16 and t =18sec

d =kt^2

d =16×(18^2)

d =16× 324

d = 5184ft

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

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66answer:

step-by-step explanation: