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aivan3 [116]
3 years ago
12

A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's height h (in meters) after t seconds is given

by the following.
h=60t-512
Find all values of t for which the rocket's height is 27 meters.
Round your answer(s) to the nearest hundredth.
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0

Answer:

0.47 and 11.53

Step-by-step explanation:

h = 60t − 5t²

27 = 60t − 5t²

5t² − 60t + 27 = 0

Quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)

t = (60 ± √3060) / 10

t = 0.47 or 11.53

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In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.
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The diagonals of a parallelogram bisect each other.

DH = HF and GH = HE

x + 5 = 2y
3x - 1 = 5y + 4

Solve the first equation for x.
x = 2y - 5

Now substitute 2y - 5 for x in the second equation.

3(2y - 5) - 1 = 5y + 4

6y - 15 - 1 = 5y + 4

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y = 20

Now substitute 20 for y in the first original equation.

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x + 5 = 2(20)

x + 5 = 40

x = 35

Answer: x = 35 and y = 20
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