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elena55 [62]
3 years ago
5

A hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent. The balloon descends at

a rate of 4.5 meters per minute. Explain how you would set up an equation to model when the balloon will reach an altitude of 75 meters above the ground. Then solve the equation and check your solution.
Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0

Answer:

120 - 4.5t= 75

t = 10 minutes

Step-by-step explanation:

the equation :

120 - 4.5t= 75

the solution:

-4.5 t = 75-120

-4.5t = -45

t = -45/(-4.5) = 10 minutes

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So, 4/3 - 2i

4/3 - 2i = 12/13 + i8/13

multiply by the conjugate: 
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= 4(3 + 2i)/(3 - 2i) (3 + 2i)
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(3 - 2i) (3 + 2i)

apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
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refine: = 13
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distribute parentheses:
a(b + c) = ab + ac
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Multiply the numbers: 4(2) = 8
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= 12 + 8i/13

Group the real par, and the imaginary part of the complex numbers:


Your answer is: 12/13 + 8i/13





Hope that helps!!!
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