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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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Step-by-step explanation:

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Read 2 more answers
(-1,-2) and (3, -162) a. Is there a line th(at goes through these two points? How do you know? If there is one, what is the equa
lana [24]

Answer:

The equation of line for given points is y = - 40 x - 42  

Step-by-step explanation:

Given two points as :

( -1 , - 2 )  and ( 3 , - 162 )

Now, Equation of line in points form

y - y_1 = m × ( x -  x_1 )

Where m is the slope of line

And, m = \frac{y_2 - y_1}{x_2 - x_1}

or, m = \frac{ - 162 + 2}{ 3 + 1}

or, m =  \frac{ - 160}{ 4}

∴   m = - 40

So, Slope of line for given points is - 40

Now equation of line can be written as

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or, y + 2 =  ( - 40 ) × ( x + 1 )

or, y + 2 = - 40 x - 40

or, y = - 40 x - 40 - 2

∴  y = - 40 x - 42        

Hence the equation of line for given points is y = - 40 x - 42    Answer

4 0
3 years ago
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