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Yuliya22 [10]
3 years ago
14

Jill and Lori each walk in a straight line between two points. Using the points on a map they created, Jill will start at (–2,–4

) and will stop at (4, 2). Lori will start at (–1,6) and will stop at (4,–4) . Which point will Jill and Lori both walk through?
Mathematics
1 answer:
Olenka [21]3 years ago
6 0
We develop the equation for each of the tracks that will be walked through by Jill and Lori. 
                   Jill:  y - 2 = ((2 - -4)/(4 - -2))(x - 4) ;   y = x - 2
                   Lori: y - 6 = ((-4 - 6)/(4 - -1))(x + 1);   y = -2x + 4
The intersection of these equation is (2,0). 
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The altitude of Death Valley California is 282 ft below sea level of hot air balloon is launched From The Bottom Of Death Valley
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177 ft below sea level.

Step-by-step explanation:

Initial altitude of the hot air balloon = 282 below sea level

Rate of rise of balloon = 10 ft / second

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Total rise in 12 seconds = Rate of rise of balloon \times Time

\Rightarrow 10 \times 12 = 120 ft

Now, we will have to subtract to find the new altitude.

New altitude = 282 - 120 = 162 ft

Now, it is given that balloon Captain lowers the balloon 15 ft.

To find the final altitude, we will have to add it to the previous altitude.

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blsea [12.9K]

Since it's a linear equation and there's a constant rate (given in the problem), we can choose our x - axis to be the time and the y - axis to be height. We choose it that way because you are going up in the elevator. The more time in the elevator, the higher you go.


Finding this equation uses the point slope formula, y - y₁ = m(x - x₁). It can be done with slope-intercept, y = mx + b too.).


First we need to get the slope of the line. Choose any two points, but be consistent and choose two y points as well as the matching x ones. Here, we use x₁ = 2, x₂ = 4, y₁ = 45, y₂ = 75. Slope, m, is y₂ - y₁ / x₂ - x₁.


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So the linear equation representing this table us y = 15x + 15.

6 0
3 years ago
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