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For this exercise, we have first to determine the slope, so that's going to be six Y equal to negative four X -5 will divide by six. So this is gonna be negative 2/3 x minus 5/6. And so the slope is what we want now that we have this slope, we can plug in our point, so we have Y -2 equals negative 2/3 x -5. This is called point slope, So we'll get y equal to negative 2/3 x plus 10/3 plus two. Thus will have y equals negative 2/3 x plus 16 3rd. And that's the solution to this exercise.
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Flying against the wind, an airplane travels 2190 kilometers in 3 hours. Flying with the wind, the same plane travels 5550 kilometers in 5 hours_ What is the rate of the plane in still air and what is the rate of the wind? km Rate of the plane in still air: km 2 Rate of the wind:
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We travel against the wind with the planes based on their speed and still air. Let's call it P, minus the wind speed. Since we're going against the wind, we subtracted and were given a rate of 2190 km in three hours, that gives us 730 km/h. When we go with the wind, we have the plane speed and the wind speed. In this case, we have a rate of 5550 km in five hours and we haveDividing that out gives us 1100 km/h. Two equations and two unknowns have been created. We can solve the system of equations using substitution. So we can add over W to both sides to get P. P is 7 30 plus W and we have another plus. We are able to add our terms. W Plus W gives us two W, so we have to subtract 7 30 from both sides to get 3 80. To get 190 kilometers per hour, we divide 3 by two. Now that we have the wind speed, we can use this expression to get P to be 7 30 plus the wind speed of 1 90 to get the plane speed.
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Last updated: 7/20/2022
Flying against the wind, an airplane travels 7760 kilometers in 8 hours. Flying with the wind, the same plane travels 8470 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?
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Flying against the wind, an airplane travels 2080 kilometers in 4 hours. Flying with the wind, the same plane travels 4800 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?
Rate of the plane in still air: ....km/h
Rate of the wind: .....km/h
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