CAN YOU GUYS HELP ME FOR #10
2 answers:
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Remember that for a function of the form 
, a parabola, the focus will be: 
.
We know that the vertex of the parabola is (0,0), and the sun is the focus of the parabola; we also know that the focus is in the positive y-axis and when the comet is as its vertex, the distance between them is 60'000.000 km; therefore the focus of our parabola is (0, 60'000.000).
Now that we know the focus, we can find
using the focus of the parabola:
Now, the only thing left is replacing the value of in our equation :
We can conclude that the equation that represents the path of the comet is
We know that the vertex of the parabola is (0,0), and the sun is the focus of the parabola; we also know that the focus is in the positive y-axis and when the comet is as its vertex, the distance between them is 60'000.000 km; therefore the focus of our parabola is (0, 60'000.000).
Now that we know the focus, we can find
Now, the only thing left is replacing the value of
We can conclude that the equation that represents the path of the comet is