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yuradex [85]
3 years ago
6

PLS HELP. BRAINLIEST/5 STARS TO CORRECT ANSWER

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0

Where p is the distance the focus is above the vertex, the equation of a parabola with vertex (h, k) can be written as

... y = 1/(4p)·(x -h)² +k


The vertex is halfway between the focus and directrix. The focus of your parabola is on the y-axis at y=6, and the directrix of your parabola is at y=-6, so the vertex of your parabola is on the y-axis at y=0. That is, the vertex is

... (h, k) = (0, 0).


The distance p from the focus at y=6 to the vertex at y=0 is 6 units, so

... p = 6.


Filling these values into the equation gives

... y = 1/(4·6)·(x -0)² +0

... y = (1/24)x²

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VladimirAG [237]

Hey there!

The correct answer is 30 miles per gallon.

If he can drive 270 miles on 9 gallons, we want to find the unit rate, or miles per gallon. We can do this by dividing 270 by 9. To make it easier, we will take off the zero, and do 27/9, which is 3. Now we add the 0 back on, which gives us 30. Therefore, his average mileage is 30 miles per gallon.

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