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jeka94
3 years ago
10

Melanie's car used 9 ballons to travel 306 miles. How far can she travel on 11 gallons?

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0
Melanie can travel 374 miles on 11 gallons. This is because when you divide 306 by 9 you get 34 so u multiply 34 by 11 and you get 374.
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Step-by-step explanation:

Since the directrix is of the form y = a, the parabola is vertical. The vertex of the parabola (V(x,y)) is the midpoint between the focus (F(x,y)) and a point of the directrix (P(x,y)), that is to say:

V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y) (1)

If we know that F(x,y) = (0, -3) and P(x,y) = (0, 3), then the coordinates of the vertex of the parabola:

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The vertex factor (p) is the distance of the focus with respect to the vertex:

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