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Len [333]
3 years ago
5

A car can travel 120 miles on 4 gallons of gasoline. How much gasoline will it need to go 510 miles?

Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

17

Step-by-step explanation:

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What fraction is at the same location as 1/4
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Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)
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Focus of the parabola is (-5,5) and directrix is y = -1.

Let's assume a point (x,y) on parabola.

According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.

\sqrt{(x+5)^2+(y-5)^2} = \sqrt{(y+1)^2} \\\\(x+5)^2+(y-5)^2=(y+1)^2 \\\\(x+5)^2 + y^2 - 10y +25 = y^2 +2y +1 \\\\(x+5)^2 =  -y^2 +10y -25 + y^2 +2y +1 \\\\(x+5)^2 = 12y -24 \\\\12y =  (x+5)^2  +24 \\\\ y = \frac{1}{12} (x+5)^2  +2

Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.

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Plzzzzz give me Brainliest!!!!!  

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