2 years ago

How many miles can a trumble car travel around town with a full tank?please help

Mathematics

1 answer:

vladimir2022 [97]2 years ago

8 0

Answer:

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3 years ago

Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4.

CaHeK987 [17]

<u>Answer:</u>

$y=-\frac{1}{16} x^2$

<u>Step-by-step explanation:</u>

Equation of parabola with focus at (0,-4) and directrix is $y=4$ .

We know that parabola is the locus of all the points such that the distance from fixed point on the parabola to fixed line directrix is the same.

The parabola is opening downwards.

Let any point on parabola is (x,y).

Distance from focus(0,-4) to (x,y) = $\sqrt{(x-0)^2+(y-(-4))^2}=|y-4|$

$\sqrt{(x-0)^2+(y-+4)^2}=|y-4|$

$(x-0)^2+(y+4)^2=(y-4)^2$

$(x)^2+(y+4)^2=(y-4)^2$

$x^2+(y^2+4y+4y+16)=y^2-4y-4y+16$

$x^2+y^2+8y+16=y^2-8y+16$

$x^2+16y^2=0$

$16y=-x^2$

$y=-\frac{1}{16} x^2$

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2 years ago

How many miles can a trumble car travel around town with a full tank?please help​

How many miles can a trumble car travel around town with a full tank?please help