2 years ago

Please help me! Im so confused. If you could explain, too that would be great!!! <3

Mathematics

1 answer:

Zielflug [23.3K]2 years ago

8 0

Answer:

the base length is 8 units

Step-by-step explanation:

You can use pythagorean theorem to solve this

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monitta

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3 years ago

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)

umka2103 [35]

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.

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