4 years ago

Help please:( ...........

Mathematics

1 answer:

tia_tia [17]4 years ago

4 0

Subtraction, each degree together:

(-3x-5)-(4x-2) = (-3x-4x) + (-5+2) = -7x+-3

Looks like B!

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The registration period for the race is under way, and as the word is getting out, the number of participants registering is gro

Olin [163]

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y = 15(1 + 6)ˣ

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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.

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