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yuradex [85]
4 years ago
12

Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.

Mathematics
1 answer:
Sidana [21]4 years ago
4 0

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y)  from the focus is

√[(x -  -8)^2  + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x -  -8)^2  + (y - -1)^2] = y + 4

Squaring both sides:

(x + 8)^2 + (y + 1)^2  = (y + 4)^2

x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

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18% as a fraction and percentage
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Answer:

9/50 and 18%.

Step-by-step explanation:

18% is already a percentage.

To convert this into a fraction, put the number over 100:

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Note: The decimal form will be 0.18.

4 0
3 years ago
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3 years ago
Please help a brother out !!
jok3333 [9.3K]

1. Each number on the second line of the table is 5 times that on the first line. Costs are: $1000, $2000, $2500

2. c = 5t . . . t > 0

3. Each number on the second line of the table is 15 times the magnitude of that on the first line. Costs are: $3000, $6000, $7500

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4 years ago
The sum of four consecutive odd numbers is 80 find the number
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Answer:

Let the numbers are

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Step-by-step explanation:

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4 0
3 years ago
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