1) A comet that passes through the solar system just once has a path that is modeled by a conic section. Astronomers discover a comet whose path is modeled by the following equation, with the Sun at one focus. What type of conic section is the comet's path?
x^2/2,500-y^2/37,500=1

2) What are the vertices of the comet's path? (Hint: Examine the general formula for the path and identify the numbers that determine the vertices.)

3) At its closest point to the Sun, this comet is ____ million miles from the Sun. (Enter only the number.)
Hint: Subtract the vertex from the focus

Question

ApperendJack ApperendJack

06-12-2016
Mathematics

contestada

1) A comet that passes through the solar system just once has a path that is modeled by a conic section. Astronomers discover a comet whose path is modeled by the following equation, with the Sun at one focus. What type of conic section is the comet's path?
x^2/2,500-y^2/37,500=1

2) What are the vertices of the comet's path? (Hint: Examine the general formula for the path and identify the numbers that determine the vertices.)

3) At its closest point to the Sun, this comet is ____ million miles from the Sun. (Enter only the number.)
Hint: Subtract the vertex from the focus

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Аноним Аноним · Answer 1 · 2016-12-08T07:05:32+01:00

The answers are as follows:

1) see the – in front of y, The answer would be hyperbola.

2) see 2500 under x²? √2500 = ±50 on the x axis are the vertices

3) focus² = 2500 + 37,500 = 40,000

focus = 200

focus – vertex = 200 - 50 = 150 million miles

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