1.A comet's path as it approaches the sun is modeled by one branch of the hyperbola described by the equation below, where the sun is at the corresponding focus. Each unit of the coordinate plane represents 1 million miles. Find the coordinates of the sun, assuming that it is at the focus with nonnegative coordinates. Enter your answer as an ordered pair; example: (10, 20)

2.How close does the comet come to the sun?

3.When the comet is far from the sun, the comet's path can be modeled by the hyperbola's asymptotes. Write the equations of the asymptotes.

3 years ago

Question

1.A comet's path as it approaches the sun is modeled by one branch of the hyperbola described by the equation below, where the sun is at the corresponding focus. Each unit of the coordinate plane represents 1 million miles. Find the coordinates of the sun, assuming that it is at the focus with nonnegative coordinates. Enter your answer as an ordered pair; example: (10, 20)

2.How close does the comet come to the sun?

3.When the comet is far from the sun, the comet's path can be modeled by the hyperbola's asymptotes. Write the equations of the asymptotes.

    3 years ago

amistre64 · Answer

sqrt(under.x + under.y) = distance of focus from center in a hyperbola

amistre64 · Answer

the positive part usually defines the vertex, which is the nearest point to the focus right?

amistre64 · Answer

and of course the sqrts of the under.y/under.x  form the slope of the asymptotes