For the following exercises, assume an object enters our solar system and we want to graph its path on a coordinate system with the sun at the origin and the x -axis as the axis of symmetry for the objects path. Give the equation of the flight path of each object using the given information. 66. The object enters along a path approximated by the line y = x − 2 and passes within 1 au (astronomical unit) of the sun at its closest approach, so that the sun is one focus of the hyperbola. It then departs the solar system along a path approximated by the line y = - x + 2 .
For the following exercises, assume an object enters our solar system and we want to graph its path on a coordinate system with the sun at the origin and the x -axis as the axis of symmetry for the objects path. Give the equation of the flight path of each object using the given information. 66. The object enters along a path approximated by the line y = x − 2 and passes within 1 au (astronomical unit) of the sun at its closest approach, so that the sun is one focus of the hyperbola. It then departs the solar system along a path approximated by the line y = - x + 2 .
For the following exercises, assume an object enters our solar system and we want to graph its path on a coordinate system with the sun at the origin and the x-axis as the axis of symmetry for the objects path. Give the equation of the flight path of each object using the given information.
66. The object enters along a path approximated by the line
y
=
x
−
2
and passes within 1 au (astronomical unit) of the sun at its closest approach, so that the sun is one focus of the hyperbola. It then departs the solar system along a path approximated by the line
y
=
-
x
+
2
.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
InThe Northern Lights are bright flashes of colored light between 50 and 200 miles above Earth.
Suppose a flash occurs 150 miles above Earth. What is the measure of arc BD, the portion of Earth
from which the flash is visible? (Earth’s radius is approximately 4000 miles.)
e).
n!
(n - 1)!
Suppose you flip a fair two-sided coin four times and record the result.
a). List the sample space of this experiment. That is, list all possible outcomes that could
occur when flipping a fair two-sided coin four total times. Assume the two sides of the coin are
Heads (H) and Tails (T).
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