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. 69. The object enters along a path approximated by the line y = 1 3 x − 1 and passes within 1 au of the sun at its closest approach, so the sun is one focus of the hyperbola. It then departs the solar system along a path approximated by the line y = − 1 3 x + 1 .
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. 69. The object enters along a path approximated by the line y = 1 3 x − 1 and passes within 1 au of the sun at its closest approach, so the sun is one focus of the hyperbola. It then departs the solar system along a path approximated by the line y = − 1 3 x + 1 .
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.
69. The object enters along a path approximated by the line
y
=
1
3
x
−
1
and passes within 1 au of the sun at its closest approach, so the sun is one focus of the hyperbola. It then departs the solar system along a path approximated by the line
y
=
−
1
3
x
+
1
.
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.
d. 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 object's path. Give the equation of the flight path of the
object using the given information:
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.
Name the coordinates of the point F (-4, -9) after a reflection across the y-axis.
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
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