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.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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