(A) As noted earlier, ( 4 , 3 ) is a solution of the equation 3 x − 2 y = 6 Find three more solutions of this equation. Plot these solutions in a Cartesian coordinate system . What familiar geometric shape could be used to describe the solution set of this equation? (B) Repeat part (A) for the equation x = 2. (C) Repeat part (A) for the equation y = − 3.
(A) As noted earlier, ( 4 , 3 ) is a solution of the equation 3 x − 2 y = 6 Find three more solutions of this equation. Plot these solutions in a Cartesian coordinate system . What familiar geometric shape could be used to describe the solution set of this equation? (B) Repeat part (A) for the equation x = 2. (C) Repeat part (A) for the equation y = − 3.
(A) As noted earlier,
(
4
,
3
)
is a solution of the equation
3
x
−
2
y
=
6
Find three more solutions of this equation. Plot these solutions in a Cartesian coordinate system. What familiar geometric shape could be used to describe the solution set of this equation?
(B) Repeat part (A) for the equation
x
=
2.
(C) Repeat part (A) for the equation
y
=
−
3.
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.
Two mechanical gears are adjacent to each other. The larger gear is the prime mover for rotating the smaller gear. Find the coordinates of the points of Intersection if their equations are x^(2)+y^(2)-3x-4y+18=0 and x^(2)+y^(2)-14x+ 2y+42=0. Solve this problem and graph.
number 10-12 determine if the given equations are parallel, perpendicular, or neither?
Three sisters run a lawn mowing service. Their biggest customer is an award-winning gardener. The focal point of her lawn is a semicircular plot 400 meters in diameter. She insists that it be mowed in strips parallel to the diameter. Therefore, to optimize their time, the sisters divide the plot into three regions of equal area using two cuts parallel to the diameter. Determine the equations (of the form y=k) for the two parallel cuts.
Which pair of cuts divide the space into three equal areas?
y=40 & y=100
y=53 & y=111
y=65 & y=118.
Chapter 1 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
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