Perpendicular lines have slopes that are negative reciprocals of each other, so the equation of the line in point-slope form is:
Rewriting this in standard form,
Write an equation that models this situation. At a sports banquet, 8 guests are seated at each of the 15 available tables. How m
1 answer:
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Answer: y-axis.
Explanation:
The equation <span>r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.
The logical way is to graph in polar coordinates. I did it using </span>a graphing software and obtained the attached graph.
Also, I attached the graph in cartesian coordinates.
Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).
<span> <span><span> θ (rad) r = 3 - 4 sin θ </span> <span>
0 3 </span> <span>
π/8 2.61731657 </span>
<span> π/4 2.29289322 </span> <span>
3π/8 2.07612047
</span> <span> π/2 2
</span> <span> 5π/8 2.07612047 </span> <span>
3π/4 2.29289322 </span> <span>
7π/8 2.61731657 </span> <span>
π 3 </span> <span>
9π/8 3.38268343 </span> <span>
5π/4 3.70710678 </span> <span>
11π/8 3.92387953 </span> <span>
3π/2 4 </span> <span>
13π/8 3.92387953 </span> <span>
7π/4 3.70710678 </span> <span>
15π/8 3.38268343 </span> <span>
2π 3 </span> </span></span>
In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.
Therefore, the graph is symmetric about the y-axis.
Explanation:
The equation <span>r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.
The logical way is to graph in polar coordinates. I did it using </span>a graphing software and obtained the attached graph.
Also, I attached the graph in cartesian coordinates.
Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).
<span> <span><span> θ (rad) r = 3 - 4 sin θ </span> <span>
0 3 </span> <span>
π/8 2.61731657 </span>
<span> π/4 2.29289322 </span> <span>
3π/8 2.07612047
</span> <span> π/2 2
</span> <span> 5π/8 2.07612047 </span> <span>
3π/4 2.29289322 </span> <span>
7π/8 2.61731657 </span> <span>
π 3 </span> <span>
9π/8 3.38268343 </span> <span>
5π/4 3.70710678 </span> <span>
11π/8 3.92387953 </span> <span>
3π/2 4 </span> <span>
13π/8 3.92387953 </span> <span>
7π/4 3.70710678 </span> <span>
15π/8 3.38268343 </span> <span>
2π 3 </span> </span></span>
In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.
Therefore, the graph is symmetric about the y-axis.
