Find the solutions of each equation on the interval [0, 2π)
1 answer:
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<h2>Answer:</h2>
The origin of the coordinate system is the center of the circle. So we have an angle that measures . so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:
Finally, the exact value of the position of the rider after the carousel rotates radians is:
Answer:
The first table.
Step-by-step explanation:
A slope of 0 means that as x increases, y stays the same. In the first table, all of our y-values are 2; this means that y stays constant.
To prove it, we use our formula for slope:
The slope of the line between the first two points is
(2-2)/(-3--1) = 0/-2 = 0
The slope of the line between the second pair of points is
(2-2)/(-1-1) = 0/-2 = 0
The slope of the line between the next pair of points is
(2-2)/(1-3) = 0/-2 = 0
Since the slope between each pair of points is 0, the slope of the entire line is 0.