The radius is the distance from the center to any point. The distance from (2,1) to (0,1) is of course 2. The general formula for a circle with radius r and center (a,b) is
In our case we get
In our case we get
Line p passes through A(-2, -4) and has a slope of -1/2. What is the standard form of the equation for line p?
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Let be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are
where are the positions of trains A and B respectively, and t is the time in hours.
The two trains meet if and only if , and we know that this happens after two hours, i.e. at
Solving this equation for v we have
So, train A is travelling at 105 km/h. This implies that train B travels at