The length of the segment between the points (2a, a-4) and (4, -1) is 2\sqrt{10} units. What is the product of all possible values for a?

 Aug 26, 2018
edited by Guest  Aug 26, 2018

The distance in the plane, that is: Formula: \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) . We have the points, (2a, a-4) and (4,-1).

\(\sqrt{(4-2a)^2+(-1-a-4)^2}=2\sqrt{10}\), so we get a=1, a=1/5. So, there are two values! Thus, 1*1/5=1/5!

 Aug 26, 2018

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