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# Help

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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?

Guest Aug 26, 2018
edited by Guest  Aug 26, 2018
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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!

mathtoo  Aug 26, 2018