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 3, 2020

#3**+4 **

Try substituting all of this into the distance formula first and expand. See where you can go from there.

gwenspooner85 Aug 3, 2020

#5**+1 **

USe distance formula

(2a-4)^2 + (a-4 - -1)^2 = (2 sqrt10)^2

4a^2 - 16a + 16 + a^2 -6a +9 = 40

5a^2 - 22a -15 = 0 quadratic formula shows a = 5 or - 0.6 you can take it from here

ElectricPavlov Aug 3, 2020