+0  
 
0
67
5
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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?

 Aug 3, 2020
 #1
avatar+161 
+1

EP, can you help?

 Aug 3, 2020
 #2
avatar+161 
+1

EletricParlov, can you help???smiley I don't know how to explain this :(

tigernathan  Aug 3, 2020
edited by tigernathan  Aug 3, 2020
 #3
avatar+781 
+4

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

 Aug 3, 2020
 #4
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0

Whoever helps me, thanks.

 Aug 3, 2020
 #5
avatar+26767 
+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  

 Aug 3, 2020

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