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A segment with endpoints at A(2, -2) and B(14, 4) is extended through B to point C. If BC = 1/3 AB, what are the coordinates for point C? Express your answer as an ordered pair.

 Feb 17, 2021
 #1
avatar+120287 
+3

C  = 

 

[ x coordinate of B  +  (1/3) ( x coordinate of B  -x coordinate of A)  ,   y coordinate of B  + (1/3) ( y coordinate of B  -y coordinate of A) ]

 

 [  14 +  (1/3)( 14  - 2)   ,  4 + (1/3) ( 4 - - 2)   ]  =

 

[ 14  + (1/3)(12)   ,  4  + (1/3)(6)  ]  =

 

[14  + 4  ,  4  +  2  ]  =

 

(  18  ,  6 )

 

 

cool cool cool

 Feb 17, 2021
 #2
avatar+39 
+1

Thank you so much! I am really grateful to all of you!

 Feb 17, 2021
 #3
avatar+120287 
+1

OK......that's what we're  here  fer    !!!

 

 

 

cool cool cool

CPhill  Feb 17, 2021

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