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what are the coordinates for point \( c\) ? Express your answer as an ordered pair.

 Dec 8, 2020
 #1
avatar+114221 
+2

New point  C = 

 

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

 

[ 14 + (1/3) (12)  ,    2  +  (1/3)(6)  ]  =

 

[ 14  + 4 , 2 + 2  ]  =

 

( 18 , 4)

 

 

cool cool cool

 Dec 8, 2020
 #2
avatar+467 
+1

Thanks for trying but it is incorrect

 Dec 8, 2020
 #3
avatar+467 
+1

The answer to this problem is actally 18,6

 Dec 8, 2020
 #4
avatar+114221 
+2

Sorry....I  made a slight mistake...it should be

 

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

 

[ 14 + 4,  4 + 2  ]  =

 

(18,  6)

 

Which agrees with your answer

 

THX for the correction   !!!!

 

cool cool cool

CPhill  Dec 8, 2020
edited by CPhill  Dec 8, 2020
 #5
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From A to B, the x coordinate increases by 12 and the y coordinate increases by 6.  If we continue on for 1/3 of this distance, we will add $1/3*12 = 4$ to the x coordinate and $1/3*6 =2$ to the y coordinate, to get $C = (14+4,4+2) = (18,6)$

 Dec 11, 2020

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