+0  
 
0
97
4
avatar+269 

Again, I wish I could type it to cut down on the picture questions, but any help is appreciated!! I believe the answer is 6, but I am not so sure. 

 

LaughingFace  Apr 26, 2018
 #1
avatar+92805 
+2

I would guess 6 too but I don't really understand this question.

Melody  Apr 26, 2018
 #2
avatar+87301 
+3

The answer is 6.....to see this....let C = (0, 0)  and let D  = (9, 0)

[These are arbitrary...we can pick any two points that are 9 units apart ]

 

Then CD  = 9

 

The first transformation doesn't do anything to the length....it just shifts  C  to the right 3 units and down 2 units  ...so.... C'  =  (3, - 2)

 

And it does the same to D.....so we have D' =  (12, - 2)

 

The second transformation  is applied to both of these points.....so 

C''  = (2/3)(3, - 2)  =   (2, - 4/3)

 

And D''  = (2/3)(12, - 2)  =  ( 8, - 4/3)

 

And the distance between these points is

 

sqrt [  (8 - 2)^2 + ( -4/3  -  - 4/3)^2  ]  =

 

sqrt [ 6^2  + 0^2 ]  =

 

sqrt [ 36 ]  =  

 

6     .....just as we suspected !!!!!!

 

 

cool cool cool

CPhill  Apr 26, 2018
 #3
avatar+92805 
+1

Thanks Chris :)

Melody  Apr 26, 2018
 #4
avatar+269 
+2

Thanks!! 

LaughingFace  Apr 26, 2018

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