+0  
 
0
36
2
avatar+192 

So here's the problem. 

 

line DA is the perp bisector of segment RW. D= (2,x) , R = (-x,-3), and W = (6, x-3). Find the coordinates of D.

 

 

So basically I assumed that they intercept at the origin and got D= (2,3). 

 

 

Is this right? 

Maplesnowy  Nov 6, 2018
 #1
avatar+91213 
+2

 

 

I guess we have something like this situation  (??? )

 

                    A

 

R                 D                      W

 

R = ( -x , - 3  )       W  =  ( 6, x - 3)

 

Midpoint of RW  =    ( (6 - x) / 2  ,  ( x - 3 - 3) / 2 ]   =  [ (6 - x) / 2 , (x - 6) / 2 ]

 

So,...since  D  = ( 2 , x)  = the midpoint

 

We have

 

(6 - x) / 2  = 2  ⇒   6 - x  = 4  ⇒  x = 2         

So...R = ( -2, - 3)

 

And

(x - 6) / 2   =  x  ⇒  x - 6  =  2x  ⇒  -6 = x   ⇒  x = - 6  

So....W  =  ( 6, - 9)

 

So   R =  ( -2, -3)     W  =  ( 6, -9)    and  D  =  (2, - 6)  

 

 

 

cool cool cool

CPhill  Nov 6, 2018

38 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.