+0  
 
0
42
1
avatar

What is the x- coordinate of the point on the x-axis that is equidistant from points A( -2, 0) and B(0,4)?

 May 20, 2021
 #1
avatar+119906 
+1

Let  the  point  be (x , 0)

 

We  can  solve this  equating the squares of  the distance formula

 

( x - - 2)^2  +  (0-0)^2     =  (0 -x)^2  + (4 - 0)^2       

 

(x + 2)^2    =  x^2  +  16   

 

x^2  + 4x  + 4   =   x^2   +  16

 

4x  +  4  =  16

 

4x  =  16 - 4

 

4x  =  12

 

x  =  3

 

 

cool cool cool

 May 20, 2021

15 Online Users

avatar
avatar
avatar