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avatar+248 

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

Thanks!

 Jun 11, 2019
 #1
avatar+102417 
+2

We know the y coordinate wil be 0....so...let the point be (x,0)

 

And we need to solve this

 

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

 

x^2 + 4^2  = x^2 + 4x + 4

 

x^2 + 16  = x^2 + 4x + 4  

 

12 = 4x

 

3  = x

 

So  the point is (3,0)

 

 

cool cool cool

 Jun 11, 2019
 #2
avatar+248 
+1

thanks!

sinclairdragon428  Jun 12, 2019

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