(-21,-7) and(-25,-22)

Question

What is the distance of the equation that it had given me? 

Answer 1

The square of the distance between two points (a,b) and (x,y) is

 

d^2 = (a-x)^2 + (b-y)^2

 

So we have (-21,-7) and (-25,-22), so that

 

d^2 = (-21 - -25)^2 + (-7 - -22)^2

       = (-21 + 25)^2 + (-7 + 22)^2 

       = 4^2 + (15)^2

       = 16 + 225

       = 241

So we have d^2= 241. Now all we need to do is take the square root to get the answer

 

d= sqrt(241) = 15.5241746963