Question

Find the distance between the points X and Y shown. Y -8 -6 O √5 √√29 O √21 51. X 00 6 HA T -6 00 H LO 10

Answer 1

Notice that the coordinate of the points are:

`X(-2,0),Y(3,-2)`

The distance between X and Y is:

`XY=√((3-(-2)^2+(-2-0)^2)`

This gives:

`\begin{gathered} XY=√(5^2+2^2) \\ XY=√(25+4) \\ XY=√(29) \end{gathered}`

Therefore the distance between X and Y is:

`√(29)`