Question

Question is in the photo find the distance between the points

Answer 1

Given:

The two points are

`\begin{gathered} (7,-1)and \\ (5,9) \end{gathered}`

Required:

To find the distance between the given two points.

Step-by-step explanation:

The distance between the points (x1,y1) and (x2,y2) is

`d=√((x2-x1)^2+(y2-y1)^2)`

Now

`\begin{gathered} d=√((5-7)^2+(9-(-1))^2) \\ \\ =√((-2)^2+10^2) \\ \\ =√(4+100) \\ \\ =√(104) \\ \\ =2√(26) \end{gathered}`

Final Answer:

The distance between the points (7,-1) and (5,9) is

`2√(26)`