Respuesta :

Answer:

√20

Step-by-step explanation:

We can find Distance between two points by following formula:

d=[tex]\sqrt({x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Given points are (-1,1) and( 1,3).

let [tex]x_{1} =-1[/tex]  and [tex]y_{1} =-1[/tex]

    [tex]x_{2} =1[/tex]   and [tex]y_{2} =3[/tex]

Putting above values in formula to find distance,we get

d=[tex]\sqrt{(1-(-1))^{2}+(3-(-1))^{2}  }[/tex]

d=[tex]\sqrt{(1+1)^{2}+(3+1)^{2}  }[/tex]

d=[tex]\sqrt{(2)^{2}+(4)^{2} }[/tex]

d=[tex]\sqrt{4+16}[/tex]

d=√20 is the distance between given two points.

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