Respuesta :

Answer:

5

Step-by-step explanation:

A(-2 , 1)   ; B(2 , 4)

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

              [tex]= \sqrt{(2-[-2])^{2}+(4-1)^{2}}\\\\= \sqrt{(2+2)^{2}+(4-1)^{2}}\\\\= \sqrt{(4)^{2}+(3)^{2}}\\\\= \sqrt{16+9}\\\\= \sqrt{25}\\\\= \sqrt{5*5}\\\\= 5[/tex]