Respuesta :

Answer: 25

Step-by-step explanation:

[tex]x_{1}[/tex] = -3

[tex]x_{2}[/tex] = 21

[tex]y_{1}[/tex] = 4

[tex]y_{2}[/tex] = 11

The formula for calculating distance between two points is given as :

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

Substituting the values , we have

D = [tex]\sqrt{(21-[-3])^{2}+(11-4)^{2}}[/tex]

D = [tex]\sqrt{(21+3)^{2}+(11-4)^{2}}[/tex]

D = [tex]\sqrt{(24)^{2}+(7)^{2}}[/tex]

D = [tex]\sqrt{625}[/tex]

D = 25