Respuesta :

Answer:

[tex]BA=\sqrt{13}[/tex]

Step-by-step explanation:

We are given two point B(-3,-1) and A(0,1)

We need to find distance BA

Using distance formula of two coordinate

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where,

[tex](x_1,y_1)\rightarrow (-3,-1)[/tex]

[tex](x_2,y_2)\rightarrow (0,1)[/tex]

Now we substitute points into formula and we get BA

[tex]BA=\sqrt{(0-(-3))^2+(1-(-1))^2}[/tex]

[tex]BA=\sqrt{(0+3)^2+(1+1)^2}[/tex]

[tex]BA=\sqrt{3^2+2^2}[/tex]

[tex]BA=\sqrt{9+4}[/tex]

[tex]BA=\sqrt{13}[/tex]

Thus, Distance BA would be [tex]\sqrt{13}[/tex]

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