Respuesta :

Answer:

[tex]d=\sqrt{29}[/tex]

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

[tex]d=\sqrt{(w-x)^2+(z-y)^2}[/tex]

The graph shows two points: (-1,-8) and (1,-3).

Apply the formula:

[tex]d=\sqrt{(1+1)^2+(-3+8)^2}[/tex]

[tex]d=\sqrt{2^2+5^2}[/tex]

[tex]d=\sqrt{4+25}[/tex]

[tex]\boxed{d=\sqrt{29}}[/tex]

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