Respuesta :

The distance d between two points (x1, y1) and (x2,y2) is given by:

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

Substitute x1 = -1, y1 = 8, x2 = -5, and y2 = -6:

[tex]\begin{gathered} d=\sqrt{(-5-(-1))^2+(-6-8)^2} \\ d=\sqrt{(-5+1)^2+(-14)^2} \\ d=\sqrt{16+196}=\sqrt{212}\approx14.5602 \\ d\approx14.6 \end{gathered}[/tex]

Therefore, the correct answer is choice B:

14.6

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