If A = (-1,-3) and B = (11,-8), what is the length of AB?
A. 14 units
B. 13 units
C. 11 units
D. 12 units
SUBMIT
A

Respuesta :

Answer:

B

Step-by-step explanation:

Use the distance formula:

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

Let (-1,-3) be [tex]x_1[/tex] and [tex]y_1[/tex], while (11,-8) be [tex]x_2[/tex] and [tex]y_2[/tex].

Thus:

[tex]d=\sqrt{((11)-(-1))^2+((-8)-(-3))^2[/tex]

[tex]d=\sqrt{12^2+(-5)^2}[/tex]

[tex]d=\sqrt{144+25} =\sqrt{169} =13[/tex]