The coordinates of the endpoints of AB are A(−4, 4) and B(2, 1). Which measurement is closest to the length of AB in units?
A) 6.2 units
B) 6.7 units
C) 7.1 units
D) 7.5 units

Respuesta :

Answer:

The closest length of AB is 6.7 units ⇒ answer B

Step-by-step explanation:

∵ A = (-4 , 4) and B = (2 , 1)

∵ [tex]AB=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ AB = [tex]\sqrt{(2 - -4)^{2}+(1 - 4)^{2}}=\sqrt{36+9}=\sqrt{45}=6.71[/tex]

∴ AB = 6.71 ≅ 6.7 units

B) 6.7 units

I'm sure of my answer.

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