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What is the approximate length of a line segment connecting points A and B?

Point A: 3, 6
Point B: 2, -4
Point D: -2, 6

A. 10 units
B. 15 units
C. 13 units
D. 11 units

Respuesta :

Answer:

A. [tex]\displaystyle 10\:units[/tex]

Step-by-step explanation:

Use the Distance Formula:

[tex]\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = D \\ \\ \sqrt{[-3 + 2]^2 + [-6 - 4]^2} = \sqrt{[-1]^2 + [-10]^2} = \sqrt{1 + 100} = \sqrt{101} ≈ 10,04987562 ≈ 10[/tex]

Since we are talking about distance, we ONLY want the NON-NEGATIVE root.

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