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What is the distance between (-6, 4)(−6,4)left parenthesis, minus, 6, comma, 4, right parenthesis and (-8, 6)(−8,6)left parenthesis, minus, 8, comma, 6, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A 222 (Choice B) B 333 (Choice C) C \sqrt{4} 4 ​ square root of, 4, end square root (Choice D) D \sqrt{8} 8

Respuesta :

Answer:

D. [tex]\sqrt{8}[/tex]

Step-by-step explanation:

We want to find the distance between (-6, 4) and (-8, 6).

First, we find the difference:

d = (-8 - (-6), 6 - 4)

d = (-8 + 6, 2)

d = (-2, 2)

We now find the magnitude:

[tex]|d| = \sqrt{x^2 + y^2}[/tex]

where x = x coordinate, y = y coordinate

[tex]|d| = \sqrt{(-2)^2 + (2)^2} \\\\|d| = \sqrt{4 + 4} = \sqrt{8}[/tex]

The answer is Choice D.

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