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Dafna11 [192]
3 years ago
14

Find the distance between the points (-2, 4) and (4, -6). 0 212 2/(10) O2V(34)

Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

2\sqrt{34}

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)

d = \sqrt{(4+2)^2+(-6-4)^2}

  = \sqrt{6^2+(-10)^2}

  = \sqrt{36+100}

  = \sqrt{136} = \sqrt{4(34)} = \sqrt{4} × \sqrt{34} = 2\sqrt{34}

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