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What is the distance between the points ( - 1 , -3 ) and ( 5 , -2 )

1 Answer

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Explanation:

let the point A( - 1 , -3 ) and B( 5 , -2 )

here, x1 = -1; x2 = 5

y1 = -3; y2 = - 2

Now, the distance between A and B


AB = \sqrt{(x _(1) - {x}_(2) ) {}^(2) + (y _(1) - y _(2)) {}^(2) }


AB = \sqrt{( - 1 - 5) {}^(2) + ( - 3 ( - 2) {}^(2) }


AB = √(36 + 1) = √(37)

Thus, The Distance between AB is


√(37)

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