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How is the distance formula correctly written:
d = (y1 − y2)2 −(x2 − x1)2 d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\ d = (y1 − y2)2 −(x2 − x1)2
d = (x2 − x1)2 + (y2 − y1 )2d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}d = (x2 − x1)2 + (y2 − y1 )2
d = (y1 − y 2)2 + (x2 − x1)2d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2d = (y1 − y 2)2 + (x2 − x1)2
d = (x)2− (y)2\sqrt{\left(x\right)^2-\ \left(y\right)^2}(x)2− (y)2
A(3,1) B(-2,-1) written correctly is:
(−2−3)2 + (−1−1)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}(−2−3)2 + (−1−1)2
(1−3)2 + (−1−2)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}(1−3)2 + (−1−2)2
(−2−3)2 − (−1−1)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}(−2−3)2 − (−1−1)2
A(2,0) B(-2,4) is written as
d = (4−2)2 − (0−2)2d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}d = (4−2)2 − (0−2)2
d = (4−0)2 − (−2−2)2d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}d = (4−0)2 − (−2−2)2
d = (−2 +0)2 + (4+2)2d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}d = (−2 +0)2 + (4+2)2
d = (−2−2)2 + (4−0)2d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}d = (−2−2)2 + (4−0)2
What is the distance between AB?
0
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5
4
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