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Mathematics

Calculate the distance between A(7, 3) and B on the x-axis whose abscissa is 11.

Coordinate Geometry

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Answer

The coordinate of point B on the x-axis whose abscissa is 11, are (11, 0).

Distance between 2 points (x1, y1) and (x2, y2) = (x2x1)2+(y2y1)2\sqrt{(x2 - x1)^2 + (y2 - y1)^2}

Distance between A(7, 3) and B(11, 0) =

=(117)2+(03)2=42+(3)2=16+9=25=5= \sqrt{(11 - 7)^2 + (0 - 3)^2}\\[1em] = \sqrt{4^2 + (-3)^2}\\[1em] = \sqrt{16 + 9}\\[1em] = \sqrt{25}\\[1em] = 5

Hence, the distance between A(7, 3) and B on the x-axis, whose abscissa is 11, is 5 units.

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