On a coordinate grid what is the distance from C(5, 8) to D(5, 1)?

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Answer 1 · 2015-04-08T08:09:11

Given the two points # (x_1, y_1) and (x_2, y_2)#, the Distance between them is given by the formula:

#color(green)( d = sqrt((x_2-x_1)^2+(y_2-y_1)^2#

Here, the coordinates of the points are # (5, 8) and (5, 1)#

#d_(CD) = sqrt((5-5)^2+(1-8)^2#

= #sqrt((0)^2+(-7)^2#

= #sqrt(0+49)#

= #sqrt(49)#

= # 7 # units

The distance from C(5, 8) to D(5, 1) is #7# units.