What is the distance between (7,-22)(7,−22) and (-1,-4)(−1,−4)?

1 Answer
smendyka
Sep 5, 2017

See a solution process below:

Explanation:

The formula for calculating the distance between two points is:

d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)d=√(x2−x1)2+(y2−y1)2

Substituting the values from the points in the problem gives:

d = sqrt((color(red)(-1) - color(blue)(7))^2 + (color(red)(-4) - color(blue)(-22))^2)d=√(−1−7)2+(−4−−22)2

d = sqrt((color(red)(-1) - color(blue)(7))^2 + (color(red)(-4) + color(blue)(22))^2)d=√(−1−7)2+(−4+22)2

d = sqrt((-8)^2 + 18^2)d=√(−8)2+182

d = sqrt(64 + 324)d=√64+324

d = sqrt(388)d=√388

d = sqrt(4 * 97)d=√4⋅97

d = sqrt(4)sqrt(97)d=√4√97

d = 2sqrt(97)d=2√97

Or

d = 19.698d=19.698 rounded to the nearest thousandth.

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