Coordinates question

Mathematics
Tutor: None Selected Time limit: 1 Day

What is the distance between points with the coordinates (-4,7) and (15,-4)?

Apr 30th, 2015

Distance between two points is (usally) a straight line. Plot (-4,7) and (15,-4), then draw a straight line between them. Now draw a vertical line thru x = -4 and a horizontal line through y = -4. You should see a triangle. The line connecting (-4,7) and (15,-4) is the hypotenuse of a right triangle. You can determine the distance using the Pythagorean theorem or, equivalently, you can calculate sqrt[(-4-15)^2 + (7-(-4))^2] = 

sqrt((-19)^2 + 11^2) = sqrt(361 + 121) = sqrt(482) ~ 21.96.

Apr 30th, 2015

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Apr 30th, 2015
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