What is the distance between (5,-3) and (0,9)?

1 Answer
Jim G.
Feb 19, 2016

13 units

Explanation:

To calculate the distance between 2 points use the color(blue)(" distance formula " distance formula

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

where (x_1,y_1) , (x_2,y_2) " are the coords of the 2 points "(x1,y1),(x2,y2) are the coords of the 2 points

here , let (x_1,y_1) = (5,-3) " and " (x_2,y_2) = (0,9)(x1,y1)=(5,−3) and (x2,y2)=(0,9)

hence d = sqrt((0-5)^2 + (9-(-3))^2) = sqrt(25 + 144) = sqrt169 = 13=√(0−5)2+(9−(−3))2=√25+144=√169=13

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