Sunday, July 28, 2013

Calculate the distance between points (-1,7) and (-2,3)?

Recalling the distance formula derivatived from the
Pythagorean theorem,


d=
sqrt((x1-x2)^2+(y1-y2)^2)


between two points
(x1,y1),(x2,y2)


in this case, x1= -1 x2=-2 y1=7 y2=3  
 (You can change x1 and x2 around and y1 y2 around since squares cancel the
negatives)


d=sqrt((-1+2)^2+(7-3)^2)


=
sqrt(1+4^2)


= sqrt 17


The
distance of the given two points is  sqrt 17 units of length, or in decimal form, 4.12
units away from each other.


In this case, we omit the
negative value since distance could NOT be negative.

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