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Mathematics 7 Online
OpenStudy (anonymous):

How far from the origin is the point (-5, -12)? A. 13 B. 7 C. 11.49 D. 84.5

OpenStudy (kc_kennylau):

Do you know the distance formula? :)

OpenStudy (anonymous):

Hmmm nope.

OpenStudy (kc_kennylau):

\[D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]

OpenStudy (anonymous):

I'm not positive, but if I had to guess I would say 7.

OpenStudy (kc_kennylau):

nope it's not 7

OpenStudy (kc_kennylau):

you can use pythagorean formula if you don't know the distance formula

OpenStudy (anonymous):

The distance between any two points (a,b) and (c,d) is the square root of the sum of squares of the differences of the corresponding coordinates. \[\sqrt{(a-c)^{2} + (b-d)^{2}} \] i.e Sq rt of 5^2 + 12^2 i.e. 25+144=sq rt of 169=13.

OpenStudy (kc_kennylau):

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OpenStudy (kc_kennylau):

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OpenStudy (kc_kennylau):

sorry it's not to scale

OpenStudy (anonymous):

Thank you both for helping me. I understand a bit better now.

OpenStudy (kc_kennylau):

no problem :)

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