kreamykraka80

2022-07-16

What is the distance between the origin of a cartesian coordinate system and the point (-3,7)?

zlepljalz2

Expert

The origin of the Cartesian coordinate system is at (0,0)
The distance between (0,0) and (−3,7) can be calculated using the Pythagorean theorem:
${h}^{2}={\left(\Delta x\right)}^{2}+{\left(\Delta y\right)}^{2}$
${h}^{2}={\left(-3\right)}^{2}+{\left(7\right)}^{2}$
$h=\sqrt{58}$
$\phantom{\rule{1ex}{0ex}}\text{we can ignore the possibility of negative value for a distance}\phantom{\rule{1ex}{0ex}}$

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