By applying Pythagorean theorem, the distance of the point (x, y) = (5, 10) with respect to the origin, that is, (x, y) = (0, 0), of the Cartesian plane is [tex]5\sqrt{5}[/tex] units.
In geometry, distance between two points on Cartesian plane (r) is known through Pythagorean theorem, whose formula is shown below:
[tex]r = \sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex] (1)
Where:
As the initial point is missing, we assume that such point is located at the origin of the Cartesian plane. If we know that [tex](x_{A}, y_{A}) = (0, 0)[/tex] and [tex](x_{B}, y_{B}) = (5, 10)[/tex], then the distance with respect to the origin is:
[tex]r = \sqrt{(5 - 0)^{2}+(10 - 0)^{2}}[/tex]
[tex]r = 5 \sqrt{5}[/tex]
By applying Pythagorean theorem, the distance of the point (x, y) = (5, 10) with respect to the origin, that is, (x, y) = (0, 0), of the Cartesian plane is [tex]5\sqrt{5}[/tex] units.
To learn more on distances: https://brainly.com/question/2734924
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