The categories of the points are
- Greater than 15 units from the origin: B(-5,15) and E(-8.-14)
- Exactly 15 units from the origin: C(12,-9)
- Less than 15 units from the origin: A(11,-6) and D(10.4)
How to categorize the points?
The distance of a point from the origin is calculated using:
[tex]d = \sqrt{x^2 + y^2}[/tex]
Using the above formula, and the given coordinates of points A to E, we have:
[tex]A = \sqrt{11^2 + (-6)^2} = 12.53[/tex]
[tex]B = \sqrt{(-5)^2 + (15)^2} = 15.81[/tex]
[tex]C = \sqrt{(12)^2 + (-9)^2} = 15[/tex]
[tex]D = \sqrt{10^2 + 4^2} = 10.77[/tex]
[tex]E = \sqrt{(-8)^2 + (-14)^2} = 16.12[/tex]
From the above computations, we have:
- Greater than 15 units from the origin: B(-5,15) and E(-8.-14)
- Exactly 15 units from the origin: C(12,-9)
- Less than 15 units from the origin: A(11,-6) and D(10.4)
Read more about distance at:
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