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Lanuel

The distance between the given points on a coordinate plane is 15.65.

Given the following points:

  • Points on the x-axis = (-5, 2)
  • Points on the y-axis = (-10, 4)

To find the distance between the given points on a coordinate plane:

How to calculate the distance on coordinates.

Mathematically, the distance between points on a coordinate plane is given by the formula:

[tex]Distance = \sqrt{(x_2 - x_1)^2-(y_2 - y_1)^2}[/tex]

Substituting the given points into the formula, we have;

[tex]Distance = \sqrt{(2 - (-5))^2+(4 - (-10))^2}\\\\Distance = \sqrt{(2 +5)^2+(4 +10)^2}\\\\Distance = \sqrt{7^2+14^2}\\\\Distance = \sqrt{49+196} \\\\Distance =\sqrt{245}[/tex]

Distance = 15.65.

Read more on distance here: https://brainly.com/question/1418394