Respuesta :

The distance between the two points is ten.

The distance between the two points (4, 1) and (10,9) is 10 units

Coordinates

Assume the points are A and B

The coordinates of the points are given as:

  • Point A = (4,1)
  • Point B = (10,9)

Distance

The distance (d) between two points A and B is calculated as:

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

So, the above equation becomes

[tex]d = \sqrt{(4-10)^2 + (1 -9)^2}[/tex]

[tex]d = \sqrt{100}[/tex]

Take the positive square root of 100

[tex]d = 10[/tex]

Hence, the distance is 10

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