Respuesta :

Answer:

13.72units

Explanation:

Given parameters:

   Coordinates of the two points  =  (-5.2, 7) and (3,- 4)

Unknown:

Distance between the two points = ?

Solution:

To find the distance between two points, we use the mathematical expression below;

   D = [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]

 From the given coordinates;

        x₁  = -5.2      x₂  = 3

        y₁ = 7             y₂ = -4

Now; input the parameters and solve;

  D  = [tex]\sqrt{[3-(-5.2)]^{2} + (-4 -7)^{2} }[/tex] = [tex]\sqrt{67.24 + 121}[/tex] = 13.72units

The distance between the two points is 13.72units