Respuesta :

Answer:

The distance between the points (1, 7) and (10, 1) is 10.82 units

Step-by-step explanation:

Distance between two points

The distance between points A(x,y) B(w,z) can be calculated with the formula:

[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]

We are given the points (1,7) and (10,1), let's use their values and compute the required distance:

[tex]d=\sqrt{(1-7)^2+(10-1)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(9)^2}[/tex]

[tex]d=\sqrt{36+81}=\sqrt{117}\approx 10.82[/tex]

The distance between the points (1, 7) and (10, 1) is 10.82 units