Respuesta :

Answer:

7.2 units

Step-by-step explanation:

We have to use the distance formula in this.

The Distance formula says

The distance between two coordinates (a,b) and (c,d) is given by D , then

D= Sqrt { (d-b)^2+(c-a)^ }

Here

(a,b) =  (-2,5)

(c,d) =  ( 4,1)

Hence

D = sqrt { (5-1)^2+ ( 4-(-2))^2}

D = Sqrt { 4^2 + 6^2 }

D= Sqrt { 16+36 }

D = Sqrt 52

D= 7.211

Hence D=7.2 units

Answer: [tex]7.2\ units[/tex]

Step-by-step explanation:

You need to use this formula for calculate the distance between two points:

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

Given the point (-2,5) and  the point (4,1), you can identify that:

[tex]x_2=4\\x_1=-2\\\\y_2=1\\y_1=5[/tex]

Now, substituting these coordinates into the formula, you get that the distance between the given points, to the nearest tenth, is:

[tex]d =\sqrt{(4-(-2))^2+(1-5)^2}[/tex]

[tex]d=7. 2\ units[/tex]