Respuesta :

if point A is located at (0,-8) and B is located at (4,-5)

We use distance formula

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

(0,-8) is (x1, y1) and (4,-5) is (x2,y2)

x1 = 0 , y1= -8 , x2= 4 and y2= -5

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

[tex]d = \sqrt{(4-0)^2 +(-5-(-8))^2}[/tex]

[tex]d = \sqrt{(4)^2 +(3)^2}[/tex]

[tex]d = \sqrt{16+9}[/tex]

[tex]d = \sqrt{25}[/tex]

so d= 5

The distance between 2 points is 5

Answer:

Distance between A and B = 5

Step-by-step explanation:

We are given two points A (0, -8) and B (4, -5) and we are to find the distance between them.

We know the formula of the distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] so putting in the values of the given coordinates accordingly to get:

Distance between A and B = [tex]\sqrt{(4-0)^2+(-5-(-8))^2} = \sqrt{16+9} = \sqrt{25} =5[/tex]

Therefore, the distance between the two given points A and B is 5.