Respuesta :

Distance between the points (-3, -4)  is  5

Step-by-step explanation:

Given

points =(-3,-4) and (0,0)

To Find:

The Distance between the two given points =?

Solution:

[tex]Distance =\sqrt{(x2-x1)^2+(y2-y1)^2 }[/tex]

where

[tex](x_1, y_1)[/tex] = coordinates of the first point

[tex](x_2, y_2)[/tex] = coordinates of the second point

So here, we have  

[tex]x_1[/tex] = -3

[tex]y_1[/tex] = -4

[tex]x_2[/tex]  = 0

[tex]y_2[/tex] = 0

So, after putting the values of [tex]x_1[/tex] , [tex]y_1[/tex] , [tex]x_2[/tex] [tex]y_2[/tex]   in the above equation,  we have  

[tex]Distance=\sqrt{(0+3)^2+(0+4)^2 }[/tex]

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

[tex]Distance=\sqrt{(9)+(16) }[/tex]

[tex]Distance=\sqrt{(25)}[/tex]

Distance = 5