Find the distance between the points given. (-3, -4) and (0, 0) -5 √(22) 5
Accepted Solution
A:
Distance between the points (-3, -4) is 5Step-by-step explanation:Givenpoints =(-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