Taking the square root of which of the following expressions gives the length of the line segment shown?


32 + (-5)2
42 + 72
72 - 42

Taking the square root of which of the following expressions gives the length of the line segment shown 32 52 42 72 72 42 class=

Respuesta :

the answer is b) 4^2 + 7^2
proof 
(3.-5) - (-1.2) = (4. -7), the length of vectAB(
(4. -7) =sqrt (4^2 + 7^2)

Answer:   4²+7²

Step-by-step explanation:

since length of line segment (x1,y1) and (x2,y2) is given by

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

here (x1,y1)=(3,-5) and (x2,y2)=(-1,2)

hernce length =  [tex]\sqrt{(3-(-1))^2+(-5-2)^2}[/tex]

                        =  [tex]\sqrt{(4)^2+(7)^2}[/tex]