Respuesta :

Answer:

The approximate length of segment EF is 7 unit  

Step-by-step explanation:

Given figure is the graph having E and F coordinate

The coordinate of point E = ( [tex]x_1[/tex] , [tex]y_1[/tex] ) = ( - 2 , -4 )

The coordinate of point F = ( [tex]x_2[/tex] , [tex]y_2[/tex] ) = ( 2 , 2 )

Let The distance between the points E and F = D

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

or,  D = [tex]\sqrt{(2 - (- 2 ))^{2} + ( 2 - ( - 4 ))^{2} }[/tex]

Or,  D = [tex]\sqrt{( 4 )^{2} + ( 6 )^{2} }[/tex]

or, D = [tex]\sqrt{16 + 36}[/tex]

∴  D = [tex]\sqrt{52}[/tex]

I.e D = 7.21 unit

So, Approximate value of D = 7 unit

Hence The approximate length of segment EF is 7 unit  . Answer