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 = (
,
) = ( - 2 , -4 )
The coordinate of point F = (
,
) = ( 2 , 2 )
Let The distance between the points E and F = D
So, D = ![\sqrt{(x_2 - x_1)^{2} + ( y_2 - y_1 )^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2%20-%20x_1%29%5E%7B2%7D%20%2B%20%28%20y_2%20-%20y_1%20%29%5E%7B2%7D%20%7D)
or, D = ![\sqrt{(2 - (- 2 ))^{2} + ( 2 - ( - 4 ))^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%282%20-%20%28-%202%20%29%29%5E%7B2%7D%20%2B%20%28%202%20-%20%28%20-%204%20%29%29%5E%7B2%7D%20%7D)
Or, D = ![\sqrt{( 4 )^{2} + ( 6 )^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28%204%20%29%5E%7B2%7D%20%2B%20%28%206%20%29%5E%7B2%7D%20%7D)
or, D = ![\sqrt{16 + 36}](https://tex.z-dn.net/?f=%5Csqrt%7B16%20%2B%2036%7D)
∴ D = ![\sqrt{52}](https://tex.z-dn.net/?f=%5Csqrt%7B52%7D)
I.e D = 7.21 unit
So, Approximate value of D = 7 unit
Hence The approximate length of segment EF is 7 unit . Answer