Question

D= V(x2 - 1)2 + (12 - y1)?

What is the approximate length of line segment EF?
6 units
7 units
8 units
9 units
10 units

Answer 1

The approximate length of segment EF is 7 unit

Explanation:

Given figure is the graph having E and F coordinate

The coordinate of point E = (
`x_1` ,
`y_1` ) = ( - 2 , -4 )

The coordinate of point F = (
`x_2` ,
`y_2` ) = ( 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) }`

or, D =
`\sqrt{(2 - (- 2 ))^(2) + ( 2 - ( - 4 ))^(2) }`

Or, D =
`\sqrt{( 4 )^(2) + ( 6 )^(2) }`

or, D =
`√(16 + 36)`

∴ D =
`√(52)`

I.e D = 7.21 unit

So, Approximate value of D = 7 unit

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