Question

What is the distance from L to M?

A. 10 units
B. 14 units
C. 2 units
D. 100 units

Answer 1

`LM = 10units`

Explanation:

`L( - 5,4),M(3, - 2)`

`L( - 5,4),M(3, - 2) \\ L( { x }_( 1 ) , { y }_( 1 ) ),M( { x }_( 2 ) , { y }_( 2 ) )`

`LM = \sqrt{ {( { x }_( 2 ) - { x }_( 1 ) )}^(2) + {( { y }_( 2 ) - { y }_( 1 ) ) }^(2) }`

`LM = \sqrt{ {(3 - - 5)}^(2) + {( - 2 - 4)}^(2) }`

`LM = \sqrt{ {(3 + 5)}^(2) + {( - 2 - 4)}^(2) }`

`LM = \sqrt{ {(7)}^(2) + {( - 6)}^(2) }`

`LM = √(64+ 36)`

`LM = √(100)`

`LM = 10units`