Question

What is the distance from L to M?

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

Answer 1

Answer:

$LM = 10units$

Step-by-step explanation:

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

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

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

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

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

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

$LM = \sqrt{64+ 36}$

$LM = \sqrt{100}$

$LM = 10units$