Question

Someone help plz? I need some help

Answer 1

`AB =10.8166538264`

`AB \approx10.8`

Step-by-step Step-by-step explanation:

`A( - 5,6),B(1, - 3)`

`A( - 5,6),B(1, - 3) \\ A( { x }_( 1 ) , { y }_( 1 ) ),B( { x }_( 2 ) , { y }_( 2 ) )`

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

`AB = \sqrt{ {(1 - - 5)}^(2) + {( - 3 - 6)}^(2) }`

`AB = \sqrt{ {(1 + 5)}^(2) + { (- 3 - 6)}^(2) }`

`AB = \sqrt{ {(6)}^(2)+ {( - 9)}^(2) }`

`AB = √(36 + 81)`

`AB = √(117)`

`AB =10.8166538264`

`AB \approx10.8`