Question

Someone help plz? I need some help

Answer 1

Answer:

$AB =10.8166538264$

$AB \approx10.8$

Step-by-step explanation:

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

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

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

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

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

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

$AB = \sqrt{36 + 81}$

$AB = \sqrt{117}$

$AB =10.8166538264$

$AB \approx10.8$