Question

Given: A(-7,10), B(-11,4) find AB distance

Answer 1

Given

• A ( -7 , 10 )

• B ( - 11 , 4 )

$\: \:$

$\frak \gray{ The \: given \: two \: points \: are \: ( x_1 ,y_1 ) = ( -7 , 10 ) \: and \: ( x_2 , y_2 ) = ( -11 , 4 )}$

$\:$

By Distance Formula

$\sf \frak { \gray {Distance = \sqrt{(x_2 - x_1)² + ( y_2 - y_1)²} }}$

$\: \:$

$\frak \gray{ = \sqrt{( - 11 + 7) ^{2} + (4 - 10)^{2} } }$

$\: \:$

$\frak \gray {= \sqrt{( { - 4)}^{2} + ( - { 64})^{2} } }$

$\: \:$

$\frak \gray{ = \sqrt{16 + 36} }$

$\: \:$

$\boxed {\frak \gray{ = \sqrt{56} }}$

Hope Helps! :)