Answer:
The required distance between A & B is 16.
Step-by-step explanation:
Given that-
A = ( - 4, 9) & B = ( -4, -7)
We have to find distance between A and B -
As we know that -
If point P = ( [tex]x_{1}, y_{1}[/tex] ) & point Q = ( [tex]x_{2}, y_{2}[/tex] ) then by distance formula
d = [tex]\sqrt{ ( x_{2} - x_{1}) ^{2} + ( y_{2} - y_{1} ) ^{2} }[/tex] ; where d is the distance between P & Q.
therefore,
d = [tex]\sqrt{ ( -4 - ( -4))^{2} + ( - 7 - 9 )^{2} }[/tex]
d = [tex]\sqrt{ ( -4 + 4 )^{2} + ( - 7 - 9 )^{2} }[/tex]
d = [tex]\sqrt{ 0 + ( - 16 )^{2} }[/tex]
d = [tex]\sqrt{ 256}[/tex]
d = 16
Hence the distance between A & B is 16.
