Answer:
The distance between A=(1,1) and B=(7,-7) is 10.
Step-by-step explanation:
If you have two points [tex]A=(x_{1},y_{1})[/tex] and [tex]B=(x_{2},y_{2})[/tex] the distance between those points is the length of the segment that separates them. And the formula of that distance is:
[tex]d(A,B)=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Then the distance between A=(1,1) and B=(7,-7) is:
[tex]x_{1}=1\\y_{1}=1\\x_{2}=7\\y_{2}=-7[/tex]
[tex]d(A,B)=\sqrt{(7-1)^2+((-7)-1)^2}\\d(A,B)=\sqrt{6^2+(-8)^2}\\d(A,B)=\sqrt{36+64}\\ d(A,B)=\sqrt{100} \\d(A,B)=10[/tex]
The distance between A=(1,1) and B=(7,-7) is 10.
