Question

What is the distance between A(1,1) and B(7,-7) using the distance formula? Thanks(:

Answer 1

Let's say that d is distance, and the formula is as follows;
d=
`\sqrt{(x_(2)- x_(1) ) ^(2)+ (y_(2)- y_(1) ) ^(2)`

This means that with the values filled in we have an equation that looks like;

`d= \sqrt{(7-1)^(2)+(-7-1)^(2)}`

Therefore solving would look like;

`d= \sqrt{(7-1)^(2)+(-7-1)^(2)} d= \sqrt{(6)^(2)+(-8)^(2)} d= √(36+64) d= √(100)` or 10