Question

What’s the distance between A(6,6) and B(12,-4)

Answer 1

`2√(34)` or 11.66

Explanation:

To find the distance between two points, we can use the distance formula, which is
`d = \sqrt{(x_(2) - x_(1))^(2) + ({y_(2) - y_(1))^(2)} }` . So, let's go ahead and use that formula to solve for the distance.

`d = \sqrt{(x_(2) - x_(1))^(2) + ({y_(2) - y_(1))^(2)} }\\d = \sqrt{(12 - 6)^(2) + (-4 - 6)^(2)}}\\d = \sqrt{6^(2) + (-10)^(2)}\\d = √(36 + 100)\\d = √(136) = 2√(34)`

If you need an approximate answer, it's about 11.66. Hopefully that's helpful. :)