Question

What is the exact distance from (−5, 1) to (3, 0)? (4 points)

Group of answer choices

units

units

units

units

Answer 1

The exact distance from (−5, 1) to (3, 0) is of
`√(65)` units

Explanation:

Suppose we have two points:

`A = (x_(1), y_(1))`

`B = (x_(2), y_(2))`

The distance between these points is, in units:

`D = \sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2)}`

Distance from (−5, 1) to (3, 0)?

`D = \sqrt{(3 - (-5))^(2) + (0 - 1)^(2)} = √(64 + 1) = √(65)`

The exact distance from (−5, 1) to (3, 0) is of
`√(65)` units