Question

What is the length of the segment with endpoints (11, 5) and (-3, -18)?

Answer 1

The length of the segment with endpoints (11, 5) and (-3, -18) is approximately 26.94 units.

Step-by-step explanation:

The length of a segment with endpoints (11, 5) and (-3, -18) can be found using the distance formula, which is based on the Pythagorean theorem. The formula is:

`d = √(((x2 - x1)^2 + (y2 - y1)^2))`

Where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Plugging in the values, we get:

`d = √((-3 - 11)^2 + (-18 - 5)^2)`

`d = √(14^2 + (-23)^2)`

`d =√(196 + 529)`

`d = √(725)`

d ≈ 26.94

So, the length of the segment is approximately 26.94 units.