Question

What is the length of the segments that joins the points (-5,4) and (6,-3)?

Answer 1

The answer is √170 units

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Answer 2

l ≈ 13.04 or √170.

Explanation:

To solve this, the distance formula will need to be used:

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

Plug in the coordinates, giving us:

`l = \sqrt{(6-(-5)^(2)+(-3-4)^(2) }`

`l = \sqrt{11^(2)+(-7)^(2) }`

Simplify:

`l= √(121+ 49) \\\\l= √(170) \\`

l ≈ 13.04 or √170.