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

Answer:

l ≈ 13.04 or √170.

Step-by-step 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:

$l= \sqrt{121+ 49} \\\\l= \sqrt{170}$

l ≈ 13.04 or √170.