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What is the length of the line segment with endpoints (11,−4)( and (−12,−4) ? Enter your answer in the box. units

Respuesta :

Answer:

The distance between the endpoints (11,−4) and (−12,−4) are 23 units .

Step-by-step explanation:

Formula

[tex]Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

As given

The endpoints of the line segments are (11,−4) and (−12,−4) .

[tex]Distance = \sqrt{(-12-11)^{2}+(-4-(-4))^{2}}[/tex]

[tex]Distance = \sqrt{(-23)^{2}+(-4+4)^{2}}[/tex]

[tex]Distance= \sqrt{529}[/tex]

As

√529 = 23

Distance = 23 unit

Therefore the distance between the endpoints (11,−4) and (−12,−4) are 23 units .

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