Respuesta :

Answer:

7cm

Step-by-step explanation:

the explanation is in the picture

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Answer: [tex]D = 7[/tex] units

Step-by-step explanation:

The formula for calculating distance between two points is given as :

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

[tex]x_{1} = 2[/tex]

[tex]x_{2} = 9[/tex]

[tex]y_{1}= 4[/tex]

[tex]y_{2} = 4[/tex]

substituting into the formula, we have:

[tex]D = \sqrt{(9-2)^{2}+(4-4)^{2}}[/tex]

[tex]D = \sqrt{(7)^{2}+(0)^{2}}[/tex]

[tex]D = \sqrt{49}[/tex]

[tex]D = 7[/tex] units

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