Respuesta :

√(x1-x2)²+(y1-y2)²
√(11-10)²+(4-5)²
√1²+(-1)²
√1+1
∴√2

Answer:

The distance is √2 unit.

Step-by-step explanation:

By the distance formula,

The distance between [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence, the distance between the points (11, 4) and (10, 5) would be,

[tex]d=\sqrt{(10-11)^2+(5-4)^2}[/tex]

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

[tex]=\sqrt{1+1}[/tex]

[tex]=\sqrt{2}\text{ unit}[/tex]

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