KariyahX403803 KariyahX403803
  • 25-10-2022
  • Mathematics
contestada

Use the distance formula to find the distance between the points given.(3,4), (4,5)

Respuesta :

ArinO81524 ArinO81524
  • 25-10-2022

Solution:

To find the distance between two points, the formula is

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

Where

[tex]\begin{gathered} (x_1,y_1)=(3,4) \\ (x_2,y_2)=(4,5) \end{gathered}[/tex]

Substitute the values of the variables into the formula above

[tex]d=\sqrt{(4-3)^2+(5-4)^2}=\sqrt{1^2+1^2}=\sqrt{1+1}=\sqrt{2}\text{ units}[/tex]

Hence, the answer is

[tex]\sqrt{2}\text{ units}[/tex]

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