BlessingsY123576 BlessingsY123576
  • 26-10-2022
  • Mathematics
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On a coordinate grid, point A is located at (0,0) and point B is located at (3,4) .What is the distance from A to B

On a coordinate grid point A is located at 00 and point B is located at 34 What is the distance from A to B class=

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MaylingD532535 MaylingD532535
  • 26-10-2022

Answer:

5 units.

Explanation:

To find the distance between two points in the coordinate plane, use the distance formula below:

[tex]\begin{gathered} Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ (x_1,y_1)=A(0,0) \\ (x_2,y_2)=B(3,4) \end{gathered}[/tex]

Substituting the points gives:

[tex]\begin{gathered} AB=\sqrt[]{(3-0)^2+(4-0)^2} \\ =\sqrt[]{(3)^2+(4)^2} \\ =\sqrt[]{9+16} \\ =\sqrt[]{25} \\ AB=5\text{ units} \end{gathered}[/tex]

The distance from A to B ​is 5 units.

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