Respuesta :
To find the distance between two points on a coordinate plane, we can apply the distance formula.
[tex]\sqrt{(x.2 - x.1)^{2} + (y.2 - y.1)^{2}}[/tex]
√((2 - 0)² + (3 - 6)²)
√(4 + 9)
√13
The distance between the two points is √13.
The distance is given by 3.6 units.
How to find distance between two points?
- Distance can be found by joining the two coordinates of points through a line segment on the graph.
- Mathematically it can also be found by calculating with the distance formula.
Given: Two points
A = (x₁, y₁) = (0, 6)
B = (x₂, y₂) = (2, 3)
We have to find the distance between two points (0, 6) and (2, 3).
The distance between two points is given by:
⇒ AB = [tex]\sqrt{(x_{2}-x_1)^2+(y_2-y_1)^2 }[/tex]
⇒ AB = [tex]\sqrt{(2-0)^2+(3-6)^2}[/tex]
⇒ AB = [tex]\sqrt{2^2+(-3)^2}[/tex]
⇒ AB = [tex]\sqrt{4+9[/tex]
⇒ AB = [tex]\sqrt{13}[/tex]
⇒ AB = 3.6 units
Therefore, the distance between the points (0, 6) and (2, 3) is 3.6 units.
Learn more about the distance between two points here: https://brainly.com/question/24190898
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