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Find the distance between the pair of points: (2,0) and (6,-3)
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Answer:
The distance between the pair of points is 5 units.
Step-by-step explanation:
The first thing we must know in order to solve this problem is the distance formula.
[tex]Distance(d)=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1})^2}[/tex]
We will use the coordinate point (2,0) for our (x₂,x₁) and the coordinate point (6,-3) for our (y₂,y₁). Now, let's plug in these numbers into our formula.
[tex]d=\sqrt{(6-2)^2+(-3-0)^2}[/tex]
[tex]d=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]d=\sqrt{16+9}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]d=5[/tex]
So, the distance between the two given points is 5 units.