Question

coordinate distance (decimal)
score: 0/2 penalty: 1 off
question
find the distance between the two points rounding to the nearest tenth (if necessary).
(3,2) and (6,0)
answer attempt 1 out of 2
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Explanation:

Step1: Recall distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

Step2: Identify coordinates

Here, \((x_1,y_1)=(3,2)\) and \((x_2,y_2)=(6,0)\).

Step3: Substitute into formula

Calculate \(x_2 - x_1 = 6 - 3 = 3\) and \(y_2 - y_1 = 0 - 2 = - 2\). Then \(d=\sqrt{(3)^2+(-2)^2}=\sqrt{9 + 4}=\sqrt{13}\).

Step4: Approximate \(\sqrt{13}\)

\(\sqrt{13}\approx3.6\) (rounded to the nearest tenth).

Answer:

\(3.6\)