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find the distance between the pair of points. (-9.4,8.2) and (0.6,8.2) …

Question

find the distance between the pair of points.
(-9.4,8.2) and (0.6,8.2)

□ unit(s)

Explanation:

Step1: Identify the 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: Substitute the values

Here, \(x_1=-9.4,y_1 = 8.2,x_2=0.6,y_2 = 8.2\). Substitute into the formula:
\(d=\sqrt{(0.6-(-9.4))^2+(8.2 - 8.2)^2}\)
\(=\sqrt{(0.6 + 9.4)^2+0^2}\)

Step3: Simplify the expression

First, calculate \(0.6+9.4 = 10\). Then \(d=\sqrt{10^2+0}=\sqrt{100}=10\)

Answer:

\(10\)