Question

find the distance between r(3,4) and t(7,2). round to the nearest tenth, if necessary.
units
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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

For points \(R(3, 4)\) and \(T(7, 2)\), we have \(x_1 = 3\), \(y_1 = 4\), \(x_2 = 7\), \(y_2 = 2\).

Step3: Substitute into formula

Substitute the values into the formula: \(d=\sqrt{(7 - 3)^2+(2 - 4)^2}=\sqrt{4^2+(- 2)^2}=\sqrt{16 + 4}=\sqrt{20}\).

Step4: Simplify and round

\(\sqrt{20}\approx4.5\) (rounded to the nearest tenth).

Answer:

\(4.5\)