Question

find the distance between (9,5) and (10,8).provide an answer accurate to the nearest tenth.

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(9,5)\) and \((x_2,y_2)=(10,8)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(10 - 9)^2+(8 - 5)^2}\)

Step3: Calculate the differences

\(10−9 = 1\) and \(8−5=3\)
So \(d=\sqrt{1^2 + 3^2}=\sqrt{1 + 9}=\sqrt{10}\)

Step4: Approximate the value

\(\sqrt{10}\approx3.2\)

Answer:

\(3.2\)