Question

find the distance between the two points rounding to the nearest tenth (if necessary). (1,4) and (-2,8)

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(1,4)\) and \((x_2,y_2)=(-2,8)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(x_2 - x_1=-2 - 1=-3\), \(y_2 - y_1=8 - 4 = 4\)
Then \(d=\sqrt{(-3)^2+4^2}=\sqrt{9 + 16}=\sqrt{25}\)

Step3: Calculate the distance

\(\sqrt{25}=5\)

Answer:

\(5\)