Question

two points are located at (2,5) and (4,3). what is the distance between the points to the nearest hundred

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(2,5)\) and \((x_2,y_2)=(4,3)\)

Step2: Apply the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(4 - 2)^2+(3 - 5)^2}\)

Step3: Simplify the expression inside the square - root

\((4 - 2)^2=2^2 = 4\) and \((3 - 5)^2=(-2)^2 = 4\)
So \(d=\sqrt{4 + 4}=\sqrt{8}\)

Step4: Calculate the square - root and round

\(\sqrt{8}\approx2.83\)

Answer:

\(2.83\)