Question

find the length of the segment connecting (11,4) and (10,9). provide an answer accurate to the nearest tenth.

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(11,4)\) and \((x_2,y_2)=(10,9)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(10 - 11)^2+(9 - 4)^2}\)

Step3: Calculate the squares

\((10 - 11)^2=(-1)^2 = 1\) and \((9 - 4)^2=5^2 = 25\)
So \(d=\sqrt{1 + 25}=\sqrt{26}\)

Step4: Find the square - root and round

\(\sqrt{26}\approx5.1\)

Answer:

\(5.1\)