Question

find the distance between the points (9, 4) and (6, 0).
write your answer as a whole number or a fully simplified radical expression. do not round.
units
submit

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(9,4)\) and \((x_2,y_2)=(6,0)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(6 - 9)^2+(0 - 4)^2}\)

Step3: Simplify the expression inside the square - root

\((6 - 9)^2=(-3)^2 = 9\) and \((0 - 4)^2=(-4)^2 = 16\)
So \(d=\sqrt{9 + 16}\)

Step4: Calculate the sum and the square - root

\(9+16 = 25\), and \(\sqrt{25}=5\)

Answer:

\(5\)