Question

what is the distance between points f(2,9) and g(-2,6)? round to the nearest whole number. distance =

Explanation:

Step1: Identify the coordinates

Let \(F(x_1,y_1)=(2,9)\) and \(G(x_2,y_2)=(-2,6)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(-2 - 2)^2+(6 - 9)^2}=\sqrt{(-4)^2+(-3)^2}\)

Step3: Calculate the squares

\((-4)^2 = 16\) and \((-3)^2=9\), so \(d=\sqrt{16 + 9}=\sqrt{25}\)

Step4: Find the square root

\(\sqrt{25}=5\)

Answer:

\(5\)