Question

find the distance between the two points rounding to the nearest tenth (if necessary).

(3, 3) and (0, -1)

Explanation:

Step1: Recall distance formula

The distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
Here, \(x_1 = 3,y_1 = 3,x_2 = 0,y_2=- 1\).

Step2: Substitute values into formula

Substitute the values into the formula:
\(d=\sqrt{(0 - 3)^2+(-1 - 3)^2}=\sqrt{(-3)^2+(-4)^2}\)

Step3: Simplify the expression

First, calculate the squares: \((-3)^2 = 9\) and \((-4)^2=16\).
Then, add them: \(9 + 16=25\).
So, \(d=\sqrt{25}\)

Step4: Find the square root

\(\sqrt{25} = 5\)

Answer:

5