Question

find the distance between the set of points below. when necessary, round to the nearest tenth. (0,0) and (-7,2) answer

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(-7,2)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(-7 - 0)^2+(2 - 0)^2}\)
\(=\sqrt{(-7)^2+2^2}\)
\(=\sqrt{49 + 4}\)
\(=\sqrt{53}\)

Step3: Calculate the value

\(\sqrt{53}\approx7.3\)

Answer:

\(7.3\)