Question

find the distance between the set of points below. when necessary, round to the nearest tenth. (-3, -4) and (2, 3)

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(-3,-4)\) and \((x_2,y_2)=(2,3)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(x_2 - x_1=2-(-3)=2 + 3=5\), \(y_2 - y_1=3-(-4)=3 + 4=7\)
Then \(d=\sqrt{5^{2}+7^{2}}=\sqrt{25 + 49}=\sqrt{74}\)

Step3: Calculate the value

\(\sqrt{74}\approx8.6\)

Answer:

\(8.6\)