Question

what is the distance between (1, 3) and (0, 7))? provide an answer accurate to the nearest tenth.

Explanation:

Step1: Recall distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

Step2: Identify coordinates

Here, \((x_1,y_1)=(1,3)\) and \((x_2,y_2)=(0,7)\).

Step3: Substitute into formula

Substitute the values: \(x_2 - x_1=0 - 1=- 1\), \(y_2 - y_1=7 - 3 = 4\). Then \(d=\sqrt{(-1)^2 + 4^2}=\sqrt{1 + 16}=\sqrt{17}\).

Step4: Calculate and round

\(\sqrt{17}\approx4.123\), rounding to the nearest tenth gives \(4.1\).

Answer:

\(4.1\)