Question

find the distance between ( w(-8,1) ) and ( y(0,6) ). round to the nearest tenth, if necessary.
about units

Explanation:

Step1: Recall the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1=-8,y_1 = 1,x_2=0,y_2 = 6\).

Step2: Substitute the values into the formula

Substitute the values: \(d=\sqrt{(0-(-8))^2+(6 - 1)^2}=\sqrt{(8)^2+(5)^2}\).

Step3: Calculate the squares

\((8)^2=64\) and \((5)^2 = 25\), so \(d=\sqrt{64 + 25}=\sqrt{89}\).

Step4: Find the square - root value

\(\sqrt{89}\approx9.4\) (using a calculator to find the square - root of \(89\) and rounding to the nearest tenth).

Answer:

\(9.4\)