What is the distance between $(0,3)$ and $(-6,6)$ ? Provide an answe accurate to the nearest tenth.
Answer
Final Answer: The distance between (0,3) and (-6,6) is approximately \(\boxed{6.7}\).
Step 1 ：We are given two points in a 2D plane, (0,3) and (-6,6).
Step 2 ：We need to calculate the distance between these two points.
Step 3 ：The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) in a 2D plane can be calculated using the distance formula derived from the Pythagorean theorem, which is \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\).
Step 4 ：Substituting the given points into the formula, we get \(\sqrt{(-6-0)^2 + (6-3)^2}\).
Step 5 ：Solving the equation, we get a distance of approximately 6.7.
Step 6 ：Final Answer: The distance between (0,3) and (-6,6) is approximately \(\boxed{6.7}\).
