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To find the distance between points \( A \) and \( B \) on the graph, we’ll use the distance formula:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

### Step-by-Step Solution:
1. **Identify Coordinates of Points \( A \) and \( B \):**
   - Point \( A \) is at \( (5, 3) \).
   - Point \( B \) is at \( (-4, -4) \).

2. **Substitute into the Distance Formula:**
   \[
   d = \sqrt{(5 - (-4))^2 + (3 - (-4))^2}
   \]
   Simplify inside the parentheses:
   \[
   d = \sqrt{(5 + 4)^2 + (3 + 4)^2}
   \]
   \[
   d = \sqrt{9^2 + 7^2}
   \]

3. **Calculate Each Square:**
   \[
   d = \sqrt{81 + 49}
   \]
   \[
   d = \sqrt{130}
   \]

4. **Take the Square Root:**
   \[
   d \approx 11.4
   \]

### Final Answer:
The distance traveled by the object is approximately **11.4 miles**.

Would you like more details on this solution, or do you have any questions?

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Here are five related questions to deepen understanding:
1. How would the calculation change if point \( B \) were at \( (-4, 4) \) instead of \( (-4, -4) \)?
2. What is the midpoint between points \( A \) and \( B \)?
3. How do you determine the slope of the line segment connecting \( A \) and \( B \)?
4. If the object took 2 hours to travel from \( A \) to \( B \), what would be its average speed?
5. How can you use the Pythagorean theorem to check this distance?

**Tip:** Remember that the distance formula is based on the Pythagorean theorem, which is why it's perfect for calculating distances in coordinate geometry.

An object begins at point A and moves to point B. How far did the object travel? (Round your answer to one decimal place.)

Learn how to calculate the distance traveled by an object between points A (5, 3) and B (-4, -4) using the distance formula in coordinate geometry. A step-by-step solution is provided, making it ideal for students in Grades 8-10.

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