Math Problem Statement
Solution
To solve for and , we'll calculate the distance between points and , as well as points and , on the number line. The formula to calculate the distance between two points is:
Calculations:
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For :
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For :
Final Results:
Would you like a detailed explanation of each step?
Here are 5 related questions you might consider:
- How can we calculate distances on a coordinate plane instead of a number line?
- How does the concept of absolute value apply to distance calculations?
- What changes in distance calculations if a third dimension (z-axis) is introduced?
- How are midpoint and distance formulas related?
- Can distance formulas be used in real-world applications like navigation?
Tip: When solving problems on a number line, always visualize the direction and use the absolute value to ensure the distance is positive.
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Math Problem Analysis
Mathematical Concepts
Distance on a number line
Absolute value
Formulas
Distance formula: |x2 - x1|
Theorems
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Suitable Grade Level
Grades 6-8
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