Math Problem Statement
Solution
To find the distance between points and , we can use the distance formula. The distance formula between two points and is given by:
From the graph:
- The coordinates of point are .
- The coordinates of point are .
Substituting these values into the distance formula:
So, the distance between points and is approximately 19.85 units.
Would you like more details or have any questions?
Here are 5 related questions to expand your understanding:
- How do you derive the distance formula from the Pythagorean theorem?
- What is the significance of the signs of the coordinates when applying the distance formula?
- Can you apply the distance formula to three-dimensional space?
- How can you verify your result visually on a graph?
- How would the calculation change if the points were on the same axis?
Tip: Always double-check the coordinates of points when reading from a graph to ensure accuracy!
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Plane
Formulas
Distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 7-9
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