Math Problem Statement
Solution
To calculate the distance between points and on the coordinate plane, we can use the distance formula, which is:
Here, point is at coordinates , and point is at coordinates .
Substituting the coordinates into the formula:
Rounding to the nearest tenth, the distance between points and is approximately 9.5 units. However, based on the provided multiple-choice options, it seems there is a rounding mismatch, and the nearest choice would be 10.0 units.
Would you like further clarification or more details? Here are some related questions:
- How is the distance formula derived?
- What is the significance of each term in the distance formula?
- Can you explain how to plot points in a coordinate plane?
- How would this calculation change in 3D space?
- How can we apply the Pythagorean theorem to find the distance between two points?
Tip: Always double-check the units in word problems to ensure consistency in answers.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Distance Formula
Formulas
Distance formula d = √((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 8-10
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