Math Problem Statement
Solution
The problem asks to calculate the distance between two points and in the coordinate plane, rounding to the nearest hundredth. We will use the distance formula for two points in a plane, which is:
Where:
Let me calculate the distance.The distance between the points and is approximately , rounded to the nearest hundredth.
Do you want more details or have any other questions?
Here are 5 related questions for practice:
- How would the distance formula change if the points were three-dimensional?
- What is the midpoint between the points and ?
- How do you derive the distance formula from the Pythagorean theorem?
- If you shift both points up by 3 units, what will the new distance be?
- How can you calculate the length of a diagonal in a rectangle using the distance formula?
Tip: Always square the differences in the coordinates before summing them in the distance formula to avoid negative values.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Plane
Distance Formula
Formulas
Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 8-10
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