Math Problem Statement
Use the distance formula to find the distance between points A and B.
A: (4.3, -1.1)
B: (9.2, 4.5)
Solution
To solve the problem of finding the distance between points A and B using the distance formula, we can apply the following formula:
Where:
Now let's compute the distance.The distance between points A and B is approximately 7.44 units. Therefore, the correct answer is the first option: 7.44.
Would you like further details or have any questions?
Here are five related questions to deepen understanding:
- How does the distance formula relate to the Pythagorean theorem?
- Can the distance formula be extended to three-dimensional space?
- What are the applications of the distance formula in real-world scenarios?
- How do you calculate the midpoint between two points?
- How does the slope between two points differ from the distance?
Tip: Remember, when squaring differences in coordinates, negative values always become positive!
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Math Problem Analysis
Mathematical Concepts
Geometry
Distance Between Points
Coordinate Geometry
Formulas
Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 9-10