Math Problem Statement
find the distance btween P(1,-3) and Q(3,-4)
Solution
To find the distance between points and , we use the distance formula:
Given:
Substitute the values:
So, the distance between points and is .
Would you like a detailed explanation of each step?
Related Questions:
- How do you find the midpoint between two points?
- What is the distance between the points and ?
- How can you find the distance between points on a 3D plane?
- Can the distance formula be derived from the Pythagorean Theorem?
- What is the significance of the distance formula in coordinate geometry?
Tip: For easier calculations, keep square roots in radical form unless you need a decimal approximation.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Distance Calculation
Formulas
Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 7-9
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