Math Problem Statement
distance formula (-5,7)(7,0)
Solution
The distance formula is used to find the distance between two points and in a coordinate plane. The formula is:
Given the points and :
- ,
- ,
Now, substitute these values into the formula:
Simplify inside the parentheses:
Therefore, the distance between the points and is:
Would you like more details or have any questions?
Here are some related questions:
- What is the midpoint between two points and ?
- How can the distance formula be used in 3D space?
- What is the equation of a line passing through the points and ?
- Can the distance formula be derived from the Pythagorean theorem?
- What is the slope of the line between and ?
Tip: Remember that the distance formula is essentially an application of the Pythagorean theorem!
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Geometry
Distance Between Points
Formulas
Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 8-10
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