Math Problem Statement
What is the distance between (5, 9) and (-7, -7)?
Solution
To solve this problem, we can use the distance formula:
where and are the two points.
For the points and , we can substitute into the formula:
- ,
- ,
Now, let's calculate the distance:
So, the distance between the two points is 20 units.
Would you like a detailed breakdown or have any questions?
Here are 5 related questions for practice:
- What is the distance between and ?
- If two points are and , what is their distance?
- How does the distance formula change in 3D space?
- What is the midpoint between and ?
- Can you calculate the distance between and ?
Tip: Always double-check the signs when substituting values into the distance formula!
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Math Problem Analysis
Mathematical Concepts
Geometry
Distance between two points
Coordinate geometry
Formulas
Distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²)
Theorems
Pythagorean theorem
Suitable Grade Level
Grades 8-10