Math Problem Statement
Find the distance between X(-3, 8) and Z(-5, 1). Round to the nearest tenth, if necessary.
Solution
To find the distance between points and , we can use the distance formula:
Given that:
Substituting into the distance formula:
Let's calculate this step by step.
Thus, the distance between the two points is approximately 7.3 units.
Do you have any questions or would you like more details?
Here are five related questions for further exploration:
- How would you calculate the distance in 3D space between two points?
- What is the midpoint between points and ?
- How does the Pythagorean theorem relate to the distance formula?
- If the coordinates of changed, how would the distance calculation change?
- How can we apply the distance formula to solve real-world problems?
Tip: When using the distance formula, be careful with signs when subtracting the coordinates to avoid errors in squaring.
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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 9-10