Math Problem Statement

Find the distance between points A = (-3, 4) and B = (5, 8).

Solution

It appears you uploaded the same image again. Based on what I previously solved, the distance between points A(3,4)A(-3, 4) and B(5,8)B(5, 8) is approximately:

d8.9d \approx 8.9

If you would like me to clarify anything or assist further, please let me know!


Here are 5 related questions for further exploration:

  1. How do you calculate the distance between two points if one of them is at the origin (0, 0)?
  2. How can you find the equation of the line passing through points AA and BB?
  3. What is the perimeter of the triangle formed by points AA, BB, and the origin (0, 0)?
  4. What changes in the distance formula if we work in 3D space?
  5. How would you plot more points and check if they lie on the same line as AA and BB?

Tip: When rounding, remember to consider the digit immediately after the place you're rounding to!

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Distance Formula

Formulas

Distance formula: d = √((x2 - x1)² + (y2 - y1)²)

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 7-9