Math Problem Statement
Find the distance between the two points rounding to the nearest tenth (if necessary).
left parenthesis, 3, comma, minus, 4, right parenthesis, and , left parenthesis, 9, comma, minus, 9, right parenthesis
(3,−4) and (9,−9)
Solution
To find the distance between the two points and , you can use the distance formula:
Substitute the given points into the formula:
Simplify the expressions inside the square root:
Calculate the squares:
Add the results:
Finally, find the square root of 61 and round to the nearest tenth:
So, the distance between the two points is approximately 7.8 units.
Would you like more details or have any questions?
Here are some related questions:
- How is the distance formula derived?
- What is the significance of each term in the distance formula?
- Can you find the distance between two points in 3D space?
- How would the formula change if the points had the same x-coordinates?
- How would the formula change if the points had the same y-coordinates?
- What is the distance between the origin and the point (9, -9)?
- How can you use the Pythagorean theorem to find the distance between two points?
- What is the effect of rounding on the accuracy of the distance?
Tip: When using the distance formula, always double-check your arithmetic steps to avoid simple errors!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Distance Formula
Formulas
Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Theorems
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Suitable Grade Level
Grades 9-12
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