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Gregory mapped a few important locaflons in his nelborhood using a coorcinate grid. where ecach unit represented 1 kiliometer. On the grid, he plotted his home at (1. 2). his school at (-4. 3) and the bodega at
Gregory mapped a few important locaflons in his nelborhood using a coorcinate grid. where ecach unit represented 1 kiliometer. On the grid, he plotted his home at (1. 2). his school at (-4. 3) and the bodega at
Ask by Bradley Beck. in the United States
Feb 05,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The distance between Gregory’s house and the bodega is 7 kilometers.
Solution
To determine the distance between Gregory’s house and the bodega on the coordinate grid, we can use the distance formula. Here’s a step-by-step explanation:
Given Coordinates:
- House:
- Bodega:
Distance Formula:
The distance
Plugging in the Coordinates:
Conclusion:
The distance between Gregory’s house and the bodega is 7 kilometers.
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Simplify this solution Bonus Knowledge
To find the distance between Gregory’s house at (1, 2) and the bodega at (-6, 2), you can use the distance formula:
Plugging in the coordinates, we have:
So, Gregory’s house is 7 kilometers away from the bodega.
Got a knack for numbers? Geometry and coordinate systems aren’t just for classrooms! They’re used in everything from city planning to video game development. For instance, city planners use these concepts to ensure efficient public transportation routes while game developers create expansive worlds mapped out with a grid system. Keep at it, and you might just become the next innovator in spatial designs!
Having trouble with distance calculations? It’s easy to mix up coordinates or forget the formula. One common mistake is confusing the x and y values or misapplying the square root. Always double-check your signs; a negative coordinate can flip your expected distance. Practice with different points, and you’ll find it becomes second nature!
