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What is the distance between the points (-7Ė-13) and (8Ė-5) ?

05 √13
017
03 √61
65

1 Answer

2 votes

Final answer:

The distance between the points (-7, -13) and (8, -5) is 17 units.


Step-by-step explanation:

To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula states that the distance between two points, (x1, y1) and (x2, y2), is given by the square root of [(x2 - x1)² + (y2 - y1)²].

In this case, the points are (-7, -13) and (8, -5). Plugging these values into the formula, we get the distance as sqrt[(8 - (-7))² + (-5 - (-13))²], which simplifies to sqrt[15² + 8²]. Further simplifying, we have sqrt[225 + 64] = sqrt[289] = 17.

Therefore, the distance between the points (-7, -13) and (8, -5) is 17 units.


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