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Determine the coordinates of the two points used in the given distance formula. (8,-2) + (6,-5)

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Final answer:

To find the distance between two points using the distance formula, you would need two distinct points. The expression given seems to add two points, which is not typically how you would calculate the distance. A proper distance calculation requires using the distance formula on two separate points, such as (8, -2) and (6, -5).

Step-by-step explanation:

To determine the coordinates of the two points used in the distance formula, usually, you would have two separate points, like (x1, y1) and (x2, y2). However, the expression given, (8,-2) + (6,-5), resembles a point but isn't a proper question for finding two separate points to compute the distance between them; instead, it appears to be the addition of two vectors or coordinates, which is not related to distance calculation.

If you meant to find the distance between the points (8, -2) and (6, -5), you can use the distance formula d = \( \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), where (x1, y1) = (8, -2) and (x2, y2) = (6, -5). Let's calculate the distance with these points:

First, find the difference of the x-coordinates: 6 - 8 = -2, and square it: (-2)^2 = 4.

Then, find the difference of the y-coordinates: -5 - (-2) = -3, and square it: (-3)^2 = 9.

Now, add the squares of the differences: 4 + 9 = 13.

Finally, take the square root: \( \sqrt{13} \), which is the distance between the two points.

If you are looking for a method to combine points or find a resulting point from combining two points, this would involve vector addition or a different concept altogether, not the distance formula.

User Ryan James
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