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Find the distance from the given point to each of the following. (3, 7, -5).

a) √59
b) √75
c) √83
d) √95

1 Answer

5 votes

Final answer:

The question asks for distances from a given point in a three-dimensional space, but without additional context, it is not possible to provide the coordinates or locations of points at those distances. The provided distances are the square roots of numbers, which could be results of the distance formula.

Step-by-step explanation:

The student is asking for the distance from a given point to a series of points represented by their distance values in a three-dimensional space. The given point is (3, 7, -5), and the distances from this point are given as square roots of numbers: √59, √75, √83, and √95. However, without additional information, such as the coordinates of the points these distances correspond to, it is not possible to determine the specific locations of these points or directly relate them to the given point (3, 7, -5).

We can discuss distance in a three-dimensional space, which is typically found using the distance formula for points (x1, y1, z1) and (x2, y2, z2):

Distance = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)

The distances provided (√59, √75, √83, √95) are results of applying this formula between two points in space. To find the coordinates of the points at these distances from the given point, additional information would be needed such as the direction from the given point or the context of a figure or diagram in which these distances are used. Without that context, we cannot provide a precise location for these points relative to the given point (3, 7, -5).

User Paul Kononenko
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