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What is the distance between the points (23, -33) and (4, 9)? If necessary, round your answer to two decimal places.A.42 unitsB.46.10 unitsC.37.46 unitsD.61 units

Question

What is the distance between the points (23, -33) and (4, 9)? If necessary, round your answer to two decimal places.A.42 unitsB.46.10 unitsC.37.46 unitsD.61 units

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Solution

The distance between two points in a plane is given by the formula:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Here, (x1, y1) = (23, -33) and (x2, y2) = (4, 9).

So, the distance d is:

d = sqrt[(4 - 23)² + (9 - (-33))²] d = sqrt[(-19)² + 42²] d = sqrt[361 + 1764] d = sqrt[2125] d = 46.10 units

So, the correct answer is B. 46.10 units.

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