Question content area top Part 1 Find the distance d left parenthesis Upper A comma Upper B right parenthesis between points A and B. Upper A left parenthesis 2 comma negative 5 right parenthesis; Upper B left parenthesis 2 comma 6 right parenthesis
Question
Question content area top Part 1 Find the distance d left parenthesis Upper A comma Upper B right parenthesis between points A and B. Upper A left parenthesis 2 comma negative 5 right parenthesis; Upper B left parenthesis 2 comma 6 right parenthesis
Solution
The distance between two points in a two-dimensional space can be calculated using the formula:
d = sqrt[(x2 - x1)² + (y2 - y1)²]
In this case, the coordinates of point A are (2, -5) and the coordinates of point B are (2, 6).
So, we can substitute these values into the formula:
d = sqrt[(2 - 2)² + (6 - (-5))²] d = sqrt[(0)² + (11)²] d = sqrt[0 + 121] d = sqrt[121]
Therefore, the distance d(A, B) between points A and B is 11 units.
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