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Question
Point A(2, 2) and point B(4, −3) are located on the grid. Which measurement is closest to the distance between point A and point B in units?
Responses
A 5.2 units5.2 units
B 5.4 units5.4 units
C 5.6 units5.6 units
D 5.8 units5.8 units
The distance between point A(2, 2) and point B(4, -3) can be calculated using the distance formula:
Distance = √((4-2)^2 + (-3-2)^2)
Distance = √(2^2 + (-5)^2)
Distance = √(4 + 25)
Distance = √29
Since √29 is approximately 5.4, the measurement closest to the distance between point A and point B in units is 5.4 units.
Therefore, the answer is B) 5.4 units.