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Using the distance formula, the distance between B and C is calculated as: 2.3 units.
The distance formula to apply is: d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the following:
B (3,−4) = (x1, y1)
C (5,−5) = (x2, y2)
Plug in the values into the distance formula
BC = √[(5−3)² + (−5−(−4))²]
BC = √[(2)² + (−1)²]
BC = √(4 + 1)
BC = √5
BC = 2.236068 ≈ 2.3 units.
Therefore, using the distance formula, the distance between B and C is calculated as: 2.3 units.
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