Mathematics, 21.05.2020 23:04 QueenNerdy889

Two students are using the distance formula to determine the distance between (9, 4) and (–3, 8) on a coordinate grid. Their work is shown below.

Karlin’s Work

d = StartRoot (9 minus (negative 3)) squared + (4 minus 8) squared EndRoot. D = StartRoot (12) squared + (negative 4) squared EndRoot. D = StartRoot 144 + 16 EndRoot. D = StartRoot 160 EndRoot.
Abby’s Work

d = StartRoot (negative 3 minus 9) squared + (8 minus 4) squared EndRoot. D = StartRoot (negative 12) squared + (4) squared EndRoot. D = StartRoot 144 + 16 EndRoot. D = StartRoot 160 EndRoot.

Which best explains why the order in which the subtraction occurred did not cause a difference in the answers determined by the two girls?

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