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If A = (7, 9) and B = (3, 12), what is the length of ?A.7 unitsB.6 unitsC.5 unitsD.4 units

Question

If A = (7, 9) and B = (3, 12), what is the length of ?A.7 unitsB.6 unitsC.5 unitsD.4 units

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Solution

The question seems to be incomplete. If you're asking for the length of the line segment AB, we can use the distance formula which is derived from the Pythagorean theorem. The distance d between two points A and B with coordinates (x1, y1) and (x2, y2) is given by:

d = sqrt[(x2-x1)² + (y2-y1)²]

Here, A = (7, 9) and B = (3, 12). So, (x1, y1) = (7, 9) and (x2, y2) = (3, 12).

Substituting these values into the formula gives:

d = sqrt[(3-7)² + (12-9)²] d = sqrt[(-4)² + (3)²] d = sqrt[16 + 9] d = sqrt[25] d = 5 units

So, the length of the line segment AB is 5 units. Therefore, the answer is C.5 units.

This problem has been solved

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