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Given the coordinates C(12, 6) and D( -8, 18), what is the distance between these two points?

a. 20 units
b. 26 units
c. 30 units
d. 32 units

1 Answer

1 vote

Final answer:

To find the distance between two points using their coordinates, you can use the distance formula. The distance between points C(12, 6) and D(-8, 18) is approximately 23.3 units.

Step-by-step explanation:

To find the distance between two points using their coordinates, you can use the distance formula. The distance formula is: d = sqrt((x2-x1)^2 + (y2-y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, the coordinates of point C are (12, 6) and the coordinates of point D are (-8, 18). Substituting these values into the distance formula, we get d = sqrt((-8-12)^2 + (18-6)^2). Calculating this expression, we get: d = sqrt((-20)^2 + (12)^2) = sqrt(400 + 144) = sqrt(544) = 23.3. Therefore, the distance between points C and D is approximately 23.3 units, so the correct answer is not listed.

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