Final answer:
The distance between points M(6, 16) and Z(-1, 14) is approximately 7.28 units, calculated using the distance formula √((x2-x1)2 + (y2-y1)2).
Step-by-step explanation:
To find the distance between points M(6, 16) and Z(-1, 14), we can use the distance formula which is derived from the Pythagorean theorem. The distance formula is √((x2-x1)2 + (y2-y1)2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
For points M(6, 16) and Z(-1, 14), let's plug into the formula:
- x1 = 6, y1 = 16
- x2 = -1, y2 = 14
Distance = √((-1 - 6)2 + (14 - 16)2)
= √((-7)2 + (-2)2)
= √(49 + 4)
= √53
≈ 7.28 units
So the distance between points M and Z is approximately 7.28 units.