find the distance between points M(6,16) and Z(-1,14) to the nearest tenth. show your work/the steps you use.
To find the distance between points M(6, 16) and Z(-1, 14), you can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, M(6, 16) has coordinates (x1, y1) = (6, 16) and Z(-1, 14) has coordinates (x2, y2) = (-1, 14).
Substituting these values into the distance formula:
Distance = √((-1 - 6)^2 + (14 - 16)^2)
= √((-7)^2 + (-2)^2)
= √(49 + 4)
= √53
≈ 7.3 (rounded to the nearest tenth)
Therefore, the approximate distance between points M(6, 16) and Z(-1, 14) is 7.3 units.