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Find the distance between points M(6,16) and Z(−1,14) to the nearest tenth.
To find the distance between two points, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of point M are (6,16) and the coordinates of point Z are (-1,14). Plugging these values into the distance formula, we get:
d = √((-1 - 6)^2 + (14 - 16)^2)
Simplifying inside the square root, we have:
d = √((-7)^2 + (-2)^2)
Squaring the individual terms, we have:
d = √(49 + 4)
= √53
Taking the square root of 53 gives us an approximate value:
d ≈ 7.3
Therefore, the distance between points M(6,16) and Z(−1,14) is approximately 7.3 units.