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Find the distance between points M(6,16)
and Z(−1,14)
to the nearest tenth.
(2 points)
To find the distance between two points, we can use the formula for the distance between two points in a coordinate plane.
The formula is:
d = √((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 M are (6, 16) and the coordinates of point Z are (-1, 14).
Plugging these values into the formula, we have:
d = √((-1 - 6)^2 + (14 - 16)^2)
Simplifying this expression, we have:
d = √((-7)^2 + (-2)^2)
d = √(49 + 4)
d = √53
Using a calculator or estimating, we find that √53 is approximately 7.28.
Therefore, the distance between points M(6,16) and Z(-1,14) to the nearest tenth is approximately 7.3.