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Question

Find the distance between points M(6,16)
and Z(−1,14)
to the nearest tenth.

(2 points)

Answer 1

To find the distance between two points in a coordinate plane, we can use the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Given that the coordinates of point M are (6, 16) and the coordinates of point Z are (-1, 14), we can substitute these values into the distance formula:

Distance = √((-1 - 6)^2 + (14 - 16)^2)

Simplifying this expression, we get:

Distance = √((-7)^2 + (-2)^2)

Distance = √(49 + 4)

Distance = √53

Now, we can find the approximate value of √53 by using a calculator or estimating:

Distance ≈ 7.3

Therefore, the distance between points M(6, 16) and Z(-1, 14) to the nearest tenth is approximately 7.3.