Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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 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.
To find the distance between two points, M(6,16) and Z(-1,14), you can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Substituting the values from the given points:
d = √((-1 - 6)^2 + (14 - 16)^2)
Simplifying:
d = √((-7)^2 + (-2)^2)
d = √(49 + 4)
d = √53
Using a calculator or rounding to the nearest tenth:
d ≈ 7.3
Therefore, the distance between points M(6,16) and Z(-1,14) is approximately 7.3 units.