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 distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2),
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, (x1, y1) = (6, 16) and (x2, y2) = (-1, 14).
Using the distance formula, we have:
d = sqrt((-1 - 6)^2 + (14 - 16)^2)
= sqrt((-7)^2 + (-2)^2)
= sqrt(49 + 4)
= sqrt(53)
≈ 7.28
Therefore, the distance between points M (6, 16) and Z(-1, 14) is approximately 7.3 units to the nearest tenth.
To find the distance between two points, you can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's plug the given values into the formula:
d = sqrt((-1 - 6)^2 + (14 - 16)^2)
Simplifying this expression:
d = sqrt((-7)^2 + (-2)^2)
d = sqrt(49 + 4)
d = sqrt(53)
Rounded to the nearest tenth, the distance between points M (6, 16) and Z(-1, 14) is approximately 7.3 units.