Find the distance between points M(6,16) and Z(-1,14) to the nearest tenth. Show your work.
The distance between two points in a coordinate plane can be calculated using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, M(6,16) has coordinates (x1, y1) = (6,16) and Z(-1,14) has coordinates (x2, y2) = (-1,14).
Plugging these values into the distance formula:
d = √((-1 - 6)^2 + (14 - 16)^2)
= √((-7)^2 + (-2)^2)
= √(49 + 4)
= √53
To the nearest tenth, the distance between points M and Z is approximately 7.3.
To find the distance between two points (x₁, y₁) and (x₂, y₂), you can use the distance formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Let's use this formula to find the distance between points M(6,16) and Z(-1,14):
Distance = √((-1 - 6)² + (14 - 16)²)
= √((-7)² + (-2)²)
= √(49 + 4)
= √53
≈ 7.28 (rounded to the nearest tenth)
Therefore, the distance between points M(6,16) and Z(-1,14) is approximately 7.28 units to the nearest tenth.
To find the distance between two points, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, point M has coordinates (6, 16), and point Z has coordinates (-1, 14).
Plugging these values into the distance formula, we get:
d = √((-1 - 6)^2 + (14 - 16)^2)
= √((-7)^2 + (-2)^2)
= √(49 + 4)
= √53
Now, to find the distance to the nearest tenth, we need to calculate the square root of 53. Rounded to the nearest tenth, √53 is approximately 7.3.
Therefore, the distance between points M(6,16) and Z(-1,14) is approximately 7.3 units.