How can I calculate the distance between the points M(6, 16) and Z(1, 14) to the nearest tenth?

To calculate the distance between two points M(6, 16) and Z(1, 14) in a two-dimensional space, we can use the distance formula:

Distance Formula: d = √((x₂ - x₁)² + (y₂ - y₁)²)

Where:

• (x₁, y₁) and (x₂, y₂) are the coordinates of points M and Z, respectively.
• d is the distance between the two points.

In this case:

• Point M = (6, 16) → x₁ = 6, y₁ = 16
• Point Z = (1, 14) → x₂ = 1, y₂ = 14

Now, let’s plug the values into the distance formula:

d = √((1 - 6)² + (14 - 16)²)

This simplifies to:

d = √((-5)² + (-2)²)

d = √(25 + 4)

d = √29

Now we can calculate the exact value:

d ≈ 5.385

Finally, rounding this value to the nearest tenth, we get:

Distance ≈ 5.4 units

So, the distance between points M(6, 16) and Z(1, 14) is approximately 5.4 units.