What is the distance from (-2, 4) to (0, -6)? round your answer to the nearest hundredth.

Solution:

Given, the points are (-2,4) and (0, -6).

The distance formula is given by

d = √(x₂- x₁)² + (y₂ - y₁)²

Now, substitute (-2,4) and (0, -6) in distance formula,

d = √(0 - (-2))² + ((-6) - 4)²

By further calculation

d = √(2)² + (-10)²

d = √(4+100)

So we get

d = √104

d = 10.198

d = 10.2

Therefore, the distance is 10.2 units.

What is the distance from (-2, 4) to (0, -6)? round your answer to the nearest hundredth.

Summary:

The distance from (-2, 4) to (0, -6) to the nearest hundredth is 10.2 units.