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# 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 = √(x_{2}- x_{1})^{2} + (y_{2} - y_{1})^{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.

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