Question

Find the distance between the two points in simplest radical form.

Answer 1

Answer:

$d=\sqrt{58}\approx7.6$

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Our first point, A, is at (1, 1) and our second point, B, is at (-2, 8).

Let's let A(1, 1) be (x₁, y₁) and B(-2, 8) be (x₂, y₂). Substitute this into the distance formula:

$d=\sqrt{(-2-1)^2+(8-1)^2$

Subtract:

$d=\sqrt{(-3)^2+(7)^2$

Square:

$d=\sqrt{9+49}$

Add:

$d=\sqrt{58}$

This cannot be simplified.

So, the distance between the two points is √58 or about 7.6 units.

And we're done!

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