Mrs. Smith's drama class is taking a field trip to the theater to watch a play. She needs to calculate the distance in order to reserve the bus for the day. What is the distance from the school to the theater? Show your work and leave your
answer in simplest radical form if necessary.

Step-by-step explanation:

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

The distance formula is:

So, we want to find the distance between the school and the theater.

We can see that the school is at the point (8,7).

And the theater is at the point (2,3).

So, let's let (8,7) be (x₁, y₁) and let's let (2,3) be (x₂, y₂).

Substitute them into our distance formula:

Subtract:

Square:

Add:

Simplify:

So, the distance between the school and the theater is 2√3 units or approximately 7.21 units.

And we're done!

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step-by-step explanation: