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A. 9.4 units

Step-by-step explanation:

       We could use the distance formula, but this problem asks us to use the Pythagorean theorem. This means we will "create" a right triangle and solve for the hypotenuse.

       [1] First, we need to draw our triangle.

-> Please see attached.

       [2] Now, we will count the length of the sides for the formula.

-> Please see attached.

       [3] Lastly, we can use the Pythagorean theorem to solve for the missing side which also known as the hypotenuse. In this case, it is from point R to point S

a² + b² = c²

5² + 8² = c²

25 + 64 = c²

89 = c²

= c

c ≈ 9.43

-> Which becomes 9.4 when rounded to the tenths place.

                                  A. 9.4 units

A. 9.4 units

I explianed

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction