When we perform rigid transformations on parallel lines, what do we know about their image? Does the distance between the lines change?

The distance between each line does not change.

Explanation:

Because you are just transforming it. It's not like you are changing the shape at all, you are just moving it to a different area on the grid. You can transform it over the x-axis, or you could transform it over the y-axis. It doesn't matter. Hope that answered your question.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

the answer is 13 cm