Triangle ABC is translated 2 units up and 4 units to the right and is then rotated 180° to produce the image triangle A'B'C'. What are the coordinates of B' in the resulting figure?

Step-by-step explanation:

From the attachment, we have that:

Required

Determine B'

Taking the translation one at a time:

2 units up

This implies, we add 2 to the y value of the function

becomes

4 units right

This implies, we subtract 4 to the x value of the function

becomes

180 degrees rotation

Here; B'(x,y) becomes B'(-x,-y)

So, the initial coordinates

becomes

Hence:

The final coordinates of B' is

im pretty sure its

(8,15)

step-by-step explanation:

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