7/8(x-1/2)=-49/80
70/80(x-40/80)=-49/80 make all common denominator
x-40/80=-56/80 divide -49/80 by 70/80 to isolate parentheses
x=16/80 or 1/5 add 40/80 to isolate x

I'm not sure if my answer right because I was rushing but if you follow what I wrote next to the lines you should get the right answer

5 0

4 years ago

Which figure is the image of Q?

Sidana [21]

The coordinates of the image of Q in the sequence of transformations is Q' (1, -4)

<h3>How to determine the image of the transformation?</h3>

The complete question is added at the end of the solution

The coordinates of the triangle are given as

Q = (-2, 1)

R = (-4, 1)

S = (-4, 4)

The sequence of transformations is given as

Translate the triangle 1 unit right and 5 units down.
Reflect the triangle in the y-axis.

The rules of the above sequence of transformations are

Translate the triangle 1 unit right and 5 units down: (x + 1, y - 5)
Reflect the triangle in the y-axis: (-x, y)

When the above transformations are combined, we have

(x, y) = (-x - 1, y - 5)

So, we have

Q' = (2 - 1, 1 - 5) = (1, -4)

R' = (4 - 1, 1 - 5) = (3, -4)

S' = (4 - 1, 4 - 5) = (3, -1)

Hence, the image of the sequence of transformations is Q' (1, -4) and R' (3, -4) and S' (3, -1)

This means that the image of Q in the sequence of transformations is Q' (1, -4)