25 pts what is the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down?
a.
(x' , y') = (y + 9 , x + 7)
b.
(x' , y') = (-x - 9 , -y - 7)
c.
(x' , y') = (y - 9 , x - 7)
d.
(x' , y') = (-x + 9 , -y + 7)

B

Step-by-step explanation:

1. A reflection across the origin has a rule

2. A translation 9 units to the left and 7 units down has a rule

Then the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down is

This means that the point with coordinates (x,y) has the image with coordinates (x',y')=(-x-9,-y-7).

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

1,918

step-by-step explanation: