First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21.
x - 5 = 21 ; x = 26
Thus, Kate initially had 26 paintings.
The ordered pairs that satisfy this function are (-3,-1) and (3,3)
Part a
For horizontal 8*50% = 4 and for vertical 12*75%= 9.
So these values are less than the originals so the new frame is a reduction.
Part b
For horizontal 8*125% = 8*1.25 = 10 and for vertical 12*140% = 12*1.4 =16.8
So these values are greater than the originals sothe new frame is a enlargement.