Answer: A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin .
Step-by-step explanation:
From the given figure, the coordinates of ΔABC are A(-3,4), B(-3,1), C(-2,1) and the coordinates of ΔA'B'C' are A'(3,1), B'(3,4), C'(2,4).
When, a translation of 5 units down is applied to ΔABC, the coordinates of the image will be
Then applying 180° counterclockwise rotation about the origin, the coordinates of the image will be :-
which are the coordinates of ΔA'B'C'.
Hence, the set of transformations is performed on triangle ABC to form triangle A’B’C’ is " A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin ".
In this specific case, the <em>initial term</em> (a) is 5 and the <em>common ratio</em> (r) is -2
Henceforth, after determining what a and r are, we use the formula for the <em>nth term</em>. Which is:

Therefore, the 14th term is :

Hope it helps!
Answer:
C
Step-by-step explanation:
Answer:
-4, -3, -2, -1, 0
Step-by-step:
1st: 1/4(-8) - 2 = -4 = y
2nd: 1/4(-4) - 2 = -3 = y
3rd: 1/4(0) - 2 = -2 = y
4th: 1/4(4) - 2 = -1 = y
5th: 1/4(8) - 2 = 0 = y
Answer:
She gets a job as a lawyer after graduation.
Step-by-step explanation: