Answer:
p=-9
Step-by-step explanation:
13p+42=-57+2p
Subtract 2p from each side
13p-2p+42=-57+2p-2p
11p +42 = -57
Subtract 42 from each side
11p+42-42=-57-42
11p = -99
Divide each side by 11
11p/11 = -99/11
p = -9
After the translation the vertices would be
p(6,5)
q(11,3)
r(3,11)
Answer:
x = 14 is an extraneous solution
Step-by-step explanation:

Divide both sides by 4.

Square both sides.



Since we squared both sides, we much check for extraneous solutions because the process of squaring both sides can introduce extraneous solutions.
Check x = 14:





16 = -16 is a false statement, so the solution we found, x = 14, is an extraneous solution.
The answer is 6 square root of 3.
4 times 12 square rooted minus 2 times square root of 3 = 10.39230485 =
6 square root of 3.