Answer: The HL Theorem.
Step-by-step explanation: We are given that the triangles have a congruent 90 degree angle and two congruent sides. This would indicate towards SAS but in this case, that doesn't work because the angle is not in between the two congruent sides. We know that the triangles are right, and that their hypotenuses are congruent and that one leg is congruent. Thus, the answer must be HL (hypotenuse & leg).
Given that

attains a maximum at

, it follows that

at that same point. So integrating once gives



and so the first derivative is

.
Integrating again, you get


You know that this curve passes through the point (2, -1), which means when

, you have

:


and so
Answer:
1320 ways
Step-by-step explanation:
Here we have a situation where 3 ribbons will be awarded to 3 of the 12 contestants. We can use the permutation formula, because the order of awarding the ribbons matters.
The permutation formula is:

n = 12
k = 3
Now that we have our variables, let's plug them into the formula.



So there are 1320 different ways that the contestants will be awarded.
-4e-9=19
+9+9
-4e=28
e=7
-4x7=28
so its e=7
Your answer would be
y = 2x +4