Answer:
10y^2-6
Step-by-step explanation:
2y^2=2(4y^2-3)
2x4y^2=8y^2
2x(-3)=(-6)
2y^2+8y^2-6
10y^2-6
Answer: 
Step-by-step explanation:
1. You have the following phrase given in the problem: 16 times as many books. You can conclude this is a multiplication word problem, because:
- Let's call
the number of books.
- "As many boooks" indicates multiplication.
- 16 times means that
should be multiplied by 16.
2. Then, you can conclude that the expression that best represent the phrase is:

Answer:
46
Step-by-step explanation:
The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.
__
<h3>Pythagorean theorem</h3>
The relation between the leg lengths (a, b) and the hypotenuse (c) is ...
c² = a² +b²
Solving for b gives ...
b = √(c² -a²)
<h3>application</h3>
In this problem, we have c=55 and a=30. Then the width of the TV is ...
b = √(55² -30²) = √(3025 -900) = √2125
b ≈ 46.098
The width of the TV is about 46.