Answer:
21
Step-by-step explanation:
h(y)=3y^2-2y+5
Let y = -2
h(y)=3(-2)^2-2(-2)+5
= 3(4) +4 +5
= 12 +4 +5
=21
Answer:
2224.32 cm³
Step-by-step explanation:
La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h
Donde a = Apotema = 9,93 cm
P = Perímetro =
Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm
h = Altura = 28 cm
Por eso,
Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm
= 1/3 × 238.32 × 28 cm
= 2224.32 cm³
Volumen de la pirámide hexagonal = 2224.32 cm³
Answer:
5. A) two solutions
6. one solution
Step-by-step explanation:
5. A graph shows the curve has two x-intercepts, so two solutions. You can also figure this by looking at the discriminant:
b^2 -4ac = (7)^2 -4(-4)(8) . . . . a positive number
When the discriminant is positive, there are two real solutions.
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6. The equation factors as ...
0 = 3(x +3)^2
This will have one real solution at x=-3.
The area of a square is A=s² (s being the side). Since you know this, you can write an equation.
A=(6a - 2b)²
Expanding this would give you,
A=(6a - 2b)(6a - 2b)
Then to solve this you would want to FOIL (Multiply first terms, multiply outer terms, multiply inner terms, multiply last terms)
36a² - 12ab - 12ab + 4b²
Then combine like terms,
36a² -24ab + 4b²
So the answer would be D
