Answer:
8y = - 6
Step-by-step explanation:
Given the 2 equations
x + 6y = 9 → (1)
- x + 2y = - 15 → (2)
Adding the 2 equations term by term gives
(x - x) + (6y + 2y) = (9 - 15), that is
8y = - 6
Answer:
2) 168
Step-by-step explanation:
Answer:
The solution set can be given as:
Step-by-step explanation:
Given function:
To find the domain of the function in set notation.
Solution:
For the function 
to exist the denominator must be ≠ 0
We have the denominator 
which cannot be = 0.
Thus, we can find the domain of the function using the above relation.
The function will not exist when:
Solving for 
Subtracting both sides by 6.
Dividing both sides by 2.
∴ 
Thus, the function will not exist at . This means it has all real number solutions except -3.
The solution set can be given as:
The answer is .031374 :)))))
Answer:
Step-by-step explanation:
1. We aren't worried about the area of the base, so the area is the area of the 4 triangles. Each triangle has an area of half the base times the height.
A = 4 (½ bh)
A = 2 bh
Given b = 6 and h (the height of the triangle, not the pyramid) = 5:
A = 2 (6) (5)
A = 60 ft²
2. This time, we want to include the area of the rectangular base, so:
A = b₁b₂ + 2 (½ b₁h₁) + 2 (½ b₂h₂)
A = b₁b₂ + b₁h₁ + b₂h₂
Given b₁ = 78 m, b₂ = 50 m, h₁ = 52 m, and h₂ = 60 m:
A = (78) (50) + (78) (52) + (50) (60)
A = 10,956 m²
