X^2 + 16x + 61 = 0
x^2 + 16x = -61
x^2 + 16x + 64 = -61 + 64
(x + 8)^2 = 3
x + 8 = (+-) sqrt 3
x = -8 (+-) sqrt 3
x = -8 + sqrt 3...and x = -8 - sqrt 3 <== ur solutions
Answer:
z = 30.45 feet
Step-by-step explanation:
The volume (V) of a triangular prism is calculated as
V = area of triangular end (A) × length
Here V = 913.5 and length = 15, thus
A × 15 = 913.5 ( divide both sides by 15 )
A = 60.9 ft²
The area of the triangle = 
bh ( b is the base and h the height ), thus
× 4 × z = 60.9
2z = 60.9 ( divide both sides by 2 )
z = 30.45
Answer:
-2 a b + 2 b + 6 a^2 + 9
Step-by-step explanation:
Simplify the following:
2 a^2 + a b + 2 b + 4 a^2 - 3 a b + 9
Grouping like terms, 2 a^2 + a b + 2 b + 4 a^2 - 3 a b + 9 = (a b - 3 a b) + 2 b + (2 a^2 + 4 a^2) + 9:
(a b - 3 a b) + 2 b + (2 a^2 + 4 a^2) + 9
a b + a b (-3) = -2 a b:
-2 a b + 2 b + (2 a^2 + 4 a^2) + 9
2 a^2 + 4 a^2 = 6 a^2:
Answer: -2 a b + 2 b + 6 a^2 + 9
Joanna would have spent $8.94 on apples at the farmers market.
Step-by-step explanation:commutative property
hope it helps
