Answer:
zeros: -11 , 7
Line of symmetry: x = -2
Step-by-step explanation:
y = 2x² + 8x - 154 = 2*(x² + 4x - 77) = 2*(x+11)(x-7)
y = 0
x = - 11 or x = 7
line of symmetry: x = 1/2 (-11 + 7) = -2
2x² + 8x - 154 = 2*(x² + 4x +4) - 162 = 2 * (x+2)² - 162
vertex (h , k): h = -2 , k = -162
Line of symmetry: x = -2
Answer:
Step-by-step explanation:
we will solve this using integration by parts as the problem is a product of two functions which none of them are constants.
∫udv = uv -∫vdu ..............equ 1
∫
u=x ,
du= 1
dv =
v=∫dv=
Substituting into equ 1
∫udv = - ∫
<em>∫udv = 
</em>
I haven't done this in a while but I think the answer is 16
Answer
Gloria's banner is 33 inches longer than Greg's sign.
Step-by-step explanation:
44 - 11 = 33
Given:
large cylinder: height = 3 ft ; diameter = 2 ft
cylinrical cup: height = 1/2 ft ; diameter = 1/4 ft
Volume of a cylinder = π r² h
large cylinder volume = 3.14 * (1ft)² * 3ft = 3.14 * 1ft² * 3ft = 9.42 ft³
cylindrical cup volume = 3.14 * (0.125ft)² * 1/2 ft = 3.14 * 0.015625ft² * 0.5ft = 0.0245 ft³
9.42 ft³ ÷ 0.0245ft³ = 384.489 cups
