The axis of symmetry of a quadratic function
is given by the equation
, where h is the x-coordinate of the vertex and is equal to
.
1.
2.
3.
The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).
For each answer, we can plug in the given points:
A) is technically the same as B), but B) expresses correct function notation.
B) 5 = 5(1)
⇒ 5 = 5
25 = 5(2) ⇒ 25 ≠ 10
B) is incorrect.
C) I'm not sure what you mean y=5^5=x, but I'm going to use
because it's close to what you wrote:
The function
works for the points given.
D) 5 = 1 + 5 ⇒ 5 ≠ 6
D) is not correct.
Please check your functions; I'm not sure that C) is a function. In any case, the answer is C) because all the other answers are wrong.
The answer would be A = 54raiz (3) + 18raiz (91)
Formula:
A = Ab + Al Where, Ab=base area A= lateral area
The area of the base is: Ab = (3/2) * (L ^ 2) * (root (3)) Where, L= side of the hexagon. Substitute: Ab = (3/2) * (6 ^ 2) * (root (3)) Ab = (3/2) * (36) * (root (3)) Ab = 54raiz (3)
The lateral area is: Al = (6) * (1/2) * (b) * (h) Where, b= base of the triangle h= height of the triangle Substitute: Al = (6) * (1/2) * (6) * (root ((8) ^ 2 + ((root (3) / 2) * (6)) ^ 2)) Al = 18 * (root (64 + 27)) Al = 18raiz (91)
The total area is: A = 54raiz (3) + 18raiz (91)
Answer is <
Why? 1/4 is smaller than 1/2
1/4 can be 4 slices while 1/2 can be 2 slices
2 slices > 4 slices
9514 1404 393
Answer:
1135.2 in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = (4/3)πr^3
The difference in volume will be ...
∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in
∆V ≈ 1135.2 . . . cubic inches
The basketball has a volume that is 1135.2 cubic inches greater.
_____
If you use 3.14 for π, your answer is 1134.6 in^3.
