Answer:
The (x,y) point of the vertex is usually labelled as:
Vertex = (h, k)
h = -b / 2a
k = ah^2 + bh + c
f(x) = -3x^2 + 12x -5
a = -3 b=12 c=-5
h = -12 / -6 therefore h = 2
k = -3*2^2 + 12*2 -5
k = -12 + 24 -5 therefore k = 7
Vertex (2, 7)
Source: http://www.1728.org/quadr3.htm
Step-by-step explanation:
Answer:
Possible base lengths are 1, 2, 3, 4, 5
Step-by-step explanation:
Area = base x height / 2
Let base be b
b x 8 / 2 < 24 (Area < 24)
4b < 24
b < 6
Answer:28.73
Step-by-step explanation:
Answer:
V = 82,406.16 cm³
Step-by-step explanation:
Volume of a sphere
V = 4πr³/3
V = 4•3.14•27³/3
V = 247,218.48/3
V = 82,406.16 cm³
11 QUIZ
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Question 1
Use the graph below to determine whether each system is consistent or inconsistent and if it is independent or dependent.
x + 3y=3
|2x - y=-3
y=3
| 4x - 2y = -6
x
+ y=-
x+y=3
x+y=-3
a consistent and dependent
b. consistent and independent
e inconsistent
