Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form:
x² + 8 x - y + 18 = 0
Answer:
Step-by-step explanation:
The zero (root) of a function is any value of the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x-axis.
~~~~~~~~~
f(x) = x³ + 3x² - x - 3
f(-3) = ( - 3 )³ + 3( - 3 )² - ( - 3 ) - 3 = 0
f(-1) = ( - 1 )³ + 3( - 1 )² - ( - 1 ) - 3 = 0
f(1) = ( 1 )² + 3( 1 )² - ( 1 ) - 3 = 0
Answer:
102.5 g
Step-by-step explanation:
The mass is the sum of the values indicated by the sliders:
100 g + 0 g + 2.5 g = 102.5 g
Answer:
44,55,000 cubic meters of treasure could fit the pyramid.
Step-by-step explanation:
We are given the following in the question:
Base measure = 450 meters
Height = 66 meters
The volume of the pyramid is given by:

where A is the ares of the base and H is the height of the pyramid.
Putting values, we get,

Thus, 4455000 cubic meters of treasure could fit the pyramid.
Answer:
None of these
Step-by-step explanation:
This polynomial is a quartic (4th degree polynomial), and it is not linear, cubic, or quadratic.