The answer is 12 because you got to add
Answer:
Step-by-step explanation:
Let
V
be the number of vertices of a polyhedron,
F
the number of faces of that polyhedron, and
E
be the number of edges. The quantity
χ
=
V
−
E
+
F
is called the Euler characteristic (of a polyhedron). In the case of convex polyhedra,
χ
=
2
.
Consider, for example, a tetrahedron (which is the simplest solid). It has 4 faces,
1
2
(
4
)
(
3
)
=
6
edges, and
1
3
(
4
)
(
3
)
=
4
vertices. Thus we have
V
−
E
+
F
=
4
−
6
+
4
=
2
.
Euler's formula holds for all Platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron). Since a cube and an octahedron are dual polyhedra (each is formed by connecting the centers of the faces of the other), their
V
and
F
values are equal to the
F
an
V
values of the other. (The same is true for the dodecahedron and icosahedron).
Answer:
3072ft
Step-by-step explanation:
we have,
h(t)=-16t²+192t+2560
where
h -----> is the height in feet of the rock
t -----> the time in seconds
For t=8 seconds
substitute the value of t in the function and find the value of h
h(8)=-16(8)²+192(8)+2560
=3072ft
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Answer:
3x² – 5x + 10
Step-by-step explanation:
(4x² – 2x + 8) - (x² + 3x - 2) =
Drop the first set of parentheses because it is unnecessary.
= 4x² – 2x + 8 - (x² + 3x - 2)
To get rid of the second set of parentheses, change every sign inside.
= 4x² – 2x + 8 - x² - 3x + 2
Now, combine like terms.
= 3x² – 5x + 10
x = 4
Simplifying the equation...
2(2) + 2x - 12 = 0, 2x - 8 = 0, x = 4
