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:
Step-by-step explanation:
Here, we want to graph the given line
Mathematically, to graph a line, we will
need to work with the intercepts
The general equation of a straight line is;
y = mx + b
m
is the slope and b is the y-intercept
with respect to the question, 4 is the y-intercept
we have this point as (0,4)
To get the x intercept, we will need to substitute 0 for the value of y
So, we have ;
0 = -x + 4
x = 4
The x-intercept too is 4
This is the point (4,0)
So by joining the points (0,4) and (4,0);
we have successfully graphed the line
It can be found as an attachment below
Answer: The missing term in the factorization will be (x+1).
Explanation:
Since we have given that

We'll use splitting the middle term in which we have given the quadratic equation as

Now, we have to find the two integers whose product will be 'ac' and whose sum will be 'b'.
By splitting the middle term , we get,

Hence, the missing term in the factorization will be (x+1).
The answer is 7
<span>q−3<span>−6q</span>=3+6q<span>−6q</span>←</span> subtract 6a from both sides
<span>7a−6q−3<span>+3</span>=3<span>+3</span> ←</span> add 3 to both sides
<span>a=6 ←</span> this is the solution..