Answer:
12, -12
Step-by-step explanation:
sqrt(144)
What number times itself = 144
12*12 = 144
Also -12*-12 = 144
Let's say the question is 2(x+3),
You multiply the number outside the brackets by EVERYTHING inside the brackets so,
2(x+3)
=2x+6 *Notice how 2(x)=2x and 2(3)=6.*
9514 1404 393
Answer:
5x -3y = 44
Step-by-step explanation:
We choose to start with the form ...
(Δy)x -(Δx)y = (Δy)(x1) -(Δx)(y1) . . . . . where Δy = y2 -y1 and Δx = x2 -x1
For this purpose, it is convenient to choose y2 > y1, so we have ...
Δy = -3 -(-8) = 5
Δx = 7 -4 = 3
5x -3y = 5(4) -3(-8)
5x -3y = 44
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:
<em>y=2 cos (π/4x-π/4)</em>
Step-by-step explanation:
<em>Given</em>
<em>A cosine function has an amplitude of 2, a midline of 5 and a period of 8.</em>
<em>To find: </em>
<em>A cosine function.</em>
<em>Explanation:</em>
<em>Let the function be,</em>
<em></em>
<em>Since amplitude is 2.</em>
<em>Then,</em>
<em></em>
<em>Also, since the period is 8.</em>
<em>Then,</em>
<em></em>
<em>And, since midline is 5.</em>
<em>Hence, the cosine function is,</em>
<em>y=2 cos (</em>
<em>x-</em>
<em></em>
