Answer:
x = 12
, y = -3
Step-by-step explanation:
Solve the following system:
{2 x + 7 y = 3 | (equation 1)
x = -4 y | (equation 2)
Express the system in standard form:
{2 x + 7 y = 3 | (equation 1)
x + 4 y = 0 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 7 y = 3 | (equation 1)
0 x+y/2 = -3/2 | (equation 2)
Multiply equation 2 by 2:
{2 x + 7 y = 3 | (equation 1)
0 x+y = -3 | (equation 2)
Subtract 7 × (equation 2) from equation 1:
{2 x+0 y = 24 | (equation 1)
0 x+y = -3 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 12 | (equation 1)
0 x+y = -3 | (equation 2)
Collect results:
Answer: {x = 12
, y = -3
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).
Coordinates of vertices of new triangle:
A´(0,0), B´(-12,0), C´(-6,12).
This transformation is dilatation, with the origin as the center of dilatation and the scale factor of the dilatation : s=3. A dilatation changes the size of a figure, while the shape of figure does not change.
Triangle A´B´C´ (image) is similar to triangle ABC (pre-image) because their corresponding angles are equal in measure and the ratio of their corresponding sides are in proportion (in attachment).
The surface area of the cylinder will be 1206.37 square feet.
<h3>What is surface area?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.
Given that the radius of the cylinder is r = 12 ft and the length of the cylinder is 16 ft.
The volume of the cylinder is calculated as:-
V = 2πrl
V = 2 x π x 12 x 16
V = 1206.37 square feet.
Therefore the surface area of the cylinder will be 1206.37 square feet.
To know more about a surface area follow
brainly.com/question/25292087
#SPJ1
62=14 + 2x
62-14=2x
48=2x
48/2=x
24 answer: 24
hope this helped
