3y + 12 = 6x
3y = 6x - 12
y = 2x - 4
2y = 4x + (-8)
y = 2x + (-4)....the same as y = 2x - 4
b would have to be a -8
Answer:
73.5
Step-by-step explanation:
Step 1: 21/2 divided by 2 = 21/4
Step 2: 21/4 times 21/4 times 8/3 =
Answer: 73.5
The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.
The lateral area would be 298.7 cm².
The lateral area is the area of all of the lateral faces of the pyramid. There are 8 triangles making up the lateral faces. Each has a base of 6.6. The formula for the area of a triangle is
A=1/2bh,
so we still need the height of the triangle.
The height of each lateral triangle is the slant height of the pyramid. The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid. Thus we use the Pythagorean theorem:
8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h
Substituting this into our area formula we have:
A=1/2(6.6)(8√2)
We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7
Example of linear equation:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Let's have the linear equation;
![y = 2x + 3](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%203)
<h3 /><h3>Put x=1</h3>
![y = 2 \times 1 + 3 \\ y = 2 + 3 \\ y = 5](https://tex.z-dn.net/?f=y%20%3D%202%20%5Ctimes%201%20%2B%203%20%20%5C%5C%20y%20%3D%202%20%2B%203%20%5C%5C%20y%20%3D%205)
![(x,y) = (1,5)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%281%2C5%29)
<h3>Put x=2</h3>
![y = 2 \times 2 + 3 \\ y = 4 + 3 \\ y = 7](https://tex.z-dn.net/?f=y%20%3D%202%20%5Ctimes%202%20%2B%203%20%5C%5C%20y%20%3D%204%20%2B%203%20%5C%5C%20y%20%3D%207)
![(x,y) = (2,7)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%282%2C7%29)
<h3>Put x=3</h3>
![y = 2 \times 3 + 3 \\ y = 6 + 3 \\ y = 9](https://tex.z-dn.net/?f=y%20%3D%202%20%5Ctimes%203%20%2B%203%20%5C%5C%20y%20%3D%206%20%2B%203%20%5C%5C%20y%20%3D%209)
![(x,y) = (3,9)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%283%2C9%29)
(20+2.5)x = cost
when x equals number of tickets
(20+2.5)24 = 540