These words related to geometry that are quite hard to define precisely are called the <em>undefined terms</em>. There are three undefined terms in geometry: the point, the line and the plane. They are called as such, not because you can't necessarily define them. Since these are the basic elements of geometry, they are used to define all other terms in geometry.
However, you can still describe these three undefined terms. We describe point as an indication of location space. It can be dimensionless, represented using coordinates ans so much more. Lines can go on infinitely in two directions. They don't have any thickness. Planes are two-dimensional flat surfaces that extend indefinitely in all directions. So, you see, there are no specific definitions of these terms. It depends on where you use them. That's what makes it hard to define precisely.
I’ll do an example problem, and I challenge you to do this on your own!
4x+6y=23
7y-8x=5
Solving for y in 4x+6y=23, we can separate the y by subtracting both sides by 4x (addition property of equality), resulting in 6y=23-4x. To make the y separate from everything else, we divide by 6, resulting in (23-4x)/6=y. To solve for x, we can do something similar - subtract 6y from both sides to get 23-6y=4x. Next, divide both sides by 4 to get (23-6y)/4=x.
Since we know that (23-4x)/6=y, we can plug that into 7y-8x=5, resulting in
7*(23-4x)/6-8x=5
= (161-28x)/6-8x
Multiplying both sides by 6, we get 161-28x-48x=30
= 161-76x
Subtracting 161 from both sides, we get -131=-76x. Next, we can divide both sides by -76 to separate the x and get x=131/76. Plugging that into 4x+6y=23, we get 4(131/76)+6y=23. Subtracting 4(131/76) from both sides, we get
6y=23-524/76. Lastly, we can divide both sides by 6 to get y=(23-524/76)/6
Good luck, and feel free to ask any questions!
Answer:
Wrong division to post a question of this kind, BUT a membrane is a a thin sheet of tissue or layer of cells acting as a boundary, lining, or partition in an organism,... yes I looked it up,...
Chow,...!
It's multiplied by 5, so the amplitude is 5.
The period is pi/2 since it's tan(2t)
