Light is transverse electromagnetic wave. Transverse means that the oscillation of energy is perpendicular to the direction of light.
Mathematically, there can be unlimited amount of directions in a space that are all perpendicular to a given line. In reality, this is the case...

Corry,
the common factor for both are (t-u), we can take it out:
(t-u)(s^2-9t^2)
And because a^2-b^2=(a+b)(a-b), in this case,
s^2-9t^2
=s^2-(3t)^2 [note: s=a, 3t=b in the above formula]
=(s+3t)(s-3t)
So...

Cody,
When a shape's area is 9 times as great, the one dimension difference is √9=3 times as great. Therefore the length of all sides are 3 times of the corresponding sides of the original shape. The shortest side in the original shape is 3, the larger one is 3 times of that,...

Daisy,
Law of Sine states: Sin(A)/a=Sin(B)/b=Sin(C)/c
In 1, you have A, a and c, you should be able to solve C by Sin(A)/a=Sin(C)/c, from C and A+B+C=180, you should also have B, then use the law of Sine again, you can have b.
For 2, it is the...

Nadia,
Logically, you look at who Gauchos are, what are their traditional cultures, maybe their history etc. Then you take another look at the current Argentinian society, look for similarities between them and the Gauchos. There are quite a few, depending on your perspectives.
It...

The cost(c) to order n frames is c=4n+p; p is 5. What is the cost for 3 picture frames?
Does this make more sense?
To calculate the cost, you follow cost=number of frames * 4 + 5

Madison,
This is essentially the same question I just answered you, except that the hyperbola is East-West opening , so its equation has the form
(x−h)²/a² - (y−k)²/b²= 1
Follow the same logic to figure out (h, k), a, c and b, you have your equation.
Best,
Heng

The hyperbola is North-South opening , so its equation has the form
(y−k)²/a²-(x−h)²/b² = 1
with
center (h, k), in this case (1,8), i.e. the mid point between vertices or foci.
vertices (h, k±a), i.e. (1, 8±3), a = distance between vertex and center = 3
foci (h, k±c), i.e. (1,...

Alec,
Roman has found the mid point for you.
From what you said, you still need help finding the endpoints. The end points are J and K. J is (6,6), you find a line parallel to the y axis passing 6 on the x axis; and a second line parallel to the x axis passing 6 on the y axis. These two...

The reason people forget math afterwards, sometimes is because the logic is complicated. My solution to that is to break it down to pieces that you do remember.
You said you worked hard and understood math. Before you take a break, while you still understand, pause and summarize your understanding...

assigning the constant expenses part b, the total expense can be expressed as
total expenses=m(price of the wheat)+b
change shape into
f(x)=mx+b
We have when x=250, f(x)=1000 and when x=240, f(x)=980
i.e. 1000=250m+b and 980=240m+b
Solve those: m=2, b=500
the...

Char,
An asymptote of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity. Horizontal asymptotes are parallel to the x-axis (fixed y number) that the graph of the function approaches as x tends to +∞ or −∞. Vertical asymptotes...

I will give it a try:
Microwave hotspots are caused by standing waves in the field, which is half-wavelength apart. In this case, the distance is 4 cm, i.e. wavelength=8 cm.
speed of light in this case: c=wavelength*frequency=8 cm*300 MHz=2.4E+7 m/s
If the frequency is fixed 300...

Essense of decimal is still fraction: 3.14=3+1/10+4/100. It is a way to represent a fraction by a set of common denominators: 1/10, 1/100...
The advantage of decimals is that because all of them are in common denominators already, addition, subtraction and comparing are quite straightforward...

When you have 2/5 and 1/2, the common denominator in this case is 5 X 2 = 10.
If you change the two fractions to be represented by the common denominator 10, 2/5=4/10 and 1/2=5/10
You have your answer: 2/5=4/10<5/10=1/2.
If you are more comfortable thinking about slices of pizza,...