The Pythagorean theorem:
The theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
<h2>The Pythagorean Theorem</h2><h3>Discoverer: Pythagoras</h3>
In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. These calculations were discovered just as a tool of the ancient civilization of Babylonians who used it to divide up farmland; this was roughly 1,000 years before the birth of the discoverer, Pythagoras, a Greek philosopher.
The formula comes like this:

Here the denominators are quadratics , so we need to factorise them first
1/(x²-5x) +3/(x²+2x-35)
factorising x²-5x ,
here GCF is x, so taking x out we have
x(x-5)
factorising x²+2x-35 using AC method,
we find factors of -35 that add up to give 2
(x-5)(x+7)
Since we have x-5 common in both denominators, so lcd of the rational expression will be product of x(x-5)(x+7)
lcd is x(x-5)(x+7)
Answer:
Step-by-step explanation:
<u>We need to find the difference in progress:</u>
- 1/3 - 2/8 =
- 1/3 - 1/4 =
- 4/12 - 3/12 =
- 1/12
The first student is 1/12 ahead
Answer:
B) 4
Step-by-step explanation:
It would be 4 because when you cross multiply 16*x and 1*64, you get 4/1.
Answer:
first question: 2.62 or 2 31/50
second question: i dont know