Could I have help with this proof?

Investigate the link between Pascal's triangle and 2 and its powers

lina2011 [118]

Answer:

Outside of probability, Pascal's Triangle is also used for: Algebra, where coefficient of polynomials can be used to find the numbers in Pascal's triangle. Pascal's Triangle is an arithmetical triangle you can use for some neat things in mathematics.

The entries in Pascal's triangle are actually the number of combinations of N take n where N is the row number starting with N = 0 for the top row and n is the nth number in the row counting from left to right where the n = 0 number is the first number.

The mathematical formula for the number of combinations without repetition is N!/(n!(N-n)!).

Step-by-step explanation:

To construct Pascal's triangle, start with a 1. Then, in the next row, write a 1 and 1. It's good to have spacing between the numbers. In the third row, we have 1 and 1 on the outside slopes. The 2 comes from adding the two numbers above and adjacent. Thus, we are adding the number on the left, 1, with the number on the right, 1, to get 1 + 1 = 2.

In the next row, the 3 comes from adding the 1 and the 2. This particular Pascal's triangle stopped at 1 5 10 10 5 1, but we could have continued indefinitely.

6 0

4 years ago

Explain why arctan(1) = 45° or π/4.

xeze [42]

Answer:

Explanation below

Step-by-step explanation:

Inverse Trigonometric Functions

They are defined as the inverse of the basic trigonometric functions which are sine, cosine, tangent, cotangent, secant, and cosecant.

The corresponding inverse functions are called arcsin, arccos, arctan, arccot, arcsec, arccsc.

These inverse functions in trigonometry are used to get the angle with any of the trigonometry ratios.

For example,

$\displayystyle \sin 30^\circ=\frac{1}{2}$

Then:

$\displaystyle arcsin \frac{1}{2}=30^\circ$

Since:

$\tan 45^\circ=1$

Or, equivalently:

$\displaystyle \tan \frac{\pi}{4}=1$

Then:

$\displaystyle arctan(1)=45^\circ$

Or:

$\displaystyle arctan(1)=\frac{\pi}{4}$

6 0

3 years ago

Line l is parallel to line m. the slope of the line l is 2/7. what is the slope of line m ?

motikmotik

The slope of line m is also 2/7 because they are parallel so they have the same slope

7 0

3 years ago

If the grass in Jamie’s yard grew 16 centimeters in 10 days and it was growin at a constant rate. How many days did it take the

svp [43]

Answer:

true

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

What is the range of the parent function y=√-x

maria [59]

Answer:

the answer is

<h2>A. all real numbers </h2>

3 0

3 years ago