its so simple....
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
.........................................
that is pascal's triangle coeffient law......just sum the two numbers and answer is yours
Yes. If you mark the odd numbers in Pascal's Triangle, it would form Sierpinski's Gasket.
That would be a scalene triangle.
That is the definition of a triangle. If it did not have three sides it would not be a triangle. If it did not have three angles, it would not be a triangle.
It depends on what kind of triangle. A scalene triangle (no equal sides or angles) would not have any lines of symmetry. An isosceles triangle would have 1 line of symmetry, and an equilateral triangle would have 3 lines of symmetry.
That would be an equilateral triangle.
Yes. If you mark the odd numbers in Pascal's Triangle, it would form Sierpinski's Gasket.
We would need to have the list of correlation coefficients to respond to this question.
you would change the coefficients
Pascal's triangle was originally devised as a means of determining binomial coefficients: when calculating (x+y)^n, Pascal's triangle is a very convenient way to find the coefficients of the result. Go to the xth row of Pascal's triangle, and use the numbers as coefficients for each term. E.g., (x+y)^4 would be found on the 4th row, the coefficients 1-4-6-4-1. Thus (x+y)^4 = 1(x^4) + 4(x^3)y + 6(xy)^2 + 4x(y^3) + 1(y^4). Pascal later discovered the triangle's use for determining probabilities as well, and mathematicians since have found myriad other uses for it.
In order for a spring to "expand" with applied voltage, there would need to be a current, and its resulting power, creating heat. This effect is most noticeable when the "spring" is a bimetallic strip, having different coefficients of expansion, causing the spring to "bend".
The balance equation would be 4Fe + 3O2 ==> 2Fe2O3, so the coefficients are 4, 3, 2.
The coefficients in a rational expression would be rational numbers.
Westward expansion
a right triangle
1,3,1,3
The contrapositive would be: If it is not an isosceles triangle then it is not an equilateral triangle.
That would be a scalene triangle.