associative
Chat with our AI personalities
Sum of the powers. Thus: xa * xb = xa+b
Any number raised to the power 0 is 1. This follow from the law of multiplications of power: xa * xb = xa+b Now, if you put b = 0, you get xa + x0 = xa+0 and since a+0 = a, the right hand side is xa. So you have xa * x0 = xa and using the property of the multiplicative identity, xa = 1.
The equation for the slope of a line in the xy plane is change in y per unit change in x. So, if A = (xa, ya) and B = (xb, yb) are two points on the line then slope = (yb - ya)/(xb - xa). The slope is undefined if xb = xa. In the latter case, the line is vertical, and its slope is undefined (or infinite). If the line is a curve then you need to take the limit of the above ratio as (xb-xa) tends to zero.
If the coordinates of the three vertices are (xa, ya), xb, yb) and (xc, yc) then the coordinates of the centroid are [(xa+xb+xc)/3, (ya+yb+yc)/3].
Circle