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Q: What property allows you to rewrite xa xb as xa b?
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How do you find the gradient of two points?

If A = (xa, ya) and B = (xb, yb) and xa is not equal to xb, then gradient of AB = (ya - yb)/(xb - xb).If xa = xb then the gradient is undefined.


How do you prove that a to the power of 0 equals 1?

You first define negative powers as the reciprocals of the positive powers ie x-a = 1/xa. You have the folowing property for positive powers: xa * xb = xa+b You extend the following property to negative powers: So xa * x-a = x0. But by definition, xa * x-a = xa * 1/xa = 1 So x0 = 1


What is the calculation to find the slope on a line graph?

Given the points A = (xa, ya) and B = (xb, yb), then the slope is(ya - yb)/(xa - xb) or, equivalently, (yb - ya)/(xb - xa).The equation is sometimes referred to as "rise"/"run".


What is a product of power in math?

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Why is 6 raised to the 0 power 1?

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.


What is the equation for exponential interpolation?

The correct formula for exponential interpolation is: y =ya*(yb/ya)^[(x-xa)/(xb-xa)], xa<x<xb and also, x=xa*[ln(yb)-ln(y)]/[ln(yb)-ln(ya)]+xb*[ln(y)-ln(ya)]/[ln(yb)-ln(ya)], ya<y<yb


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It means that the rise divided by the run for a curve has the same value. If A and B are any two points on the curve, with coordinates (Xa, Ya) and (Xb, Yb), then (Yb - Ya)/(Xb - Xa) is a constant.


What is equation for the slope of a line?

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.


How do you calculate the centroid of a triangle?

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].


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The sum of Xa and Xb for any solution is always 1?

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xa divided by xb = x(a-b)