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How do you factor t squared minu s t-1squared?
Use the formula a^2 - b^2 = (a -b)(a + b). So: t^2 - (t - 1)^2 = [t - (t -1)][t + (t -1)] Now you can work and simplify the given expression. =(t - t +1)(t + t -1) =(1)(2t -1) = 2t -1
What is the fraction 5s squared t squared over 40st simplified?
[5(s^2)(t^2)]/40st since it is multiplication you can separate the fraction; = (5/40)(s^2/s)(t^2/t) = (1/8)st or = st/8
How do you convert 2 coordinate points into slope intercept form y equals mx plus b?
Suppose the points are P = (r,s) and Q = (t,u) Then gradient of PQ = (u - s)/(t - r) = m, say. Let Z = (x,y) be any point on the line. Then gradient ZP also = m that is (y - s)/(x - r) = m Equating the two expressions for m, (y - s)/(x - r) = (u - s)/(t - r) or y - s = (x - r)*(u - s)/(t - r) y = (x - r)*(u - s)/(t - r) + s = x*m - r*m - s This is of the form y = mx + b, where m is as defined above and b = -r*m + s
What is the formula for the area of a triangle given only the lengths of the sides?
L=sqr((1/2 a+b+c) * (s-a) * (s-b) * (s-c))
How many permutations are there for the letters in the word basketball?
BASKETBALL = 10 letters B=2 A=2 S=1 K=1 E=1 T=1 L=2 Number of permutations = 10! /2!2!2! = 10x9x8x7x6x5x4x3x2 / 2x2x2 =3,628,800 / 8 =453,600
