3 · r · 4 · t = 12 r t
Chat with our AI personalities
which function is a linear function? A. f(x)= x^3+x B. g(s)= 1-4s C. h(t)= 2t+1/t D. f(r)= square root of r
4x-4y-ty+xt = 4x+tx-4y-ty = x(4+t) - y(4+t) = (x-y)*(4+t)
A triangular number is a member of the series which is calculated as follows: t(1) = 1 = 1 t(2) = 1 + 2 = 3 t(3) = 1 + 2 + 3 = 6 t(4) = 1 + 2 + 3 + 4 = 10 and so on. t(n) = 1 + 2 + 3 + 4 + ... + n Fortunately, there is a simpler formula t(n) = n*(n+1)/2 To see why they are called triangular numbers, consider the following pattern: Put one mark in the middle of a line. Then, in the line underneath, put 2 marks. You now have three [=t(2)] marks in the form of a triangle. x x x In the next line, put three marks. You now have six [=t(3)] marks in the form of a triangle. x x x x x x and so on.
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
3*4t = 12t