Assume the statement is true for n=k. Prove that it must be true for n=k+1 , therefore proving it true for all natural numbers, n. Hint: Since the total number of dots increases by n each time, prove that d(k) + (k+1) = d(k+1).

Brent needs to paint a logo made using two right triangles. the dimensions of the logo are shown below. what is the difference between the area of the large triangle and the area of the small triangle? (1 point) select one: a. 4.5 cm2 b. 8.5 cm2 c. 16.5 cm2 d. 33.0 cm2

Suppose a pendulum is l meters long. the time, t,in seconds that it tales to swing back and forth once is given by t=2.01

If f(x) = x+8 and g(x) = 4x- 3, find (f+g)(x)