Recall that an integer m is a square if m= k² for some integer k and is a triangular number if m = n(n+1)/2 for some integer n. Determine how many integers are simultaneously square and triangular.

Show, without a calculator, that 8 sinsinsin = √3

Solve for x in each of the following.   A)   x - (minus)11 over 12 (11 twelths) = 5 sixths     B)     x - (minus) 2 over 2 cubed 2 squared  = 3 over 2squared 3squared

In P2, find all real numbers a such that x - ax +1-a? is in the span of x -2x+1, x-1,and3x -2x-1. Oa = -2 or a =1 O a = -1 or 2 a can be any real number Oa = -2 or a=2 a =0

9. The x-intercepts of the function y =x? +16x - 36 are a. - 2 and - 18 b. - 2 and 18 c. 2 and – 18 d. 2 and 18 10 WhicL

Answer the following question. Find three integer values of x such that 4*+42021 +42024 For is a perfect square (the square of an integer). your answer, you must list exactly three integers.

b- How many zeros does 4000! end in? Justify your answer, show your work