Cho x, y là các số nguyên dương thoả mãn: (x+y)^2+6x+2y+4 là 1 số chính phương. Chứng minh rằng: x=y

Anthony is making a collage for his art class my picking shapes randomly. he has five squares, two triangles, two ovals, and four circles. find p( circle is chosen first)

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 4 p plus 4 x plus 2 pxequals56. suppose also that p and x are both functions of time, measured in days. find the rate at which x is changing when xequals2, pequals6, and startfraction dp over dt endfraction equals1.5.