Let a = 1259 and b be an integer that is relatively prime to a. Every solution of the linear Diophantine equation ax+by=996b is of the form x = xo + ck, y=yo+dk, kez where c, d are certain integers and x = 0, y = yo is a particular integer solution. Assuming that d is a positive integer, what is the value of d? Enter O if there is not enough information to determine the value of d or if the Diophantine equation does not have any solutions.

Question 1/9 NEXT A BOOKMARK Part A The rectangles shown are made of unit squares. Enter a number in each box to label the side lengths of each rectangle. Part B If both rectangles are pushed together without overlapping to form a longer rectangle, what will be the area of the new rectangle? Enter a number in the box to complete the answer statement. units units units units Each is 1 square unit. If both rectangles are pushed together, the new rectangle will have an area of square units.

Question 8 How many ways can the letters of the word THEORY can be arranged in a row if TH must remain next each other as either TH or HT?     120       110       240     720

QUESTION 7 The sum of two numbers is 22. the product of these numbers is 120. Find these two numbers. (In order to receive credit, you must show algebraically how you found these numbers. You will receive no credit for stating the numbers without work shown) Attach File Browse Local Files Browse Content Collection