A) use euclidean algorithm to find the greatest common divisor of 189 and 114? b) find a pair of integers x, y such that 189x + 114y = -6. c) find the prime number factorisation of 114. 2. [6 marks] a) express the continued fraction (2: 4, 1, 2) as a rational number. b) express the continued fraction -1; 2, 3,2 as a real number, where ** means a periodic repetition of ** 3. [6 marks] a) convert the 4-ary expansion 2.1301, into binary in simplest possible way (the efficiency of your solution will be taken into account). b) write (-21.231)s as a rational number in base 10. 4. [2 marks] what is god (2n + 1, 2n-1) for an integer n? (you must prove for your answer).

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

hm let me think hm think think hm think yes