Make addition and multiplication tables for z2[a] = {0, 1, a, a + 1}, where by definition arithmetic is done in z2 according to each of the following rules: a. q? = a + 1; b. q2 = 1; decide in each case whether or not z2[x] is a field.

the answer is a.

135 and 80

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)