3. List all of the elements in each of the following subgroups. (h) The subgroup generated by 5 in U(18) CHAPTER 4. CYCLIC GROUPS (i) The subgroup of R* generated by 7 (j) The subgroup of C* generated by i where i? = -1 (k) The subgroup of C* generated by 2i (1) The subgroup of C* generated by (1+ i)/v2

Q: 2.) Solve for x and y 21 25 X y

A:

Q: Solve. ET + 16y-2y² - 32 = 0

A: We have given an equation  y3+16y-2y2-32=0 yy2+16-2y2+16=0 y2+16y-2=0 y2+16=0 or y-2=0 y2=-16 or y=2…

Q: 1. Solve using substitution 2x + y = 14   3x - 2y = 7

A:

Q: 5) Solve for x. 2Vx + 2 - V3r + 4 = 1

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: Solve for X. X = [1][1]= X -6 -5] I

A:

Q: Solve for m. -3+m = 10          /9

A: To solve for m

Q: Solve. 3 x x 4 = -13

A:

Q: Solve for x. 3x 2x + 4 24 27

A: The given diagram is,

Q: Solve ∆ABC. B = 25º, a = 125, c = 100 A= C= b=

A: Draw a schematic diagram of given question.

Q: Solve A= 2BC+ 2BD for B. B =

A: Let,  ax+b=c This gives, x=(c-b) /a is the required solution for x.

Q: Solve the following equation. 32x+3 = 12 x= (Type an exact answer.)

A: We have to find the value of x

Q: if mZD = 5x - 39 and E mZA= 2x + 12.

A: Two similar triangles are there in the given diagram. So corresponding angles are equal.

Q: Solve. 8x + 6y = -10 бу 3D 8x + 9y = 5 %3D

A: Given, 8x+6y=-10 8x+9y=5

Q: How many non-negative integer solutions are possible of the following equation?

A:

Q: 6. Solve the equation for x. V3x+2-3/2x-2 C. 8 a. 15 15 d. 8 b. x- 3

A:

Q: 4х +1 Зx + 2х 1 3х +2 | 8 a.

A:

Q: Ax+By=C. Solve for x

A: The equation is given as

Q: 5. Solve each of the following equations for x: a. 3x+7=9x+1 b. 16+3 64*-5 =

A: Use the exponent rules: 1). amn=am·n 2). If am=an then m=n.     (a). The given equation is:…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.