Daine simplified the expression below. 8(1 2i) – (7 – 3i) = 1 5i what mistake did daine make? a. he did not apply the distributive property correctly for 8(1 2i). b. he did not distribute the subtraction sign correctly for 7 – 3i. c. he added the real number and coefficient of i in 8(1 2i). d. he multiplied the two complex numbers when he should have subtracted.

The correct option is a.

Step-by-step explanation:

The given equation is

Simplify the left hand side of the equation.

Using distributive property.

The correct answer is 1+3i.

He did not apply the distributive property correctly for 8(1+2i).

His calculation is shown below.

Therefore the correct option is a.

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation:

c. he organized a political resistance group based on islam.