(PLSS HELP) What is the Quotient of ^??
options
A. X+2
B. x-2
C. X+6
D. x-6

Step-by-step explanation:

Without checking it is x - 2 as -12/6 = -2

Lets verify by multiplication:

Confirmed

(x³+3x²-4x-12)÷(x²+5x+6)

Doing middle term factorization

(x²(x+3)-4(x+3))÷(x²+3x+2x+6)

Taking common

(x+3)(x²-4)÷(x(x+3)+2(x+3)

(x+3)(x+2)(x-2)÷(x+3)(x+2)

x-2

B.x-2is a required answer.

2.56 is the width of the garden

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1