The slope of the diagonal ab and it’s equation

slope = 0, equation is y = - 2

step-by-step explanation:

the endpoints of ab are a(- 2, - 2) and b(2, - 2)

since the y- coordinates are equal both - 2 then the line is horizontal and parallel to the x- axis with slope = 0

the equation of a horizontal line is y = c

where c is the value of the y- coordinates the line passes through

in this case the line passes through points with y- coordinate of - 2

hence equation of ab is y = - 2

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)