Mewhich equation applies the associative property of multiplication?a. 1/2⋅(5/8+3/6)=(1/2⋅5/8)+(1/2⋅3/6) b. (−4/11−2/3)−3/4=−4/11−(2/3−3/4) c. 4/9⋅(−3/8)⋅9/4=4/9⋅9/4⋅(−3/8)d. −12/5⋅(7/12⋅1/9)⋅8/5=(−12/5⋅7/12)⋅( 1/9⋅8/5)

The answer to your question is D. −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 = (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5)

Why?: ~because the associative property of multiplication means that no matter which what you change the answer option, you'll still get the answer for example, if you multiply  −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 The answer would be the exact same as (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5) because, if you go through this list of answers you'll see that they are the same, so you should get the same answer which is D.  −12/5 ⋅ (7/12 ⋅ 1/9) ⋅ 8/5 = (−12/5 ⋅ 7/12) ⋅ (1/9 ⋅ 8/5)

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)

i believe that the answer is

b. y-1=-2(x-4)

hope this !