Verified Answer :

saya

Lets solve this step by step.

A is not a positive because (-9)8=-72.

B if positive because -12(-3)=36. A negative times a negative is a positive.

C is also a positive because (-2/5)*(-4) is a positive.

D is not a positive because like A, one is negative and the other number is positive. A negative times a positive is a negative.

I hope it helped!

TSO

We need to solve this by looking at each answer choice.

A. \(- \frac{w}{9}=8\)

To solve for w, we need to multiply by -9 on both sides.

So, \(-\frac{w}{9} \times -9 = 8 \times -9\\\\w = -72\)

This is not a positive solution. So eliminate A.

B. \((-12) = \frac{y}{(-3)}\)

To solve for y, we need to multiply by -3 on both sides.

So, \((-12) \times (-3) = \frac{y}{(-3)} \times (-3)\\\\y = 36\)

This is a positive solution. This is one of our answers.

C. \([tex]-4\times \frac{-5}{2}= -\frac{2}{5}z\times -\frac{5}{2}\\\\z = 10\)[/tex]

We need to multiply by -5/2 on both sides to solve for z.

This is a positive solution. This is one of our answers.

D. \(\frac{1}{7}x = -2\)

We need to multiply by 7 on both sides to solve for x.

So, \(\frac{1}{7} x \times 7 = -2 \times 7\\\\x = -14\)

This is a negative solution. So this is not the answer.

So your final answer is B and C.