Will the opposite of a positive number always, sometimes, or never be a positive number? explain your reasoning.

Positive numbers are greater than zero.

If you think of a number line, you can visualize positive numbers as a certain number of steps taken starting from zero and walking right.

The opposite of a positive number means to take the same number of step, but this time you're walking to the left.

For example, the number 12 means that you have to take 12 steps to the right starting from 0, and its opposite -12 means that you have to take 12 steps to the left starting from 0.

So, the opposite of a positive number will always sit on the left of zero, which means that it is less than zero, which means that it's negative.

So, the opposite of a positive number can never be positive.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

answer: 75°

step-by-step explanation:

∠esk is the supplement of ∠edk, so is 100°. ∠esd = 1/2·arc ed, so is 25°.

since ∠esk = ∠esd + ∠dsk

you have 100° = 25° + ∠dsk . .

fill in known values 75° = ∠dsk . . . . .

subtract 25°

step-by-step explanation: