Select a counter-example that makes the conclusion false.

7 - 3 = 4, 8 - 5 = 3, 9 - 8 = 1

conclusion: the difference of two positive numbers is always positive.

counterexample:

It is not necessary that the difference of two positive number is always positive.

Step-by-step explanation:

We are given the following conclusion:

The difference between two positive number is always positive.

We have to provide a counter example to show that this conclusion is false.

It is not necessary that the difference is always positive.

The given examples are :

7 -3 = 4

8 - 5 = 3

9 - 8 = 1

The counter examples can be of the form:

3 - 7  = -4

5 - 8 = -3

8 - 9 = -1

2 - 8 = -6

Thus, we can always find a pair of positive numbers whose difference is negative.

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.