is a valid argument
is not a valid argument
For the first argument: 
From the definition of absolute value function
if 
That is every positive number is its own absolute value. Since
,
we can argue that
so the first argument is valid
For the second argument: 
From the definition of absolute value function

This means that

or

no part of the definition allow for the option
. So the second argument is not valid.
Learn more here: brainly.com/question/11897796
Step-by-step explanation:
11/8 if I'm not wrong
...
Answer:
k = 4
Step-by-step explanation:
if direct variation exists,
input * k = output
here, number of baskets = input and cost = output
3 * k = 12
5 * k = 20
6 * k = 24
8 * k = 32
15 * k = 60
does this always work for one k?
let's try it out
3 * k = 12
divide both sides by 3 to solve for k
k = 4
5 * k = 20
divide both sides by 5 to solve for k
k = 4
6 * k = 24
divide both sides by 6 to solve for k
k = 4
8 * k = 32
divide both sides by 8 to solve for k
k = 4
15 * k = 60
divide both sides by 15 to solve for k
k = 4
as k = 4 no matter what, there is a direct variation with k = 4
Q-12=89
+12 +12
Q=89+12
Q=101
The Answer is 8.06
Work:
4 squared + 7 squared = C squared
16 + 49 = C squared
65 = C squared
√65 = √C squared
8.06 = C/length