Need help with 4-10 pleaseeee
1 answer:
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Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of and the second line has a slope of
.
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:
We now know that for the first line, which means that the slope of the second line is
. With this, we have the following equation for our new line:
where is the Y-intercept that we now need to determine with the coordinates given in the problem statement,
:
Finally, we can create our line:
Answer:
It is valid.
Venn Diagram is attached.
I also provided a truth table.
I also provided a couple of names this argument could be called.
Please let me know if you have any questions about this question.
Thank you kindly.
Step-by-step explanation:
If a person is a poet, then that person is a loner.
If a person is a loner, then that person is a taxi driver.
If a person is a poet, then that person is a taxi drive.
This is in the form:
p->q
q->r
Therefore, p->r.
This is an example of a hypothetical syllogism.
The first thing my mind goes to when seeing this is the transitive property which says if A is related to B and B is related to C then A is related to C.
So this syllogism also has another name and it is called the principle of transitivity of implication.
Let p=person is a poet, q=person is a loner, and r=person is a taxi driver.
I'm going to make a truth table and compare the truth values of the propositions to the conclusion.
Since we have 3 variables, we are going to need 2^3=8 rows.
p q r p->q q->r (p->q) and (q->r) conclusion=(p->r)
T T T T T T T
T T F T F F F
T F T F T F T
T F F F T F F
F F F T T T T
F F T T T T T
F T F T F F T
F T T T T T T
So we are trying to see if we ever have the preposition part true and the conclusion false.
That doesn't happen so the argument is valid.
