The general direction that Lin walked from the gym to his house is; B: Lin walked southwest, creating an obtuse triangle.
<h3>How to interpret distance bearing?</h3>
We are given;
Distance between the lecture hall and gym = 910 feet.
Distance between the gym and Lin apostrophe's house = 615 feet.
Distance between the lecture hall and Lin apostrophe's house = 651 feet.
Now, since this 3 distances form a triangle and the 3 distances are unequal, then we can call it an obtuse triangle since he walked west and then walked northwest.
Now, since he walked back to his house from the gym, we can say that he walked southwest if we picture the bearing of his first two directions.
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Answer:
The form of hypothetical syllogism is;
If P, then Q.
If Q, then R.
Therefore, if P, then R.
From the given statement we have:
M represents "If a, b, and c are real numbers such that a=b",
N represents "a+c=b+c"
O represents "c+a=c+b".
we have;
If M, then N
If N, then O
Therefore, by hypothetical syllogism.
therefore, if M, then O.
Therefore, the statement completes the syllogism is:
If a+c=b+c, then c+a=c+b.
Answer:
B. 3.
Step-by-step explanation:
At the limit we can take the numerator to be √(9x^4) = 3x^2
The function is of the form ∞/ ∞ as x approaches ∞ so we can apply l'hopitals rule:
Differentiating top and bottom we have 6x / 2x - 3. Differentiating again we get 6 / 2 = 3.
Our limit as x approaches infinity is 3.
Answer - Yes it’s rational
