Given:
A line through the points (7,1,-5) and (3,4,-2).
To find:
The parametric equations of the line.
Solution:
Direction vector for the points (7,1,-5) and (3,4,-2) is
Now, the perimetric equations for initial point 
with direction vector 
, are
The initial point is (7,1,-5) and direction vector is . So the perimetric equations are
Similarly,
Therefore, the required perimetric equations are 
and .
It's true, assuming that angles 1 and 2 are are at the intersection of line t and l/m
320 portions of waffles can be made with one container.
Step-by-step explanation:
Given,
Milk is bought in 1 gallon container.
One portion of waffles require = 0.4 ounces of milk
We know that;
1 gallon = 128 ounces
Now;
No. of portions of waffles = 
No. of portions of waffles = 
No. of portions of waffles = 320
320 portions of waffles can be made with one container.
Answer:
The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.
Step-by-step explanation:
The proof is rigourous and well written, so we discard the second answer.
This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.
A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.
To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."
Answer:
r = 13
Step-by-step explanation:
r-6=7
Add 6 to each side
r-6+6=7+6
r = 13
