Yards or feet would be your best bet it depends how big the barn is.
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3 Answers: Choice A, Choice B, Choice E</h3>
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Explanation:
Let's go through each answer choice one by one to see if it's true or false.
- A) This is true. Parallel lines have equal slopes, but different y intercepts.
- B) This is true because of the corresponding angles theorem.
- C) This is false. The statement applies to perpendicular lines, rather than parallel ones.
- D) This is false in general. The only time it's true is when the consecutive interior angles are 90 degrees each. Otherwise, the statement is false.
- E) This is true. Let's say we drew any diagonal line we wanted. Now imagine picking a point on that line and shifting it up 5 units. Do this for another point and draw a line through the two separated points. This forms a parallel line. The upper line has been shifted up 5 units compared to the lower line.
- F) This is false in general. It's only true when both alternate interior angles are 90 degrees each; otherwise, it is false.
If one cant be given, then most likely 12. Using 3 as the integer, as they would be the second lowest number.. and multiplying it by 4, 12.
Parameterize the line segment (call it 
) by
with 
. Then
and the line integral is
Alternatively, if we can show that 
is conservative, then we can apply the fundamental theorem of calculus. We need to find 
such that 
, which requires
Integrating both sides of the first equation with respect to 
gives
Differentiating both sides wrt 
gives
Differentiating wrt 
gives
So we have
and is conservative. By the FTC, we find
