A line perpendicular to another occurs at the negative reciprocal of the slope of the original line. Why this is, I can further explain in the comments if you're interested. What is a reciprocal though? a reciprocal, if you're unfamiliar, is just the flipped form of it.
As an example, the negative reciprocal of 1/4 is -4/1. I multiplied 1/4 by a negative, and flipped the fraction.
So, what would the negative reciprocal of 3 be? well, you can imagine 3 to be 3/1 to help. so we multiply it by a negative, which gives us -3/1, and then we flip it, giving us -1/3. This is the slope of our unknown line. Because of this, we can mark out...well all of them haha. You need to double check your question and answers provided. With the info you've given me, none of your answers are correct. Let me know what happened if you can! if not, I would question your teacher, cause they messed up somewhere haha.
Answer:
6,12,15,18
Step-by-step explanation:
in my answer I multiplied each x with 3 and then divided i am not sure how you would do it but normally we would multiply
Answer:
The black, green, and blue charts are all functions
Step-by-step explanation:
I assume 
has counterclockwise orientation when viewed from above.
By Stokes' theorem,
so we first compute the curl:
Then parameterize 
by
where the 
-component is obtained from
with 
and 
.
Take the normal vector to to be
Then the line integral is equal in value to the surface integral,
(9/12) / (1/8) =
3/4 * 8 =
24/4 =
6 <=== u would use 6 one-eights size measuring cups to equal 9/12 of corn syrup
