Geometry help, please! Will post another question with lots of points for you to claim freely for helping me out here!
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1. Determine whether the lines given by the equations x + y = and =/+ are
perpendicular.

2. Two lines having the same -intercept are perpendicular. If the equation of one of
these lines is = −/+, what is the equation of the second line?

3. Given a point (−, ) and a line = x − , what is the slope of the line?

4. Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the
point and parallel to the line.

5. Find an equation of a line through (, −) and parallel to the line =/+ .
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thank you! will repost if this gets taken down for "too much"

answer:It was -40 this morning so the kids boiled some water and threw it outside. Super cool effect. We wondered, "what would happen if we did this with coloured water." We put red food colouring (gel) in it and it dissolved. When it was thrown, it almost immediately separated from the water and fell downward while the plume of evaporation went up. (I wish I could attach the photos for you to see). Why would this be? Would the food colouring have a higher boiling point? Can you help me understand what happened here. Also, would the implications be that the water cycle has been cleaning the water for years, but with new chemicals with lower boiling points be entering our water system and unable to be removed?

answer:

It is very hard to give a definitive answer because your description is pretty vague. My best guess would be that something in the food color made it remain liquid when the water froze so that it separated. For example, propylene glycol, which is used in many food colorings, has a melting point around -60°C so it would not freeze at -40°

Step-by-step explanation: