Triangle abc has been rotated 90 degrees to create triangle DEF. using the image below prove that lines BC and EF have the opposite and reciprocal slopes

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

What is the average rate of change for this function for the interval from x=2 to x=4 ?

14. (05.02 lc) what is the value of y in the solution to the following system of equations? (5 points) 2x + y = −4 5x + 3y = −6