What are the coordinates of the point on the directed line segment from (−1,−8) to (−1,7) that partitions the segment into a ratio of 2 to 3?

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. the punch has 2 liters of ginger ale. part a: write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. define the variable used in the equation and solve the equation. hint: 0.8x represents the number of liters of cranberry juice in the punch. (5 points) part b: how many liters of cranberry juice are present in the punch? show your work.

What is the value of the expression below? (81^2)^1/8

What is the distance between the points (2 -3) and (-6 4) on the coordinate plane