Pls hurry i’m being timed constructing a tangent to a circle through a point on the circle

•construct a tangent to the circle at point b

pls include picture if you can!

Matteo makes raspberry punch. the table shows how many parts ginger ale and raspberry juice to use for a batch. raspberry punch parts ginger ale 2 parts raspberry juice 3 matteo decides to add one part of raspberry juice. what is the new ratio of ginger ale to raspberry juice?

What is the value of x in the following equation. -x ^3/2 = -27

[10 points, algebra 2-simplifying complex fractions]according to my answer key the restrictions are -1 and 4. but why not positive 1?