Triangle STU is rotated 270° counterclockwise about the origin to create triangle S’T’U’. If point U of triangle STU is (a, b), which algebraic representation best describes point U’ of triangle S’T’U’? (a – 270, b – 270)

(a , –b)

(b, a)

(b, – a)

5x + 2 = 12 solve the following equation. then place the correct number in the box provided.

In a coastal town, the humidity, measured in grams of water per kilogram of air, increases by 43% for every 1 degree celsius increase in temperature. a scientist observes that the humidity on monday morning is 5.75 grams per kilogram. he wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram. let t represent the increase in temperature, in degrees celsius, from monday morning's observation. write an inequality to represent the situation, and use it to determine the desired temperature increase.

Describing the rules ot signea numbers quick check complete these sentences to describe the rules of dividing signed numbers.