What property is used to rewrite (x - 2)(5y +10z) as 5y (x - 2) + 10z (x - 2)? Commutative Property of Multiplication

Commutative Property of Addition

Associative Property of Multiplication

Distributive Property

Ariel is working at a meat packing plant for 5 nights a week. her regular wage is $11 an hour. she earns tine and a half for any overtime hours. this week she worked 9 hours of over time .how much will ariel earn for overtime this week ?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.

Find the length of the normal and the angle it makes with the positive x-axis. (see pictured below)