Answer:
Page 1: 2u - 3v = < -7, 1 >
Page 2: < -7, 9 >
Step-by-step explanation:
Page 1: Given u and v, we need 2u - 3v. With vectors, you can multiply both terms by any scalar (the coefficient, i.e. 2u, the 2 is the scalar)
2u = 2<1, 2> = <2, 4>
3v = 3<3, 1> = <9, 3>
So 2u - 3v = <2, 4> - <9, 3> = <2 - 9, 4 - 3> = <-7, 1>
Page 2: The same steps apply, but when you see i and j, the coefficient of the i term is the x value, and the coefficient of the j term is the y value, so
3u - 2v = 3< 1, 1> - 2<5, -3> = <3, 3> - <10, -6> = <3 - 10, 3 - (-6)> = <-7, 9>
Mathematical Induction is used in proving the statement is which holds the element in processing another statement and also proves that it is the key to proceed to another statement. In geometry, it is used to proved that the present geometric pattern hold the element in continuing in predicting the next geometrical pattern and also the next pattern also has this element.
Let x = the price for theater ticket
so, x + 60 = 450
x = 390
there are 15 members in the club so 390/15 = $26 per person
Answer:
C
Step-by-step explanation:
Using Parts Whole Postulate we can write:
∠LQP = ∠LQR + ∠PQR
We know that ∠LQP = 77° and ∠LQR = 35° so we can write:
77° = 35° + ∠PQR
Therefore the answer is 77 - 35 = 42°.
