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>
2(x+3)=7x-24
2x+6=7x-24
(move 7x to the left by subtracting from both sides, and move the 6 to the right by subtracting from both sides)
-5x=-30
(divide -5 from both sides to get x by itself, and because the 30 and 5 are both negative, two negatives make a positive)
x=6
hope this helped
Answer:
yes
Step-by-step explanation:
Answer:
19 degrees
Step-by-step explanation:
vertical angles equal the same
That would be 2 5/6 / 3/10
= 17/6 / 3/10
= 17/6 * 10/3
= 85/9
= 9 4/9 hours answer
