Answer:
see explanation
Step-by-step explanation:
A column vector has the form ![\left[\begin{array}{ccc}x\\y\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Following the direction of the arrow , the x- displacement = - 3 and y- displacement = 2 , then column vector is
![\left[\begin{array}{ccc}-3\\2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%5C%5C2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
h + k
= ![\left[\begin{array}{ccc}4\\-3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C-3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ ![\left[\begin{array}{ccc}-2\\-1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C-1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
← add corresponding elements from each vector
= ![\left[\begin{array}{ccc}4-2\\-3-1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4-2%5C%5C-3-1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}2\\-4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C-4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Answer:
1/16
Step-by-step explanation:
if half the amount of blue marbles have sparkles you need to divide the amount of blue marbles in half
so 1/2 of 1/8 is 1/16
Answer:
x = 3/4
Step-by-step explanation:
5x - 2(x + 1) = 1/4
(5x - 2x) - 2 = 1/4
3x - 2 = 1/4
3x = 1/4 (+2)
1/4 + 2 = 2 1/4 turn into decimal form, 2 x 4 = 8 + 1 = 9, so 9/4
3x = 9/4
9/4 divided by 3 = 3/4
