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:
x = -(3 y)/2
Step-by-step explanation:
Solve for x:
-2 x - 3 y + 3/(x + y) - (3 x - 3 y)/(x^2 - y^2) = 0
Simplify and substitute z = x + y.
-2 x - 3 y + 3/(x + y) - (3 x - 3 y)/(x^2 - y^2) = -y - 2 (x + y)
= -y - 2 z:
-y - 2 z = 0
Multiply both sides by -1:
y + 2 z = 0
Subtract y from both sides:
2 z = -y
Divide both sides by 2:
z = -y/2
Substitute back for z = x + y:
x + y = -y/2
Subtract y from both sides:
Answer: x = -(3 y)/2
Answer:Yes
Step-by-step explanation:
Because if the parallelogram has an right angle , the opposite angle will also be an right angle.So, in conclusion parallelogram ABCD is a rectangle.
Here you go one this should help
