Answer:
all work is shown and pictured
Answer:
-13
Step-by-step explanation:
it must be either -11 or -13. -13 is less than -12.
Answer: Area of Parallelogram is 28 units squared.
Step-by-step explanation:
Knowing, any two vector sides of a parallelogram sharing the same initial point, we can find the area of parallelogram that two vectors are shaping, using the cross product of these two vectors a×b, where the area is given by
Area= |a×b| ___ (1)
From the given points,we may choose any three of them such and find a two vector and expresses the sides of parallelogram " or one side and a diagonal of parallelogram" ,we may choose for example B ,C and D.
Moreover, we may choose point B, to be common point for the two sides " the initial point of two vector" thus we need to find vector BD and vector BC .
Calculations are given in picture.
Answer
1. ![2a+3b-a=a+3b](https://tex.z-dn.net/?f=2a%2B3b-a%3Da%2B3b)
2. ![(4x+3y)-(2x-5y)=2x+8y](https://tex.z-dn.net/?f=%284x%2B3y%29-%282x-5y%29%3D2x%2B8y)
3. ![-3(2x-1)-5=-6x-2](https://tex.z-dn.net/?f=-3%282x-1%29-5%3D-6x-2)
4. ![7xy-2xz+4xz-12xyz+2zx=7xy+4xz-12xyz](https://tex.z-dn.net/?f=7xy-2xz%2B4xz-12xyz%2B2zx%3D7xy%2B4xz-12xyz)
5. ![-3(2x-5)-4(x+7)=-10x-13](https://tex.z-dn.net/?f=-3%282x-5%29-4%28x%2B7%29%3D-10x-13)
Step-by-step-explanation
1. The given expression is ![2a+3b-a](https://tex.z-dn.net/?f=2a%2B3b-a)
Regroup the terms to obtain;
![=2a-a+3b](https://tex.z-dn.net/?f=%3D2a-a%2B3b)
Simplify to get;
![=a+3b](https://tex.z-dn.net/?f=%3Da%2B3b)
2. The given expression is ![(4x+3y)-(2x-5y)](https://tex.z-dn.net/?f=%284x%2B3y%29-%282x-5y%29)
Expand the brackets to get;
![=4x+3y-2x+5y](https://tex.z-dn.net/?f=%3D4x%2B3y-2x%2B5y)
Regroup the terms to get;
![=4x-2x+3y+5y](https://tex.z-dn.net/?f=%3D4x-2x%2B3y%2B5y)
Simplify
![=2x+8y](https://tex.z-dn.net/?f=%3D2x%2B8y)
3. The given expression is ![-3(2x-1)-5](https://tex.z-dn.net/?f=-3%282x-1%29-5)
Expand the brackets to get;
![=-6x+3-5](https://tex.z-dn.net/?f=%3D-6x%2B3-5)
Simplify;
![=-6x-2](https://tex.z-dn.net/?f=%3D-6x-2)
4. The given expression is ![7xy-2xz+4xz-12xyz+2zx](https://tex.z-dn.net/?f=7xy-2xz%2B4xz-12xyz%2B2zx)
Regroup the terms to get;
![=7xy-2xz+2zx+4xz-12xyz](https://tex.z-dn.net/?f=%3D7xy-2xz%2B2zx%2B4xz-12xyz)
Apply the commutative property of multiplication to get;
![=7xy-2xz+2xz+4xz-12xyz](https://tex.z-dn.net/?f=%3D7xy-2xz%2B2xz%2B4xz-12xyz)
Simplify;
![=7xy+4xz-12xyz](https://tex.z-dn.net/?f=%3D7xy%2B4xz-12xyz)
5. The given expression is ![-3(2x-5)-4(x+7)](https://tex.z-dn.net/?f=-3%282x-5%29-4%28x%2B7%29)
Expand the brackets to get;
![=-6x+15-4x-28](https://tex.z-dn.net/?f=%3D-6x%2B15-4x-28)
Regroup the terms to get;
![=-6x-4x-28+15](https://tex.z-dn.net/?f=%3D-6x-4x-28%2B15)
Simplify;
![=-10x-13](https://tex.z-dn.net/?f=%3D-10x-13)