Answer:
Step-by-step explanation:
A parallelogram also has the following properties:
Opposite angles are congruent;
Opposite sides are congruent;
Adjacent angles are supplementary;
The diagonals bisect each other.
Answer:
![6x^2 -x - 1](https://tex.z-dn.net/?f=6x%5E2%20-x%20-%201)
<em>By degree: Quadratic</em>
<em>By number of terms: Trinomial</em>
<em />
![3x + 4](https://tex.z-dn.net/?f=3x%20%2B%204)
<em>By degree: Linear</em>
<em>By number of terms: Binomial</em>
<em></em>
![2](https://tex.z-dn.net/?f=2)
<em>By degree: Constant</em>
<em>By number of terms: Monomial</em>
<em></em>
Step-by-step explanation:
Given
![(x - \frac{1}{2})(6x + 2)](https://tex.z-dn.net/?f=%28x%20-%20%5Cfrac%7B1%7D%7B2%7D%29%286x%20%2B%202%29)
![(7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)](https://tex.z-dn.net/?f=%287x%5E2%20%2B%203x%29%20-%5Cfrac%7B1%7D%7B3%7D%2821x%5E2%20-%2012%29)
![4(5x^2-9x+7)+2(-10x^2+18x-13)](https://tex.z-dn.net/?f=4%285x%5E2-9x%2B7%29%2B2%28-10x%5E2%2B18x-13%29)
Required
Simplify and categorize the result based on their degree and number of terms
Simplifying ![(x - \frac{1}{2})(6x + 2)](https://tex.z-dn.net/?f=%28x%20-%20%5Cfrac%7B1%7D%7B2%7D%29%286x%20%2B%202%29)
![x(6x + 2) - \frac{1}{2}(6x + 2)](https://tex.z-dn.net/?f=x%286x%20%2B%202%29%20-%20%5Cfrac%7B1%7D%7B2%7D%286x%20%2B%202%29)
Open bracket
![6x^2 + 2x - 3x - 1](https://tex.z-dn.net/?f=6x%5E2%20%2B%202x%20-%203x%20-%201)
![6x^2 -x - 1](https://tex.z-dn.net/?f=6x%5E2%20-x%20-%201)
By degree: Quadratic
By number of terms: Trinomial
Simplifying ![(7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)](https://tex.z-dn.net/?f=%287x%5E2%20%2B%203x%29%20-%5Cfrac%7B1%7D%7B3%7D%2821x%5E2%20-%2012%29)
Open bracket
![7x^2 + 3x -\frac{1}{3} * 21x^2 -\frac{1}{3}*- 12](https://tex.z-dn.net/?f=7x%5E2%20%2B%203x%20-%5Cfrac%7B1%7D%7B3%7D%20%2A%2021x%5E2%20-%5Cfrac%7B1%7D%7B3%7D%2A-%2012)
![7x^2 + 3x -7x^2 + 4](https://tex.z-dn.net/?f=7x%5E2%20%2B%203x%20-7x%5E2%20%2B%204)
Collect like terms
![7x^2-7x^2 + 3x + 4](https://tex.z-dn.net/?f=7x%5E2-7x%5E2%20%20%2B%203x%20%2B%204)
![3x + 4](https://tex.z-dn.net/?f=3x%20%2B%204)
By degree: Linear
By number of terms: Binomial
Simplifying ![4(5x^2-9x+7)+2(-10x^2+18x-13)](https://tex.z-dn.net/?f=4%285x%5E2-9x%2B7%29%2B2%28-10x%5E2%2B18x-13%29)
Open brackets
![4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13](https://tex.z-dn.net/?f=4%2A5x%5E2-4%2A9x%2B4%2A7%2B2%2A-10x%5E2%2B2%2A18x-2%2A13)
![20x^2-36x+28-20x^2+36x-26](https://tex.z-dn.net/?f=20x%5E2-36x%2B28-20x%5E2%2B36x-26)
Collect like terms
![20x^2-20x^2-36x+36x+28-26](https://tex.z-dn.net/?f=20x%5E2-20x%5E2-36x%2B36x%2B28-26)
![2](https://tex.z-dn.net/?f=2)
By degree: Constant
By number of terms: Monomial
Answer:
no solutions
Step-by-step explanation:
We can solve this system using elimination. In this case, we can eliminate x and y by subtracting the two equations:
0=15-12
0=3
This is not true, meaning the system does NOT have any solutions.
OR
The equation for a line is:
y=mx+b
m: slope
b: y-intercept
Here we can see the two lines have the same slope, meaning they are parallel. If they are parallel, they do not intersect which means there is no solution.
I think it is 4 because it’s how many times it crosses the x axis
(9,0) is the answer just imagine the area has moved 90°