Answer:
R
Step-by-step explanation:
go right 9 times and go up 5 times
Answer:
S (1 , 0)
T (7 , 1)
Step-by-step explanation:
If QRST is a parallelogram, P is the mid point of segment QS and segment RT.
Basic formula for mid-point of segment: ((x1+x2)/2 , (y1+y2)/2)
T (x₁ , y₁) S (x₂ , y₂) P (2 , 3) Q (3 , 6) R (-3 , 5)
2 = (x₁ + (-3))/2 x₁ = 7
3 = (y₁ + 5)/2 y₁ = 1
T (7 , 1)
2 = (x₂ + 3))/2 x₂ = 1
3 = (y₂ + 6)/2 y₂ = 0
S (1 , 0)
Answer:
(ab+a-b+1)(ab-a+b+1)
Step-by-step explanation:
- (1 - a²) (1 - b²) + 4ab=
- 1 -a²-b² +a²b² +4ab =
- (a²b² +2ab +1 )- (a²-2ab+b²)=
- (ab+1)² - (a-b)²=
- (ab+1 +a-b)(ab+1 -a+b)=
- (ab+a-b+1)(ab-a+b+1)
Answer:
(8)
and ![2x - y = -10](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%20-10)
(9)
and ![4x + y = -30](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%20-30)
(10)
and ![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
Step-by-step explanation:
Given [Missing from the question]
![(8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)](https://tex.z-dn.net/?f=%288%29.%5C%20%28-6%2C-2%29%5C%20%5C%5C%20%289%29.%5C%20%28-12%2C18%29%5C%20%5C%5C%20%2810%29.%5C%20%282%2C0%29)
Required
Write a system of linear equations
The solutions to this question is open and have different solutions
Solving (8) (-6,-2)
Let the equations be: x + y and 2x - y
![x + y = -6 - 2](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%20-6%20-%202)
--- (1)
![2x - y = 2 * (-6) - (-2)](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%202%20%2A%20%28-6%29%20-%20%28-2%29)
-- (2)
So, the equations are:
and ![2x - y = -10](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%20-10)
Solving (9) (-12, 18)
Let the equations be: 3x - y and 4x + y
![3x - y = 3 *(-12) - 18](https://tex.z-dn.net/?f=3x%20-%20y%20%3D%203%20%2A%28-12%29%20-%2018)
![3x - y = -54](https://tex.z-dn.net/?f=3x%20-%20y%20%3D%20-54)
![4x + y = 4 * (-12) + 18](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%204%20%2A%20%28-12%29%20%2B%2018)
![4x + y = -30](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%20-30)
So, the equations are:
and ![4x + y = -30](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%20-30)
Solving (9): (2,0)
Let the equations be: x + y and x - y
![x + y = 2 + 0](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%202%20%2B%200)
![x + y = 2](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%202)
![x - y = 2 - 0](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202%20-%200)
![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
So, the equations are:
and ![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
Okay, this is a written proof so what you have to do is list the steps. I am going to try my best to solve this problem...