Answer:
x^2 - 8xy + 3y^2 - 2
Step-by-step explanation:
(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2
- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2
- unknown = -x^2 + 8xy - 3y^2 + 2
Unknown = x^2 - 8xy + 3y^2 - 2
Check:
(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)
= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2
= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2
= x^2 + 2
Answer:
6x-24
Step-by-step explanation:
First, we must add x-12 to 2x. We will get 3x-12. Now, to get the perimeter, we must multiply that expression by 2. The answer is 6x-24.
Answer:
17 units
Step-by-step explanation:
Because the triangle is isosceles, 2 of its sides are congruent; namely, the two sides that are opposite of the 2 congruent angles are contruent.
Because of the reason stated above, we can see that AC is congruent to BC, meaning that:
x+9=2x-8
-x -x
9=x-8
+8 +8
17 = x
Notice that BC is equal to x, so 17 is our final answer.
Answer: a)
b) 
<u>Step-by-step explanation:</u>
a) In order to get an even number, you have the 3 different scenarios:
1) Even, Even, Even, Even 
2) Even, Even, Odd, Odd
3) Odd, Odd, Odd, Odd 
<em>Order doesn't matter</em>
Add them up to get your answer: 
b) If one die is a 2 and another is a 3 and the other two dice can be any number, then you have 1 possibility for a 2, 1 possibility for a 3, and 6 possibilities for each of the other two dice.

Given -
y > - x + 3
To Find -
The points which is NOT a solution to the inequality
Step-by-Step Explanation -
We will put the value of each in inequality and then see if it satisfies the given condition or not.
a. ( -2,6)
So, x = -2 and y = 6 in y > - x + 3
= 6 > - (-2) + 3
= 6 > 5 (Correct Solution)
b. (5,-1)
So, x = 5 and y = -1 in y > - x + 3
= -1 > -5 + 3
= -1 > -2 (Correct Solution)
c. (2,0)
So, x = 2 and y = 0 in y > - x + 3
= 0 > -2 + 3
= 0 > 1 (Incorrect Solution)
d. (0,3)
So, x = 0 and y = 3 in y > - x + 3
= 3 > -0 + 3
= 3 > 3 (Incorrect Solution)
Final Answer -
The points which is NOT a solution to the inequality =
c. (2,0)
d. (0,3)