1. (-5,-12)
2. (3,-4)
To identify the constant H and K
- You need to write the given equation in vertex form
- Use complete the square method to write in vertex form
- The vertex form is

- after writing the equation in the world storm you can see that there is a h and a k
- Pull the h and the k in into (h,k)
I can't do all of it so I'll do 2 for you and with explanations.
Answer:
Step-by-step explanation:
a+b=36
lets name the 2 numbers a,b
b=a+18
a+a+18=36
2a=36-18
2a=18
a=9
b=27
Answer:
D) 8x²-172x+120
Step-by-step explanation:
Length=2(-2x+20)+6
Width=-2x+20
(-4x+40+6)(-2x+20)
(-4x+46)(-2x+20)
8x²-80x-92x+920
8x²-172x+920
Answer:
- The two solutions are:

- The next and every step are below.
Explanation:
1.
: Given (addition property / add - 3 to both sides)
2.
: Given (commom factor - 2)
3. 
To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.
Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.
4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

5. Divide both sides by - 2 to get the next expression:

6. The last step is to extract squere root from both sides of the equality:

Answer:
5 and 4
Step-by-step explanation:
So if, x equals 2 then all you do is turn the x into a 2.
So you rewrite the equation into,
2 + 3 and 2 x 2,
Which would be 5 and 4
Hope this helps!