Answer:
C
Step-by-step explanation:
When completing the square, we essentially want to create a perfect square trinomial by adding a constant.
If we have the following expression:

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.
Thus, the added term should be:

In the given equation, we have:

The b term here is 8. Therefore:

The value we would add would be 16.
The answer is C.
Further notes:
To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

The expression inside the parentheses is now a perfect square trinomial. Factor it:

And we are done!
Answer:
X = -10/6
X = -1,666666666666667
Step-by-step explanation:
First at all you join the X's
18x-12x = 14-24
Then you simplified:
6x = -10
X = -10/6
X = -1,666666666666667
Answer:
(x+3)²+(y-4)²=36.
Step-by-step explanation:
For this, we need to use the equation of a circle which is:
(x-h)²+(y-k)²= r²
Simply substitute the center values for 'h,k', and the radius for 'r'.
This will give you:
(x+3)²+(y-4)²=36.
Answer:
$5.5
Step-by-step explanation:
6 * N (notebook) + 3 * P (pen) = 27
n = 1.5 +P
6 * (1.5 + P) + 3 * P = 27
9 +6p +3p = 27
9p = 18
p (pen): $2
N (notebook): $3.5
combined cost of 1 pen and 1 notebook: $2 + $ 3.5 = $ 5.5
Answer:
B (-22 , 4)
Step-by-step explanation:
-16=(-10+x)/2
*2 *2
-10+x=-32
+10 +10
x=-22
6=(8+y)/2
*2 *2
12=8+y
-8 -8
4=y
so B(-22, 4)