Answer:
A
Step-by-step explanation:
Given
x² + 6x + 4 = 0 ( subtract 4 from both sides )
x² + 6x = - 4
Solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = - 4 + 9, that is
(x + 3)² = 5 ( take the square root of both sides )
x + 3 = ±
( subtract 3 from both sides )
x = - 3 ±
, thus
x = - 3 -
→ A
x = - 3 + 
Answer:
(x-4)²/16 + (y-8)²/25 = 1
Step-by-step explanation:
center (h,k): ((4+4)/2 , (3+13)/2) = (4 , 8)
a = 13-8 = 5 c = 8-5 = 3
b = √5²-3² = 4
Equation: (x-h)²/b² + (y-k)²/a² = 1
(x-4)²/16 + (y-8)²/25 = 1
Answer:
Are these the option or what what this suppose to be ??????
Answer:
(7,2)
45 units squared
Step-by-step explanation:
In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).
AB=DC=5
-3+5=2
BC=AD=9
-2+9=7
Therefore D is (7,2)
We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45
3 quartz of water...............