Answer:
B and F
Step-by-step explanation:
Given
x² + 4x + 4 = 12 ( subtract 4 from both sides )
x² + 4x = 8
Using the method of completing the square to solve for x
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 8 + 4, that is
(x + 2)² = 12 ( take the square root of both sides )
x + 2 = ±
( subtract 2 from both sides )
x = ±
- 2
= ± 2
- 2
Hence
x = 2
- 2 → B
x = - 2
- 2 → F
Answer:
Option b.
y = 4 sin (3x)
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The period is
T = 2π/3
This means the frequency in radians is
W = 2π/T = 3
The equation is either:
y = 4 cos(3x)
y = 4 sin (3x)
The correct answer is
Option b.
y = 4 sin (3x)
This shape is trapezoid
top of the trapezoid is 10 (12-2)
and the bottom is 4 (6-2)
the height in 3 (3-0)
so the area will be

the area is 21