Coefficients, constant doesn't matter in period. only the "argument" or parameters or the angle matters.
if 
has a period $T$ then $cf(ax+b)+d$ will have period of $\frac Ta$ (nothing matters other than that), $T$ is the fundamental period.
$\sin(x)$ has fundamental period is $2\pi$ so period of $fx)$ will be $\pi$
Answer:
About 20%
Step-by-step explanation:
The probability of a point on the un-shaded region will be given by;
Area of the shaded region/total area
Considering that the circles are of the same size, then the length of the square is 2d
Area of the square = 4d²
Area of the shaded = (4d² -4π(d/2)²
= 4d² -πd², but π = 22/7
= 6/7d²
Probability = (6/7d² ÷ 4d²) × 100%
= (6/28 d²) × 100%
= 21.42 %
So your answer is B. 20%
Don't thank me this was easy.
Answer: 12.96 m²
Step-by-step explanation:
The area of the piece of land that the flower beds were dug in is:
= Length * width
= 5.2 * 4.8
= 24.96 m²
The flower beds were 3 in number and all had the shape of a square.
Their area is:
= 3 * (Length * width)
= 3 * ( 2 * 2)
= 3 * 4
= 12 m² for all three flower beds
Remaining land:
= 24.96 - 12
= 12.96 m²
Answer:
x = - 7, x = 1
Step-by-step explanation:
Given
x² + 6x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 7 + 9
(x + 3)² = 16 ( take the square root of both sides )
x + 3 = ± 
= ± 4 ( subtract 3 from both sides )
x = - 3 ± 4
x = - 3 - 4 = - 7
x = - 3 + 4 = 1
Solution set = { - 7, 1 }
Its 8:2/3, we can write it as
Now we can back to 12:1 - its the result
