Do you want if it’s positive or negative? If yes then it’s a negative slope.
Answer:
Step-by-step explanation:
Given that,
The arc length is four times the radius
Let he radius be 'r'
Then, the arc length be 's'
The arc of a sector can be calculated using
s=θ/360 × 2πr
Then, given that s=4r
So, 4r = θ × 2πr / 360
Divide both side r
4 = θ × 2π/360
Then, make θ subject of formula
θ × 2π = 360 × 4
θ = 360 × 4 / 2π
θ = 720 / π
So, area of the sector can be determine using
A = θ / 360 × πr²
Since r = ¼s
Then,
A = (θ/360) × π × (¼s)²
A = (θ/360) × π × (s²/16)
A = θ × π × s² / 360 × 16
Since θ = 720 / π
A = (720/π) × π × s² / 360 × 16
A = 720 × π × s² / 360 × 16 × π
A = s² / 8
Then,
s² = 8A
Then,
s= √(8A)
s = 2 √2•A
Answer:
x = 12
Step-by-step explanation:
Given
2(x - 3) = 9 + 3(x - 9) ← distribute parenthesis on both sides
2x - 6 = 9 + 3x - 27, that is
2x - 6 = 3x - 18 ( subtract 3x from both sides )
- x - 6 = - 18 ( add 6 to both sides )
- x = - 12 ( multiply both sides by - 1 ), thus
x = 12
