Expanding, you get 5*2f-5*6g. You then get 10f-30g
Answer:
The equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Step-by-step explanation:
The expression |x| < a is equivalent to -a < x < a and the expression |x| > a is equivalent to {x : x < -a} ∪ {x : x > a}.
This means, the set of all points that satisfy the inequality |x| < a is the set of all points between -a and a exclusive of -a and a.
The set of all points that satisfy the inequality |x| > a is the set of all points that are less than -a and the set of all points that are greater than a.
Hence, the equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
It is point slope
y-y1 = m(x-x1)
y1 = 2, m = -1, x1 = -3
Make it into slope intercept
Y = -1x + b
2 = 3 + b, b = -1
Y = -1x - 1
Find three points
(-3, 2), (-1, 0), (0, -1)
Now plot these points and draw a line through them
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: 
Step-by-step explanation:
To find the inverse of a function replace f(x) with x and the original x with y
Now we can solve for y
Square both sides so we can cancel out the root
Now subtract 7 from both sides
Now replace y with the inverse of f(x), 
