Answer:
A) Θ = 2A/r²
Step-by-step explanation:
A = Θr²/2
(Multiple both sides by 2)
2A = Θr²
(Divide both sides by r²)
2A/r² = Θ
Answer:
(-1,-6)
Step-by-step explanation:
(Replaced x in f with (x-2))
(Used 
and distributive property)
(Gathered like terms)
(Simplified)
The vertex of a parabola occurs at 
.
Let's find 
first.
Now we can obtain 
which is 
in this case:
.
The vertex is (-1,-6).
Answer:
30
Step-by-step explanation:
let EFH = x
Let GFH = y
x + y = 90
x = 2y
Substitute: 2y + y = 90
3y = 90
y = 30
16.2 miles.
Since she paid a $5 tip, the cost for her fare was $23.50. Let x be the number of 0.2-mile increments in the trip:
23.50 = 2.50 + 1 + 0.25(x-1)
This equation comes from the 2.50 home pick-up fee; $1 for the first 0.2-mile increment; and 0.25 for each other 0.2-mile increment.
Using the distributive property, we have:
23.50 = 2.50 + 1 + 0.25*x - 0.25*1
23.50 = 2.50 + 1 + 0.25x - 0.25
Combining like terms,
23.50 = 0.25x + 2.75
Subtracting 2.75 from both sides, we have:
23.50 - 2.75 = 0.25x + 2.75 - 2.75
20.25 = 0.25x
Dividing both sides by 0.25, we have:
20.25/0.25 = 0.25x/0.25
81 = x
This means there are 81 0.2-mile increments in her trip. 81(0.2) = 16.2 miles
