Answer:
Step-by-step explanation:
Distance of (-3,4) to origin = √((-3)^2+4^2) = 5
sinθ = 4/5
cosθ = -3/5
tanθ = 4/(-3) = -4/3
cscθ = 1/sinθ = 5/4
secθ = 1/cosθ = -5/3
cotθ = 1/tanθ = -3/4
Answer:
See below.
Step-by-step explanation:
Recall the equation for a circle:
, where (h,k) is the center and r is the radius.
We need to turn the given equation into the above format. We do this by completing the square.
First, group them:
For the first section, complete the square for 
:
Do the same for the second:
All together:
The center is (-9,-7).
The radius is 
Answer:
d
Step-by-step explanation:
x/7 <2
Multiply both sides if the inequality by 7
x/7×7 < 2×7
Then cancel out the 7s from x/7×7 to get x by itself
now
x < 14
Answer:
0.7941 miles
Step-by-step explanation:
I would think of this situation as a giant ruler.
The 18 trash cans can be thought of as endpoints on intervals in this giant ruler.
1--------2 --------3 --------4-----------5
If you notice the numbers that I wrote, there are five of them, but there are 4 intervals.
So we need to minus one from 18 to get 17 equal length intervals so that the trash cans are equally spaced.
Interval length = 13.5 miles / 17 intervals = 0.7941 miles
