Answer:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Step-by-step explanation:
Hello!
We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.
We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:
- The radial coordinate which is often denoted by r.
- The angular coordinate by θ.
So we need to find r and θ. So we know that:
(1)
x = rcos(θ) (2)
x = rsin(θ) (3)
From the statement we know that (x, y) = (3, -3).
Using the equation (1) we find that:

Using the equations (2) and (3) we find that:
3 = rcos(θ)
-3 = rsin(θ)
Solving the system of equations:
θ= -45
Then:
r = 3\sqrt{2}[/tex]
θ= -45 or 315
Notice that there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.
So, the solution is:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
I believe it is the last answer choice
Answer:
I'll answer the first one. Neither vehicles are crossing the speed limit since both are under 40mph.
Step-by-step explanation:
6 miles every 10 minutes = 36 miles every hour.
15 miles every 25 minutes = 36 miles every hour.
Speed limit = 40 mph
Neither vehicles are crossing the speed limit since both are under 40mph.
Hope this helped! :))
Answer:
106.33
Step-by-step explanation:
after decimal you have .3 tenths 2 hundredths 7 thousandths
to round to the nearest hundredths look at thousandths 7 becasuse is greater then 5 then you round up
106.327 is rounded to 106.33
Answer:
x+10 x ≠ 60
Step-by-step explanation:
(x^2−50x−600)
----------------------
(x−60)
Factor the numerator
(x-60)(x+10)
-------------------
(x-60)
Cancel the like terms
x+10