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°)
Answer:
x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049
Step-by-step explanation:
Greetings !
Given expression

write 5 as a sum



Use (a+b)³=a³+3a²b+b³ to expand the expression

Use (a+b)²=a²+2ab+b² to the second expression to expand it

Finally, simplify the expression gives

Hope it helps!
Answer: p < -8
Step-by-step explanation:
Answer:
nothing
Step-by-step explanation:
all of them seem to be right. if you need practice work on alternate interior angles, exterior angles
Well 5/6 x 3/4 is 15/24 so you’d do 24 dots across in 15 rows