Can you explain so i can understand how it was completed?

determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°. (1 point)

(3 square root of 2 , 315°), (-3 square root of 2 , 135°)

(3 square root of 2 , 225°), (-3 square root of 2 , 45°)

(3 square root of 2 , 45°), (-3 square root of 2 , 225°)

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

(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:

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: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.