Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

i got 10.28 but that rounds up to 10.3

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6