Which polar coordinates represent the same point as the rectangular coordinates (-4,5)?

2nd option

Step-by-step explanation:

To convert from (x, y ) → (r, θ )

where

r =

θ = ( )

Here (x, y ) = (- 4, 5 ), a point in the 2nd quadrant

r = = =

θ = ( ) ≈ 51.3° ← related acute angle , then

θ = 180° - 51.3° = 128.7°

Thus

(- 4, 5 ) → (, 128.7° ) in polar form

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2