1. Which of the following is the slope-intercept form of 6x + 2y = 28?
2 answers:
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Answer:
(2, 120° )
Step-by-step explanation:
To convert from rectangular to polar form, that is
(x, y) → (r, Θ ), use
r =
Θ = (
)
here (x, y ) = (- 1, )
r = )^2
= =
= 2
Θ = (
) = 60° ← related acute angle
Note (- 1, ) is in the second quadrant so Θ must be in the second quadrant.
Θ = 180° - 60° = 120°
(- 1, ) → (2, 120°)
Let one factor be x. Second factor is 11 less than half of this factor, so second factor will be (0.5x - 11). The product of these two factors is -36.
So,
If,
x = 4, the other factor will be = 0.5(4) - 11 = - 9
If,
x = 18, the other factor will be = 0.5(18) - 11 = -2
So, there are two possible set of factors.
1) 4 and -9
2) -2 and 18
From these -2 and 18 is available in the options. So this is the correct answer.
So,
If,
x = 4, the other factor will be = 0.5(4) - 11 = - 9
If,
x = 18, the other factor will be = 0.5(18) - 11 = -2
So, there are two possible set of factors.
1) 4 and -9
2) -2 and 18
From these -2 and 18 is available in the options. So this is the correct answer.