Answer:
x = 41
Step-by-step explanation:
We know these angles will be equal to each other (they are across from each other, I honestly forget the term ) so we can set up an equation
Our equation from given: 104 = 3x - 19
Adding 19 to both sides 123 = 3x
Dividing both sides by 3: 41 = x
Answer: x = 41
Hello :
<span>3-x/2=6
</span><span>-x/2=6 -3
</span>-x/2=3
- x = 6
x = - 6
=1001.5
Go .5 below and .5 above this answer to get your consecutive integers.
Therefore the answer is 1001 and 1002.
9514 1404 393
Answer:
2√30 ∠-120°
Step-by-step explanation:
The modulus is ...
√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30
The argument is ...
arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle
The polar form of the number can be written as ...
(2√30)∠-120°
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<em>Additional comments</em>
Any of a number of other formats can be used, including ...
(2√30)cis(-120°)
(2√30; -120°)
(2√30; -2π/3)
2√30·e^(i4π/3)
Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).
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At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)
