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.)
Answer:
Rotation of 90° (CounterClockwise) (x, y) (-y, x)
Rotation of 180° (Both Clockwise and Counterclockwise) (x, y) (-x, -y)
Rotation of 270° (Clockwise) (x, y) (-y, x)
Rotation of 270° (CounterClockwise)
Step-by-step explanation:
6+8+4+2=20
2/20 to grab mango can = 1/10
8/19 (remove one for previous) fro grape juice
6/18 for apple juice = 1/3
1/10*8/19*1/3
=
8/570
=
4/285
Answer:
5
Step-by-step explanation:
5rrrrrrrrrrrrrffrrffjfhrhrhrhffhffh
Answer:
<h2>(f/g)(x) = 3</h2>
Step-by-step explanation:
f(x) = 9x + 3
g(x) = 3x + 1
To find (f/g)(x) divide f(x) by g(x)
That's
Factorize f(x)
f(x) = 9x + 3 = 3(3x + 1)
So we have
Simplify
We have the final answer as
<h3>(f/g)(x) = 3</h3>
Hope this helps you