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:
Step-by-step explanation:
Sum a with a-s ;b with b-s so:
0.75a + 10b + a – 2b=0.75a+a+10b-2b=1.75a+8b
Answer:
Answers are square root of 2, square root of 7,
Step-by-step explanation:
Irational is a number that is never ending.
Square root of 2 is irrational since there is no pattern to the number after the decimal.
10/ sqrt of 100. Sqrt of 100 is 10. 10/10 = 1 so this is not a irrational.
Sqrt of 7 does not have a pattern after the decimal point so it is irrational.
5.87 with a dash on top is rational since it means it has a pattern of continues 87's.
Last one it is equal to 2 so it is rattional.
7/4 is the slope for this question
