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:
the triangle is right
Step-by-step explanation:
The Pythagorean theorem dictates that a^2 +b^2=c^2
6^2+8^2=10^2
36+64=100
100=100
Answer:
y=-3x
Step-by-step explanation:
Slope intercept form is written as y=mx+b, where:
m= slope
b= y-intercept
We know the slope and y intercept already, so simply plug them in:
y=-3x+0
We can remove the +0 because it is redundant, therefore the final answer is:
y=-3x
Answer:
2894939837748493866274849956996964994773627228010487475831
Step-by-step explanation:
u add two to that long a*s number
