Answer: 5
Step-by-step explanation: baddabing baddaboom
Answer:
-50x + 600 = 250
Step-by-step explanation:
10x + 60(10-x) = 250
10x + 600 - 60x = 250
-50x + 600 = 250
Answer:
n greater than 4
Step-by-step explanation:
7(n/4)>7
n/4 > 7/7
n/4 > 1
n > 1(4)
n > 4
Answer: x = 7
Step-by-step explanation:
2x - 6 = 8x - 48
+48
2x + 42 = 8x
-2x
42 = 6x
/6
7 = x
Answer:
The trigonometric form of the complex number is 12(cos 120° + i sin 120°)
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = -6 + i 6√3
∴ a = -6 and b = 6√3
∵ r² = a² + b²
∴ r² = (-6)² + (6√3)² = 36 + 108 = 144
∴ r = √144 = 12
∵ tan Ф° = b/a
∴ tan Ф = 6√3/-6 = -√3
∵ The x-coordinate of the point is negative
∵ The y-coordinate of the point is positive
∴ The point lies on the 2nd quadrant
* The measure of the angle in the 2nd quadrant is 180 - α, where
α is an acute angle
∵ tan α = √3
∴ α = tan^-1 √3 = 60°
∴ Ф = 180° - 60° = 120°
∴ z = 12(cos 120° + i sin 120°)
* The trigonometric form of the complex number is
12(cos 120° + i sin 120°)
