Answer:
(x+y+z)=79
5x+2y+z=859
2x+3y+9z=498
Step-by-step explanation:
Its writing 3 different equations that have the same value for the same variable.
4x+26
Step-by-step explanation:
to buy fencing, you need to find the perimeter of the pen. The perimeter is found by adding all sides together.
So, 13+13+2x+2x=4x+26
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°)
Answer:
y-32=3(x-5)
Step-by-step explanation:
The swimming pool is being drained at a constant rate of 3 inches per hour, therefore:
- The rate of change, Slope, m=3 inches per hour
If the depth of the water after 5 hours is 32 inches.
The <u>depth is the dependent variable(as its values varies with time)</u> while the <u>time is the independent variable</u>, we can write this as a pair (x,y)=(5, 32).
The point slope form of the equation of a line is of the form: 
