The values of ||-10v|| is 51.96 units
- Complex numbers are square roots of negative numbers. They are expressions that consist of both the real and imaginary axis.
- The general form of a complex number is expressed as z = x + iy
Given the complex number v = 6i + 3j,
10v is expressed as 10(6i + 3j)
10(6i + 3j) = 60i + 30j
Take the modulus of the complex number:
![|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units](https://tex.z-dn.net/?f=%7C10v%7C%3D%5Csqrt%7B60%5E2%2B30%5E2%7D%5C%5C%7C10v%7C%3D%20%5Csqrt%7B1800%2B900%7D%5C%5C%7C10v%7C%3D%20%5Csqrt%7B2700%7D%20%5C%5C%7C10v%7C%3D51.96units)
Hence the values of ||-10v|| is 51.96 units
Learn more on the complex numbers here: brainly.com/question/10662770
Supplimentary angles add upto 180 degrees.
Given that angle P is three times angle Q-4 then ;
Let angle P be 3(x-4) = 3x -12
Let angle Q be x
Applying the rule of supplimentary angles;
![3x-12+x=180](https://tex.z-dn.net/?f=3x-12%2Bx%3D180)
![4x-12=180](https://tex.z-dn.net/?f=4x-12%3D180)
![4x=180+12](https://tex.z-dn.net/?f=4x%3D180%2B12)
![4x=192](https://tex.z-dn.net/?f=4x%3D192)
Divide both sides by 4 to get value of x in degrees
![x=\frac{192}{4}=48](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B192%7D%7B4%7D%3D48)
x= 48 degrees
Angle Q = 48 degrees
Angle P = 3x-12 = (3*48)-12 = 132 degrees
Answer:
Part a, intersecting. Part B is one solution
and its 2 beachuse y=3x-5
and y=-x+7
brainlsit plz
The answer is to the qieston would be B
Make it: y = mx + b form
b = y intercept
3y = -8x - 24
Divide by 3
y = -8/3x - 8
Answer: y intercept is -8