Answer:
![18x^2 + 18x -8](https://tex.z-dn.net/?f=18x%5E2%20%2B%2018x%20-8)
Step-by-step explanation:
To use the least number of terms, simplify the expression. To simplify, distribute into the parenthesis and combine like terms.
![2(3x-1)(3x+4) = 2(9x^2-3x+12x-4) = 2(9x^2+9x-4) = 18x^2 + 18x -8](https://tex.z-dn.net/?f=2%283x-1%29%283x%2B4%29%20%3D%202%289x%5E2-3x%2B12x-4%29%20%3D%202%289x%5E2%2B9x-4%29%20%3D%2018x%5E2%20%2B%2018x%20-8)
Answer:
The answer is y=1/3x-1
Step-by-step explanation:
m=1/3
y-y=m(x-x1)
y-(-1)=1/3(x-0)
y+1=1/3x-0
-1 -1
y=1/3x-1
Answer:
310 kids/ 6 busses
310/6=51.6 so
52 or 51 kids on each bus.
ANSWER
![r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))](https://tex.z-dn.net/?f=r%20%3D%202%20%5Csqrt%7B29%7D%20%28%20%5Ccos%28292%20%5Cdegree%29%20%20%2B%20%5Csin%28292%20%5Cdegree%29%29%20)
EXPLANATION
The polar form of a complex number ,
![z = x + yi](https://tex.z-dn.net/?f=z%20%3D%20x%20%2B%20yi)
is given by:
![z = r( \cos( \theta) + i \sin( \theta) )](https://tex.z-dn.net/?f=z%20%3D%20r%28%20%5Ccos%28%20%5Ctheta%29%20%20%2B%20i%20%5Csin%28%20%5Ctheta%29%20%29)
where
![r = \sqrt{ {x}^{2} + {y}^{2} }](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%7B%20%7Bx%7D%5E%7B2%7D%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%7D%20)
The given complex number is:
![z = 4 - 10i](https://tex.z-dn.net/?f=z%20%3D%204%20-%2010i)
![r = \sqrt{ {4}^{2} + {( - 10)}^{2} }](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%7B%20%7B4%7D%5E%7B2%7D%20%20%2B%20%20%7B%28%20-%2010%29%7D%5E%7B2%7D%20%7D%20)
![r = \sqrt{16 + 100}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%7B16%20%20%2B%20100%7D%20)
![r = \sqrt{116} = 2 \sqrt{29}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%7B116%7D%20%20%3D%202%20%5Csqrt%7B29%7D%20)
And
![\theta= \tan^{ - 1}(\frac{ y}{x} )](https://tex.z-dn.net/?f=%5Ctheta%3D%20%20%5Ctan%5E%7B%20-%201%7D%28%5Cfrac%7B%20y%7D%7Bx%7D%20%29)
![\theta= \tan^{ - 1}(\frac{ - 10}{4} )](https://tex.z-dn.net/?f=%5Ctheta%3D%20%20%5Ctan%5E%7B%20-%201%7D%28%5Cfrac%7B%20%20-%2010%7D%7B4%7D%20%29)
![\theta= 292 \degree](https://tex.z-dn.net/?f=%5Ctheta%3D%20%20292%20%5Cdegree)
Hence the polar form is :
![r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))](https://tex.z-dn.net/?f=r%20%3D%202%20%5Csqrt%7B29%7D%20%28%20%5Ccos%28292%20%5Cdegree%29%20%20%2B%20%5Csin%28292%20%5Cdegree%29%29%20)
Answer:
2x3/5
Step-by-step explanation: