Answer:
![y - 2x - 1 = 0](https://tex.z-dn.net/?f=y%20-%202x%20-%201%20%3D%200)
Step-by-step explanation:
the slope is :
![\tan( \alpha ) = 4 \div 2 = 2](https://tex.z-dn.net/?f=%20%5Ctan%28%20%5Calpha%20%29%20%20%3D%204%20%20%5Cdiv%202%20%3D%202)
at a pt on graph , when
![x = 1 \\ y = 3 \\](https://tex.z-dn.net/?f=x%20%3D%201%20%5C%5C%20y%20%3D%203%20%5C%5C%20)
therefore, coordinates are (1,3)
The equation is :
![(y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\ y - 3 = 2x - 2 \\ y - 2x - 1 = 0](https://tex.z-dn.net/?f=%28y%20-%203%29%20%3D%20slope%20%5Ctimes%20%28x%20-%201%29%20%5C%5C%20%28y%20-%203%29%20%3D%202%20%5Ctimes%20%28x%20-%201%29%20%5C%5C%20%20y%20-%203%20%3D%202x%20-%202%20%5C%5C%20y%20-%202x%20-%201%20%3D%200)
Answer:
![(f\cdot g)(x)=2x^2+10x+12](https://tex.z-dn.net/?f=%28f%5Ccdot%20g%29%28x%29%3D2x%5E2%2B10x%2B12)
![(f-g)(x)=-x-1](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3D-x-1)
![(f+g)(1)=10](https://tex.z-dn.net/?f=%28f%2Bg%29%281%29%3D10)
Step-by-step explanation:
![\tt f(x)=x+3](https://tex.z-dn.net/?f=%5Ctt%20f%28x%29%3Dx%2B3)
![\tt g(x)=2x+4](https://tex.z-dn.net/?f=%5Ctt%20g%28x%29%3D2x%2B4)
![(f\cdot g)(x)=f(x)\cdot g(x)=(x+3)(2x+4)=2x^2+4x+6x+12](https://tex.z-dn.net/?f=%28f%5Ccdot%20g%29%28x%29%3Df%28x%29%5Ccdot%20g%28x%29%3D%28x%2B3%29%282x%2B4%29%3D2x%5E2%2B4x%2B6x%2B12)
![=2x^2+10x+12](https://tex.z-dn.net/?f=%3D2x%5E2%2B10x%2B12)
![(f-g)(x)=f(x)-g(x)=x+3-(2x+4)=x+3-2x-4](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29%3Dx%2B3-%282x%2B4%29%3Dx%2B3-2x-4)
![=-x-1](https://tex.z-dn.net/?f=%3D-x-1)
![(f+g)(1)=f(1)+g(1)=1+3+2(1)+4](https://tex.z-dn.net/?f=%28f%2Bg%29%281%29%3Df%281%29%2Bg%281%29%3D1%2B3%2B2%281%29%2B4)
![=4+2+4=10](https://tex.z-dn.net/?f=%3D4%2B2%2B4%3D10)
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Answer:
14
Step-by-step explanation:
So there is a real and imaginary axis
the midopint is just the average of them
average between the reals is (5-3)/2=2/2=1
average between imaginaries is (18i+2i)/2=20i/2=10i
center is 1+10i
Yes it is a geometric sequence and the common ratio is 2/3