Answer:
<u>Answer</u><u>:</u><u> </u><u>A</u><u>.</u><u> </u><u>(</u><u>6</u><u>,</u><u> </u><u>4</u><u>)</u>
Equation of the line:
![y - 4 = - 2(x - 6) \\ y - 4 = - 2x + 12 \\ { \underline{y = - 2x + 16}}](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%20-%202%28x%20-%206%29%20%5C%5C%20y%20-%204%20%3D%20%20-%202x%20%2B%2012%20%5C%5C%20%7B%20%5Cunderline%7By%20%3D%20%20-%202x%20%2B%2016%7D%7D)
when x is 6:
![y = - 2(6) + 16 \\ y = - 12 + 16 \\ y = 4](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%286%29%20%2B%2016%20%5C%5C%20y%20%3D%20%20-%2012%20%2B%2016%20%5C%5C%20y%20%3D%204)
Answer:
![\large\boxed{x=-2\pm2i}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D-2%5Cpm2i%7D)
Step-by-step explanation:
![x^2+4x+8=0\qquad\text{subtract 8 from both sides}\\\\x^2+4x+8-8=0-8\\\\x^2+2(x)(2)=-8\qquad\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2(x)(2)+2^2=-8+2^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=-8+4\\\\(x+2)^2=-4\iff x+2=\pm\sqrt{-4}\\\\x+2=\pm\sqrt{(4)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x+2=\pm\sqrt4\cdot\sqrt{-1}\qquad\text{use}\ \sqrt{-1}=i\\\\x+2=\pm2\cdot i\qquad\text{subtract 2 from both sides}\\\\x=-2\pm2i](https://tex.z-dn.net/?f=x%5E2%2B4x%2B8%3D0%5Cqquad%5Ctext%7Bsubtract%208%20from%20both%20sides%7D%5C%5C%5C%5Cx%5E2%2B4x%2B8-8%3D0-8%5C%5C%5C%5Cx%5E2%2B2%28x%29%282%29%3D-8%5Cqquad%5Ctext%7Badd%7D%5C%202%5E2%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5Cx%5E2%2B2%28x%29%282%29%2B2%5E2%3D-8%2B2%5E2%5Cqquad%5Ctext%7Buse%7D%5C%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%5C%5C%28x%2B2%29%5E2%3D-8%2B4%5C%5C%5C%5C%28x%2B2%29%5E2%3D-4%5Ciff%20x%2B2%3D%5Cpm%5Csqrt%7B-4%7D%5C%5C%5C%5Cx%2B2%3D%5Cpm%5Csqrt%7B%284%29%28-1%29%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Ccdot%5Csqrt%7Bb%7D%5C%5C%5C%5Cx%2B2%3D%5Cpm%5Csqrt4%5Ccdot%5Csqrt%7B-1%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%7B-1%7D%3Di%5C%5C%5C%5Cx%2B2%3D%5Cpm2%5Ccdot%20i%5Cqquad%5Ctext%7Bsubtract%202%20from%20both%20sides%7D%5C%5C%5C%5Cx%3D-2%5Cpm2i)
So he is over budget by $90 and he needs to allocate his bills to allow for it
Answer:
hi how are iwant points bye
Step-by-step explanation:
Answer:
Your answer is 2.4
Step-by-step explanation: