30 miles/ 1 gallon
30 miles per gallon
30/1
I believe it will be 36 Im sorry if im wrong.
Let, coordinate of point A' is (x,y).
Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.
So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.
Now, their center is given by :
![C( \dfrac{x+3}{2}, \dfrac{y+2}{2})](https://tex.z-dn.net/?f=C%28%20%5Cdfrac%7Bx%2B3%7D%7B2%7D%2C%20%5Cdfrac%7By%2B2%7D%7B2%7D%29)
Also, product of slope will be -1 .( Since, they are parallel )
![\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1](https://tex.z-dn.net/?f=%5Cdfrac%7By-2%7D%7Bx-3%7D%20%5Ctimes%20-2%20%20%3D%20-1%5C%5C%5C%5C2y%20-%204%20%3D%20x%20-%203%5C%5C%5C%5C2y%20-%20x%20%3D%201)
x = 2y - 1
So, ![C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})](https://tex.z-dn.net/?f=C%28%20%5Cdfrac%7B2y%20-1%20%2B3%7D%7B2%7D%2C%20%5Cdfrac%7By%2B2%7D%7B2%7D%29%5C%5C%5C%5CC%28%20%5Cdfrac%7B2y%20%2B%202%7D%7B2%7D%2C%20%5Cdfrac%7By%2B2%7D%7B2%7D%29)
Also, C satisfy given line :
![2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}](https://tex.z-dn.net/?f=2%5Ctimes%20%28%20%5Cdfrac%7B2y%20%2B%202%7D%7B2%7D%29%20%20%2B%20%5Cdfrac%7By%2B2%7D%7B2%7D%20%3D%2012%5C%5C%5C%5C4y%20%2B%204%20%2B%20y%20%2B%202%20%3D%2024%5C%5C%5C%5C5y%20%3D%2018%5C%5C%5C%5Cy%20%3D%20%5Cdfrac%7B18%7D%7B5%7D)
Also,
![x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}](https://tex.z-dn.net/?f=x%20%3D%202%5Ctimes%20%5Cdfrac%7B18%7D%7B5%20%7D%20-%201%5C%5C%5C%5Cx%20%3D%20%5Cdfrac%7B31%7D%7B5%7D)
Therefore, the symmetric points is
.
Answer:
the equivalent ratios of 6 and 5 is D.
Answer:
45
Step-by-step explanation:
When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.