Answer:
Yes
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
That would be an isosceles triangle, therefore, acute. All angles measure 60, therefore being acute. I'm not 100% sure though.
15/8 is already an improper fraction, if you want a proper fraction the answer is 1 and 7/8
Solution:
The equation of a parabola is given as
![y=14x^2-3x+18](https://tex.z-dn.net/?f=%20y%3D14x%5E2-3x%2B18%20)
we have been asked to find the coordinates of the focus of the parabola?
The given equation can be re-written as
![y-18=14x^2-3x\\ \\ y-18=14(x^2-\frac{3}{14}x) \\ \\ y-18=14(x-\frac{3}{28})^2 -\frac{9}{56}\\ \\ y-18+\frac{9}{56}=14(x-\frac{3}{28})^2\\ \\ y-\frac{999}{56}= 14(x-\frac{3}{28})^2\\ \\ (x-\frac{3}{28})^2=\frac{1}{14}(y-\frac{999}{56})\\](https://tex.z-dn.net/?f=%20y-18%3D14x%5E2-3x%5C%5C%0A%5C%5C%0Ay-18%3D14%28x%5E2-%5Cfrac%7B3%7D%7B14%7Dx%29%20%5C%5C%0A%5C%5C%0Ay-18%3D14%28x-%5Cfrac%7B3%7D%7B28%7D%29%5E2%20-%5Cfrac%7B9%7D%7B56%7D%5C%5C%0A%5C%5C%0Ay-18%2B%5Cfrac%7B9%7D%7B56%7D%3D14%28x-%5Cfrac%7B3%7D%7B28%7D%29%5E2%5C%5C%0A%5C%5C%0Ay-%5Cfrac%7B999%7D%7B56%7D%3D%2014%28x-%5Cfrac%7B3%7D%7B28%7D%29%5E2%5C%5C%0A%5C%5C%0A%28x-%5Cfrac%7B3%7D%7B28%7D%29%5E2%3D%5Cfrac%7B1%7D%7B14%7D%28y-%5Cfrac%7B999%7D%7B56%7D%29%5C%5C%20)
As we know in standard form of
, the focus is (h, k + p)
So on comparision we get
![4p=\frac{1}{14}\\ \\ P=\frac{1}{56}\\](https://tex.z-dn.net/?f=%204p%3D%5Cfrac%7B1%7D%7B14%7D%5C%5C%0A%5C%5C%0AP%3D%5Cfrac%7B1%7D%7B56%7D%5C%5C%20)
![Focus=(\frac{3}{28},\frac{999}{56}+\frac{1}{56} )\\ \\ Focus=(\frac{3}{28}, \frac{125}{7})](https://tex.z-dn.net/?f=%20Focus%3D%28%5Cfrac%7B3%7D%7B28%7D%2C%5Cfrac%7B999%7D%7B56%7D%2B%5Cfrac%7B1%7D%7B56%7D%20%29%5C%5C%0A%5C%5C%0AFocus%3D%28%5Cfrac%7B3%7D%7B28%7D%2C%20%5Cfrac%7B125%7D%7B7%7D%29%20)