The correct answer is 14.
Answer:
<h3>x = -2</h3>
Step-by-step explanation:
![3[-x + (2 x + 1)] = x -1\\\\\mathrm{Expand\:}3\left(-x+\left(2x+1\right)\right):\quad 3x+3\\3x+3=x-1\\](https://tex.z-dn.net/?f=3%5B-x%20%2B%20%282%20x%20%2B%201%29%5D%20%3D%20x%20-1%5C%5C%5C%5C%5Cmathrm%7BExpand%5C%3A%7D3%5Cleft%28-x%2B%5Cleft%282x%2B1%5Cright%29%5Cright%29%3A%5Cquad%203x%2B3%5C%5C3x%2B3%3Dx-1%5C%5C)
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Answer:
The War of 1812 changed the course of American history. Because America had managed to fight the world's greatest military power to a virtual standstill, it gained international respect. Furthermore, it instilled a greater sense of nationalism among its citizens.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Any point on a given parabola is equidistant from focus and directrix.
Given:
Focus of the parabola is at
.
Directrix of the parabola is
.
Let
be any point on the parabola. Then, from the definition of a parabola,
Distance of
from focus = Distance of
from directrix.
Therefore,

Squaring both sides, we get
![(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9](https://tex.z-dn.net/?f=%28x-2%29%5E%7B2%7D%2B%28y-8%29%5E%7B2%7D%3D%28y-10%29%5E%7B2%7D%5C%5C%28x-2%29%5E%7B2%7D%3D%28y-10%29%5E%7B2%7D-%28y-8%29%5E%7B2%7D%5C%5C%28x-2%29%5E%7B2%7D%3D%28y-10%2By-8%29%28y-10-%28y-8%29%29...............%5B%5Cbecause%20a%5E%7B2%7D-b%5E%7B2%7D%3D%28a%2Bb%29%28a-b%29%5D%5C%5C%28x-2%29%5E%7B2%7D%3D%282y-18%29%28y-10-y%2B8%29%5C%5C%28x-2%29%5E%7B2%7D%3D2%28y-9%29%28-2%29%5C%5C%28x-2%29%5E%7B2%7D%3D-4%28y-9%29%5C%5Cy-9%3D-%5Cfrac%7B1%7D%7B4%7D%28x-2%29%5E%7B2%7D%5C%5Cy%3D-%5Cfrac%7B1%7D%7B4%7D%28x-2%29%5E%7B2%7D%2B9)
Hence, the equation of the parabola is
.
Step-by-step explanation:
To solve this problem, let's set up our equation to solve for x (time to travel 13 miles).

We use this equation to find x. To solve, we divide 13 by 65 to get our answer.
13 ÷ 65 = 0.2
Our answer: 0.2 hours