3,276 miles in 6 hours. Hope I helped!
Answer:
155
Step-by-step explanation:
first add 72 and 83 = 155. Then use 180-155=25. then subtract 25 from 180.
Answer:
3, -1/7
Step-by-step explanation:
Use the quadratic formula to solve this problem. First make all terms equal to 0, so subtract 3 from both sides of the equation.
7x^2 - 20x - 3 = 0
Substitute the a, b, and c values into the quadratic formula:
. In this equation:
![\frac{-(-20)\pm\sqrt{(-20)^2-4(7)(-3)} }{2(7)}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-20%29%5Cpm%5Csqrt%7B%28-20%29%5E2-4%287%29%28-3%29%7D%20%7D%7B2%287%29%7D)
Simplify this expression until you get to where you have to split the expression off into a positive and negative case.
![\frac{20\pm\sqrt{400-4(-21)} }{14}\rightarrow \frac{20\pm\sqrt{400+84} }{14}\rightarrow \frac{20\pm\sqrt{484} }{14}](https://tex.z-dn.net/?f=%5Cfrac%7B20%5Cpm%5Csqrt%7B400-4%28-21%29%7D%20%7D%7B14%7D%5Crightarrow%20%5Cfrac%7B20%5Cpm%5Csqrt%7B400%2B84%7D%20%7D%7B14%7D%5Crightarrow%20%5Cfrac%7B20%5Cpm%5Csqrt%7B484%7D%20%7D%7B14%7D)
Now split this into + and -:
![\frac{20\pm\sqrt{484} }{14} ~~becomes~~\frac{20+\sqrt{484} }{14} ~~or~~\frac{20-\sqrt{484} }{14}](https://tex.z-dn.net/?f=%5Cfrac%7B20%5Cpm%5Csqrt%7B484%7D%20%7D%7B14%7D%20~~becomes~~%5Cfrac%7B20%2B%5Csqrt%7B484%7D%20%7D%7B14%7D%20~~or~~%5Cfrac%7B20-%5Csqrt%7B484%7D%20%7D%7B14%7D)
Solve the positive case first.
![\frac{20+\sqrt{484} }{14} \rightarrow \frac{20+22}{14} \rightarrow\frac{42}{14} =\boxed{3}](https://tex.z-dn.net/?f=%5Cfrac%7B20%2B%5Csqrt%7B484%7D%20%7D%7B14%7D%20%5Crightarrow%20%5Cfrac%7B20%2B22%7D%7B14%7D%20%5Crightarrow%5Cfrac%7B42%7D%7B14%7D%20%3D%5Cboxed%7B3%7D)
Solve the negative case next.
![\frac{20-\sqrt{484} }{14} \rightarrow\frac{20-22}{14} \rightarrow\frac{-2}{14} = \boxed{-\frac{1}{7} }](https://tex.z-dn.net/?f=%5Cfrac%7B20-%5Csqrt%7B484%7D%20%7D%7B14%7D%20%5Crightarrow%5Cfrac%7B20-22%7D%7B14%7D%20%5Crightarrow%5Cfrac%7B-2%7D%7B14%7D%20%3D%20%5Cboxed%7B-%5Cfrac%7B1%7D%7B7%7D%20%7D)
These are the two solutions to the quadratic equation.
20 * 4 = 80 = perimeter of the square 24*2 = 48, the length of two sides of the rectangle. Deducting from 80 we are left with 32 and dividing by 2 we know the rectangle is 24 x 16 Area = L * W, so you can calculate the area of the rectangle.
384