Answer:
Fun fact
An apple, potato, and onion all taste the same if you eat them with your nose plugged
Step-by-step explanation:
Multiply 35 by your chosen denominator. Example, 35 can be expressed as 70/2 or 105/3
Answer:
The value of a = 14
Step-by-step explanation:
Given
(x₁, y₁) = (2, 4)
(x₂, y₂) = (6, a)
(x₃, y₃) = (-1, 1)
A = 9 sq.units
Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:
![A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Cleft%7Cx_1%5Cleft%28y_2-y_3%5Cright%29%2Bx_2%5Cleft%28y_3-y_1%5Cright%29%2Bx_3%5Cleft%28y_1-y_2%5Cright%29%5Cright%7C%7D%7B2%7D)
substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula
![A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Cleft%7Cx_1%5Cleft%28y_2-y_3%5Cright%29%2Bx_2%5Cleft%28y_3-y_1%5Cright%29%2Bx_3%5Cleft%28y_1-y_2%5Cright%29%5Cright%7C%7D%7B2%7D)
![9=\frac{\left|2\left(a-1\right)+6\left(1-4\right)+-1\left(4-a\right)\right|}{2}](https://tex.z-dn.net/?f=9%3D%5Cfrac%7B%5Cleft%7C2%5Cleft%28a-1%5Cright%29%2B6%5Cleft%281-4%5Cright%29%2B-1%5Cleft%284-a%5Cright%29%5Cright%7C%7D%7B2%7D)
Multiply both sides by 2
![\frac{2\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|}{2}=9\cdot \:2](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cleft%7C2%5Cleft%28a-1%5Cright%29%2B6%5Cleft%281-4%5Cright%29-1%5Cleft%284-a%5Cright%29%5Cright%7C%7D%7B2%7D%3D9%5Ccdot%20%5C%3A2)
simplify
![\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|=18](https://tex.z-dn.net/?f=%5Cleft%7C2%5Cleft%28a-1%5Cright%29%2B6%5Cleft%281-4%5Cright%29-1%5Cleft%284-a%5Cright%29%5Cright%7C%3D18)
As the area is always positive.
so
![2\left(a-1\right)+6\left(1-4\right)-1\cdot \left(4-a\right)=18](https://tex.z-dn.net/?f=2%5Cleft%28a-1%5Cright%29%2B6%5Cleft%281-4%5Cright%29-1%5Ccdot%20%5Cleft%284-a%5Cright%29%3D18)
![2\left(a-1\right)-18-\left(4-a\right)=18](https://tex.z-dn.net/?f=2%5Cleft%28a-1%5Cright%29-18-%5Cleft%284-a%5Cright%29%3D18)
Add 18 to both sides
![2\left(a-1\right)-18-\left(4-a\right)+18=18+18](https://tex.z-dn.net/?f=2%5Cleft%28a-1%5Cright%29-18-%5Cleft%284-a%5Cright%29%2B18%3D18%2B18)
simplify
![2\left(a-1\right)-\left(4-a\right)=36](https://tex.z-dn.net/?f=2%5Cleft%28a-1%5Cright%29-%5Cleft%284-a%5Cright%29%3D36)
![3a-6=36](https://tex.z-dn.net/?f=3a-6%3D36)
![3a=42](https://tex.z-dn.net/?f=3a%3D42)
Divide both sides by 3
![\frac{3a}{3}=\frac{42}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3a%7D%7B3%7D%3D%5Cfrac%7B42%7D%7B3%7D)
![a=14](https://tex.z-dn.net/?f=a%3D14)
Thus, the value of a = 14
Nicole rented the bike for 26.6 minutes.
43=15+57(x)
now because 57 is the hourly rate it needs to be divided by the number of minutes in one hour (60).
57/60=0.95cents
now put that aside for later use, the next step in the equation is to subtract the one time fee of $15 from the total spent.
$28 is what is left, now it's time to take that 0.95 and put it to use!
28*0.95=26.6
to double check that the math is correct take the 15+28 and make sure it adds up to 43
Answer:
(5 , 3.8)
Step-by-step explanation:
Hope this help! :)