Turn off the faucet if not in use
Take shorter showers
Water your plants only when it needs it
Don’t throw trash on the sea
(2x+1)(x-2) = 2x^2 - 4x +x -2= 2x^2-3x-2
P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is ![\frac 1 2 bh = \frac 1 2 (6)(4) = 12](https://tex.z-dn.net/?f=%20%5Cfrac%201%202%20bh%20%3D%20%5Cfrac%201%202%20%286%29%284%29%20%3D%2012)
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
![A = \frac 1 2 | 7(6)-6(1) + 1(2)-6(4) + 4(6)-2(7) | = \frac 1 2 |24| = 12](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%201%202%20%7C%207%286%29-6%281%29%20%2B%201%282%29-6%284%29%20%2B%204%286%29-2%287%29%20%7C%20%3D%20%5Cfrac%201%202%20%7C24%7C%20%3D%2012)
Answer:
The total number of registered doctors was 192,473.
Step-by-step explanation:
This question can be solved using a rule of three.
53700 is 27.9% = 0.279. The total number of registered doctors is x, which is 100% = 1. So
53700 doctors - 0.279
x doctors - 1
![0.279x = 53700](https://tex.z-dn.net/?f=0.279x%20%3D%2053700)
![x = \frac{53700}{0.279}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B53700%7D%7B0.279%7D)
![x = 192473.11](https://tex.z-dn.net/?f=x%20%3D%20192473.11)
Rounding to the nearest whole number.
The total number of registered doctors was 192,473.
120 ft... a flat vertical line is 180 degrees, and since this is a 30,60,90 triangle, your equation is... 180-60=distance John is to the base