Answer: 0.57
Step-by-step explanation:
khan academy
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)
C
By subtracting 18 to both sides you are separating the 3x because you are not ready to isolate the variable (x) in step 1
Answer:
<u><em>28 minutes.</em></u>
Step-by-step explanation:
We can see from our graph that 12 minutes after starting the race Lynn left Kael behind and he ran at a greater speed till the race ended after 40 minutes.
To find total number of minutes Lynn ran faster than Kael we will subtract 12 from 40.
Therefore, Lynn ran at a greater speed than Kael for <u><em>28 minutes.</em></u>
Answer:
okay so if 3 cans are $.95 each she paid $2.85. She paid with $5.00. so 5-2.85 means she got <u>$2.15</u> back for her change