Answer:
The volume of this triangular prism is 20
Step-by-step explanation:
Just like it is shown in the picture we can use the formula for the volume of a triangular prism.
In our case b = 5cm, h = 2 cm, l = 4cm. Now we just plug in the values and get...
Therefore the volume of the triangular prism is 20.
Answer:
3... 5,7....x,y....12
Step-by-step explanation:
Numbers of Terms: 3
Coefficients: 5 and 7
Variables: x and y
Constant: 12
Now, we know that he's charging $12 per session to each of his students, and he has 14 students currently, so his revenue is just 14 * 12 or 168 bucks.
now, let's take a peek as the session price goes up in jumps of 2, from 12, to 14, 16, 18 and so on, as each jumps happen, the students drop by 1, from 14, to 13, to 12 and so on.
notice, the revenue starts off at 168, goes up up, reaches 200 bucks and then starts to drop back down.
thus, that means the U-turn or vertex of that revenue function is at 4,200, namely h = 4, and k = 200
if you look at delta y over x, you'll notice it always equals 2
i.e (22-2)/10-0 = 20/10 = 2
or (14-2)/6-0 = 12/6 = 2
or even (22-8)/10-3 = 14/7 = 2
This means that m (slope) is 2.
Now as for b. b is the y intercept and that value occurs when x = 0. On the table, when x = 0 y = 2 so b = 2.
y = mx + b becomes
y = 2x + 2
Vertical angles are where the top equals the bottom or the left equals the right angle. So we would do:
8x - 13 = 5x + 8
And then substitute.
3x = 21
x = 7
