Answer:
-12x+20
Step-by-step explanation:
Subtract similar numbers:
2x - 14x = -12x
Product:
12 - 12x + 8
Group the terms that are similar:
-12x + 12 + 8
Add the numbers:
-12x + 20
Final answer:
-12x + 20
Row 15 has 41 seats, and the entire section has 493 seats.
We can write the explicit formula for an arithmetic sequence to represent this, since we add 2 each time:
13+2(n-1)
Using 15 for n,
13+2(15-1) = 13+2(14) = 13+28 = 41
To find the total number of seats, we evaluate the sum

Using technology to evaluate this sum, it is 493.
check the picture below.
so, when we have a line from a 90° angle running perpendicular to the opposite side, like in this case, we end up with three similar triangles, a large one containing the other two, a medium and a small one.
now, using the sides proportions as you see there, of the small and large one, we get that much.
Answer:
1 1/9
Step-by-step explanation:
No, the two lines do NOT intersect because they are parallel lines (see the attached image). Both lines have a slope of 2, or 2/1. Recall that slope = rise/run. So this means that we go up 2 and over to the right 1. Lines with the same slope but different y intercepts means that they are parallel. Parallel lines never cross.
In short, the final answer is choice D.