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.
Answer: The area is 15 square units
Step-by-step explanation: It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.
Use the differences in x-values of points C & A to get the length of the base: 2-(-3) is 5
Use the differences in y-values of points B & C to get the height:
4-(-2) = 6
Area = bh/2
A = 5×6/2 = 30/2
A = 15 square unts
Answer:
k=-2
Step-by-step explanation:
7k-10=-8-4(k+6)
7k-10=-8-4k-24
7k-10=-32-4k
7k-10=-32-4k
11k-10=-32
11k=-22
k=-2
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
x
=
−
1
Step-by-step explanation:
Step-by-step explanation:
Hey there!
Given;
f ( x ) = x² + 2x - 1
g ( x ) = 3x - 2
To verify:

LHS:

~ Insert "2" instead of "x".

Simplify it;

Therefore; (f/g)(2) = 7/4.
RHS:

~Insert "2" instead of"x".

Simplify it.

Therefore, f(2)/g(2) = 7/4.
Since (f/g)(2) = f(2)/g(2) = 7/4.
<em><u>Proved!</u></em>
<u>Hope </u><u>it </u><u>helps</u><u>!</u>