Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S
= 
(a + l), where
- n is the number of the terms
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S = 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 = (26 + 150)
∴ 2,816 = (176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
C= πd+2l
C= π*62+2*100
C= 194.99+200
C= 394.99 m²
I don't know why it doesn't match up with the choices, but this is the correct answer. So when putting the answer in, put 394.68 since it's the closest answer chice
Answer:
D. (-2,1)
Step-by-step explanation:
we have
This is the equation of a vertical parabola open upward The vertex represent a maximum
Convert the quadratic equation in vertex form
where
(h,k) is the vertex
Complete the square
Rewrite as perfect squares
The vertex is the point (-2,1)
To make this easy you should put the equation into slope-intercept form :
y = mx + b
the y-intercept is b
remember : the y-intercept can be 0
i hope this helps !!
