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aleksley [76]
2 years ago
10

In a movie theater, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie thea

ter, if the total number of seats in the theater is 884?
Mathematics
1 answer:
Harman [31]2 years ago
8 0

Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

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6 0
2 years ago
The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applie
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v(x) = a (x-h)2 + k
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From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
6 0
2 years ago
What does this equal to? <br> 8ft 12 in. = ____yd
MissTica
First:
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Hope this helps!
8 0
3 years ago
Read 2 more answers
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