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Maksim231197 [3]
3 years ago
11

A rectangular auditorium seats 1564 people. The number of seats in each row exceeds the number of rows by 12. Find the number of

seats in each row.
Mathematics
1 answer:
Semmy [17]3 years ago
8 0
Basically, it is (R being rows) (S being seats)
R times the amount of rows plus 12 is the amount of seats in each row
RAmnt + 12
You know there are 1564 seats
You don’t know the amount of rows
You know the amount of seats in the row minus 12 is the amount of rows in all
seat per row - 12 = rows
To make it easier start making up the number of rows that are possible
Just do x - 12x over and over with the different numbers
X= 1564/y
For example
If y is 5
312.8 - 12y which would be 252.8

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Find an equation of the line. Write the equation using function notation.
Gemiola [76]

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Step-by-step explanation:

Given equation of line is:

4y=x-8

We have to convert the given line in slope-intercept form to find the slope of the line

So,

Dividing both sides by 4

\frac{4y}{4} =\frac{x-8}{4}\\y = \frac{1}{4}x-\frac{8}{4}\\y = \frac{1}{4}x-2

Let m1 be the slope of given line

Then

m_1 = \frac{1}{4}\\

Let m2 be the slope of line perpendicular to given line

As we know that produt of slopes of two perpendicular lines is -1

m_1.m_2 = -1\\\frac{1}{4} . m_2 = -1\\m_2 = -1*4\\m_2 = -4

The slope intercept form of line is given by:

y = m_2x+b

Putting the value of slope

y = -4x+b

to find the value of b, putting (3,-3) in equation

-3 = (-4)(3) + b\\-3 = -12 +b\\b = -3+12\\b = 9

Putting the value of b in the equation

y = -4x+9

Hence,

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/4837736
  • brainly.com/question/4805611

#LearnwithBrainly

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