You need to cover the playground of a child development center with mulch. The playground is 125 feet long and 60 feet wide. You
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Answer:
Step-by-step explanation:
<u>Equation of a line</u>
A line can be represented by an equation of the form
Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.
We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.
Two lines with slopes m1 and m2 are perpendicular if:
The given line has a slope m1=5, thus the slope of our required line is:
The equation of the line now can be expressed as:
We need to find the value of b, which can be done by using the point (7,2):
Operating:
Multiplying by 5:
Operating:
Solving for b:
The equation of the line is:
Let 
the price of a ticket
Let
the cost to put on the show
Formula:
(profit) = (ticket price) * (number of people) - (cost to put on show)
We have two equations here:
Solve:
⇒
⇒
⇒
⇒
So the price of a ticket is $5, and the cost to put on the show is $100.
Let
Formula:
(profit) = (ticket price) * (number of people) - (cost to put on show)
We have two equations here:
Solve:
⇒
⇒
⇒
⇒
So the price of a ticket is $5, and the cost to put on the show is $100.