Rita has 507 books stored on 39 shelves. The same number of books are on each shelf. How many books are on each shelf?
1 answer:
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Answer:
Step-by-step explanation:
Start by finding the slope of the given line.
Slope of given line
A perpendicular bisector cuts through the line at its midpoint perpendicularly.
The product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
, where c is the y-intercept.
To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.
Midpoint of given line
= (0, 2)
When x= 0, y= 2,
2= ⅔(0) +c
2= 0 +c
c= 2
Thus, the equation of the perpendicular bisector is .
Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:
Replacing in the first equation:
So Sasha exercises 7 hours per week.
Max:
Max exercises 13 hours a week.