Answer:
The answer is 54.896N
Step-by-step explanation:
From Hooke's law,
Force = spring constant x extension
i.e
F = k x e
F = 188N/m x 0.292m
F = 54.896N
Answer:
The dimensions of the wall are 100 ft x 100 ft
Step-by-step explanation:
we know that
The perimeter of a rectangular wall is

where
x is the length
y is the width
we have

so

simplify
----> equation A
The area of a rectangular wall is equal to
----> equation B
substitute equation A in equation B

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
Convert the quadratic equation in vertex form

Factor -1

Complete the square


Rewrite as perfect squares
----> equation in vertex form
The vertex is the point (100,10,000)
The x-coordinate of the vertex represent the length of the wall for a maximum area
so

Find the value of y
equation A

therefore
The dimensions of the wall are 100 ft x 100 ft
the highest fair would be 240 customers charging 11 dollars with a profit of 2,640 dollars
Answer:
true
Step-by-step explanation:
Answer:
Step-by-step explanation:
Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.