Answer:
trapezoid area = ((sum of the bases) ÷ 2) • height
trapezoid area = ((6 + 12) / 2) * height
trapezoid area = 18 / 2 * height
height = 99/9 = 11
Step-by-step explanation:
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Step-by-step explanation:
Given equation of line is:

The coefficient of x is the slope of the line so the slope of given line is: -0.75
As parallel lines have equal slopes so the required equation of line will have the same slope.
The slope-intercept form is:

Putting the value of the slope

To find the value of b, putting the point in the equation

Putting the values of m and b, we get

Hence,
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Keywords: Equation of line, Slope-intercept form
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9514 1404 393
Answer:
A = -68.75p +2906.25
Step-by-step explanation:
We can solve for m and b using the given values of A and p.
1600 = m·19 +b
2150 = m·11 +b
Subtracting the second equation from the first, we have ...
-550 = 8m
m = -550/8 = -68.75
Substituting this into the first equation gives ...
1600 = 19·(-68.75) +b
b = 1600 +1306.25 = 2906.25
The desired linear equation is ...
A = -68.75p +2906.25
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<em>Additional comment</em>
Revenue will be maximized at the price that cuts attendance to half the value when the price is 0, about $21.14.