We know that In right angle triangle c^2 = a^2 + b^2.
19^2 = 3^2 + b^2
b = (361 - 9)^1/2 = 18.761663039294
Now for angles
sin(A) = a/c = 3/19
A = sin{-1}(3/19) = 9.0847202873911
A = 9.0847202873911
sin(B) = b/c = 18.761663039294 / 19
B = sin{-1}(18.761663039294 / 19) = 80.915279712614
B = 80.915279712614
Step-by-step explanation:
The x-intercept is at (-3, 0). To find the slope of the perpendicular line, let's rewrite the equation to its slope-intercept form, which is
y = (2/3)x + 2
This means that the perpendicular line has a slope m = -3/2. So the slope-intercept form of this new line is
y = -(3/2)x + k. Since this line passes through (-3, 0), we cal solve for k:
0 = -(3/2)(-3) + k or k = -9/2
So our equation becomes (slope-intercept form)

or in its standard form,

Answer:
At a price of $p, a quantity, q, of the item is sold.
If q = f(p)
(a) f(150) = 2000 means at price = 150$, the number of items sold is 2000
(b) f'(150) = -25 means rate of sale is negative or the number of items sold will be decreases in future
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