Tangent Θ = opposite / adjacent
AB = short leg = opposite = 12
AC = long leg = adjacent = 5
BC = hypotenuse = 13
tangent Θ = 12/5 ⇒⇒⇒ this is in ratio form
tanΘ = 2.4 ⇒⇒⇒ this is in decimal form
Answer:The distance from a point to a line is
distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)
So first convert the formula for the line to standard form
5x+2y=4
5x+2y-4=0
a=5, b=2, c=-4, x0=15, y0=-21
Step-by-step explanation:
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conjunction are the words that join 2 sentences
The equation of the profit function is 300x - 3600
Total cost function C(x) = 74x + 3600
Total revenue function R(x) = 374x
The profit function is the difference between the total revenue and the total cost and this will be:
= R(x) - C(x)
= 374x - (74x + 3600)
= 374x - 74x - 3600
= 300x - 3600
In conclusion, the equation of the profit function is 300x - 3600
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