A city council has to use its resources to improve either the water supply or the drainage system. At which level is this decision made?
The asnswer is: Government
Being able to do this problem hinges mainly on your knowing the definitions of the trig functions and being able to read side lengths from the given diagram.
csc theta = hypotenuse / opp side = 4 / √(4^2 + 5^2) = 4 / √41.
sin theta is the reciprocal of csc theta, or √41 / 4.
cot theta is adj side / opp side = 5/4.
<h3>
Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>
A bit of further explanation:
The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.
Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h
For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.
Answer:
a = 162
Step-by-step explanation:
9 = 1/27 a +3
Subtract 3 from each side
9-3 = 1/27 a +3-3
6 = 1/27 a
Multiply each side by 27
6*27 = 1/27 a *27
162 = a
It’s -3 mate good luck on your test :)
