Step-by-step explanation:
Domain of a rational function is everywhere except where we set vertical asymptotes. or removable discontinues
Here, we have

First, notice we have x in both the numerator and denomiator so we have a removable discounties at x.
Since, we don't want x to be 0,
We have a removable discontinuity at x=0
Now, we have

We don't want the denomiator be zero because we can't divide by zero.
so


So our domain is
All Real Numbers except-2 and 0.
The vertical asymptors is x=-2.
To find the horinzontal asymptote, notice how the numerator and denomator have the same degree. So this mean we will have a horinzontal asymptoe of
The leading coeffixent of the numerator/ the leading coefficent of the denomiator.
So that becomes

So we have a horinzontal asymptofe of 2
Length of AB is 18
Step-by-step explanation:
- Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.
sin 60 = opposite side/hypotenuse = 9√3/x
x = 9√3/sin 60
= 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)
= 18
Answer:
next 3 terms are -15, -28, -41. The formula would be n= (n-1)-13 to get the nth term
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
or 16
Answer:
Step-by-step explanation:
For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius
The formula for circumference of a circle = 2πr
Circumference = 56.52 inches
r = Circumference/2π
r = 56.52/2π