Once you start working problems like these, it pays to get an appropriate calculator.
.. (x, y, z) ≈ (248.01, 43.63, 88.34) . . . . rounded to 2 decimal places
_____
The attempt to convert these to fractions with denominators less than 9999 failed.
This is the concept of trigonometry, we are required to find the vertical asymptote of the function given by;
y=2tan x
For any y=tan x, vertical asymptotes occur at the point x=π/2+nπ, where is an integer given by n=0,1,2,3...
Therefore we can generate the vertical asymptotes as follows;
When x=0
y=π/2
when x=1
y=π/2+π
y=3/2π
when x=2
y=π/2+2π
y=5/2π
Therefore at the interval [0,2π]
The vertical asymptotes are:
π/2, 3/2π, 5/2π
Answer:
In x - 5 years.
Step-by-step explanation:
5 years ago:
Sam's age: x
Nina's age: 2x
Now:
Sam's age: x + 5
Nina's age: 2x + 5
Let t be the number of years from now that Nina will be 1.5 times Sam's age.
In t years:
Sam's age: x + t + 5
Nina's age: 2x + t + 5
Nina will be 1.5 times Sam's age:
2x + t + 5 = 1.5(x + t + 5)
2x + t + 5 = (3/2)(x + t + 5)
2(2x + t + 5) = 3(x + t + 5)
4x + 2t + 10 = 3x + 3t + 15
4x + 10 = 3x + t + 15
x - 5 = t
t = x - 5
Answer:
9(9a-2)
Step-by-step explanation:
81a + (-18)
= 81a - 18
= 9 (9a - 2)
The answer would be (-1, -1) on a coordinate grid.
(-6+4)/2=x
(-2)/2=x
-1=x
(5+-7)/2=y
(-2)/2=y
-1=y