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Aleksandr-060686 [28]
3 years ago
13

Consider the function f(x)=(x-9)/(x^3-81x) Find the vertical asymptote(s) of f(x)

Mathematics
2 answers:
enyata [817]3 years ago
4 0
Well, here's a harder one
Basically, to find a vertical asymptote, we set the denominator to 0. Like this:
x^3 - 81x = 0
Then we solve for x.
x(x^2 - 81) = 0
x(x+9)(x-9) = 0
x = 0, 9, -9
There are vertical asymptotes at x = 0, x = 9, and x = -9.

never [62]3 years ago
3 0

Answer:

x = 0, –9

Step-by-step explanation:

the vertical asymptote(s) of f(x) are x = 0, –9. Answer A on Edge.

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Starting from home john rides his bike to school and then to the library. How far, in kilometers does John ride his bike? home (
Elza [17]

Answer:

9.385 km

Step-by-step explanation:

Given the points :

home (1 -3) school (-1, 2) library (3, 2)

Distance between Home and school :

Distance = √(x2 - x1)² + (y2 - y1)²

Home = (1, - 3) ; School = (-1, 2)

x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2

Distance = √(-1 - 1)² + (2 - (-3))²

Distance = √-2² + 5²

Distance = √4 + 25

= 5.385 km

From school to library :

School = (-1, 2) ; library (3, 2)

x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2

Distance = √(x2 - x1)² + (y2 - y1)²

Distance = √(3 - (-1))² + (2 - 2)²

Distance = √4² + 0²

Distance = √16 + 0

Distance = √16

Distance = 4 km

Total distance in kilometers from home to library :

(5.385 + 4) km = 9.385km

3 0
3 years ago
OF bisects EOG. EOF = 5y + 10 and FOG = 6y + 3. Solve for y.
brilliants [131]
So the answer is : 5y + 10 = 6y + 3
                              
                        5y - 6y +10 = 3
                              
                                        -y= 3-10
                                          
                                        -y= -7 Now you are looking for y not -y so you have to multiply or divide both side by (-1). It will be :
                                
                                              (-1) -y = (-1) -7
                So:        
                                                     Y = 7 Final answer.




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