Two cars traveling toward each are 200 miles apart. Car A is traveling 20 miles per hour faster than car B. The cars pass after
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Answer:
The function f(x) = ln(x - 4) is graphed the question options
Step-by-step explanation:
* Lets study the the information of the problem
- The graph of a logarithmic has a vertical asymptote at x=4
* That means the curve gets closer and closer to the vertical line x = 4
but does not cross it
- It contains the point (e+4, 1)
* That means if we substitute x = e + 4 in the equation the value
of y will be equal to 1
- It has an x-intercept of 5
* That means if we substitute y = 0 in the equation the value of x
will be equal to 5
* Lets find the right answer
∵ f(x) = ln(x - 4)
* To find the equation of the asymptote let x - 4 = 0
∵ x - 4 = 0
∴ x = 4
∴ f(x) has a vertical asymptote at x = 4
* Lets check the point (e + 4 , 1) lies on the graph of the f(x)
∵ x = e + 4
∴ f(e+4) = ln(e + 4 - 4) = ln(e)
∵ ln(e) = 1
∴ The point (e+4 , 1) lies on the graph of the function f(x)
* To find the x-intercept put y = 0
∵ f(x) = 0
∴ ln(x - 4) = 0
* Change the logarithmic function to the exponential function
- The base of the ln is e
∴ e^0 = x - 4
∵ e^0 = 1
∴ x - 4 = 1 ⇒ add 4 to the both sides
∴ x = 5
* The function f(x) = ln(x - 4) is graphed the question options
Since we know that the 38 is being bisected (which we can tell by the fact that the line hits it perpendicularly), we know that from the intersection to the edge of the circle is 19. From this we can create a right triangle in which the legs are 10 and 19 and the hypotenuse is a radius of the circle. Since x is also a radius of the circle, all we have to do is use that information to find the hypotenuse using the Pythagorean Theorem and we have x.
Pythagorean Theorem
+ 
= 
+ 
= 
100 + 361 =
461 =
x =
or about 21.47
Pythagorean Theorem
100 + 361 =
461 =
x =
