Consider the right triangle shown below that has an interior angle measure of θ radians. Use the slider in the applet above to show a circle centered at the left-most vertex of the triangle, along with two rays forming an angle.

What is the slope of the hypotenuse of the right triangle?
   

What is the slope of the terminal ray of the angle?
   

What is the value of tan(θ)tan⁡(θ)?
tan(θ)=

​

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

2x + 8

step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.