Answer:
Step-by-step explanation:
Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7
X and Z equal 72
Y equals 108.
This is because y and 108° are vertex angles meaning they are both equal to each other. X is 72 because it’s form a supplementary angle with 108°. So what I did to find x is I subtracted 108 from 180 to get 72°. Then I know x and z are vertex angles meaning that z is also equal to 72°
The answer for the first blank is 36 and the answer for the second blank is 97.
To complete the square, we first take half of the value of b. The value of b in this equation is -12; -12/2 = -6.
Next we square the value we just got: (-6)² = 36.
This is what we add to both sides of the equation, giving us:
x²-12x+36=61+36
Combining like terms on the right, we have
x²-12x+36=97
Hey there!
The formula for the volume of a cylinder is
, which is essentially the base multiplied by the height.
If our diameter is six, then our radius is three, so we can solve for our base below. We will use 3.14 for pi.

Now, we multiply this by our height of four.

Therefore, our volume is 113.04 cubic units.
I hope this helps!
Step-by-step explanation:
this is the anwser it is inverse trigonometry