The width of a rectangle is the length minus 6 units. The area of the rectangle is 27 units.The area of the rectangle is 27 unit
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Try this explanation, note that csc(x)=1/sin(x); cot(x)=cos(x)/sin(x).
The equation for a rational function with: Vertical asymptotes at x = 2 and x = -4. x-intercepts at x = 1 and x = 4. y-intercept at 9 is
<u>information gotten from the question</u>
From the question given above, the following data were obtained:
- Vertical asymptotes at x = 2 and x = -4
- x-intercepts at x = 1 and x = 4
- y-intercept at 9
- y =?
Rational function means that the equation will be a fraction
The rational function that models the Vertical asymptotes at x = 2 and x = -4. x-intercepts at x = 1 and x = 4. y-intercept at 9 is written as follows
The numerator
x-intercepts at x = 1 and x = 4
x = 1 ⇒ (x - 1)
x = 4 ⇒ (x - 4)
This means the equation will have (x - 1) (x - 4) as the numerator
The denominator
Vertical asymptotes at x = 2 and x = -4
x = 2 ⇒ (x - 2)
x = -4 ⇒ (x + 4)
This means the equation will have (x - 2) (x + 4) as the denominator
y-intercept at 9
expressing the functions derived already gives
substituting x = 0 and y = 9 and solving gives a
4a = 9 * -8
a = -36
The equation of the rational function is
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