Determine the values of the requested variables
1 answer:
You might be interested in
Answer:
x=17
Step-by-step explanation:
See those same little "triangles" on each right end of the horizontal lines? That means that the horizontal lines are parallel. And the vertical line that passes through both of them is called a transversal. Whenever we have that situation - where parallel lines are being intersected by a transversal - we can then know which angles are equal to each other using some postulates.
The angles with the given equations shown are corresponding angles. We know this because they are in the same matching corners created by the intersections. And by using the Corresponding Angles Postulate, which states that corresponding angles are congruent (or equal) we then know that 5x-25 and 3x+9 must be equal to each other, too.
From there, we can set up an equation to find x. Just set them equal to each other like so and solve:
Therefore, x = 17. Please don't hesitate to ask any questions!
So here are the rules of horizontal asymptotes:
- Degree of Numerator > Degree of Denominator: No horizontal asymptote
- Degree of Numerator = Degree of Denominator:
- Degree of Numerator < Degree of Denominator: y = 0
Looking at the rational function, since the degree of the numerator is 2 and the degree of the denominator is 1 (and 2 > 1), this means that <u>this function has no horizontal asymptote.</u>