Answer:
424--------------------------------------------------------
Using the Pythagorean theorem:
a^2 + 24^2 = 26^2
a^2 + 576 = 676
a^2 = 676 - 576
a^2 = 100
a = SQRT(100)
a = 10
So here are the rules of horizontal asymptotes:
- Degree of Numerator > Degree of Denominator: No horizontal asymptote
- Degree of Numerator = Degree of Denominator:
![y=\frac{\textsf{leading coefficient of numerator}}{\textsf{leading coefficient of denominator}}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Ctextsf%7Bleading%20coefficient%20of%20numerator%7D%7D%7B%5Ctextsf%7Bleading%20coefficient%20of%20denominator%7D%7D)
- 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>
You just need to list the equations of the two graphs.
y=x^2 + 2
y=x+4