Find the value of the constant k that makes the function continuous h(x) =
\begin{cases}
x^{2}  & \text{if $x\le5$} \\
x+k &  \text{if $x>\ 5$} \\
\end{cases}
Answer choices are A. k=20 B.k=-5 C. k=5 D. k=30

$$\lim_{x\to 5-}x^2=\lim_{x\to 5+}x+k$$$$5^2=5+k$$$$k=20$$
