onsider the matrix \( X=A B \) here \( A \) and \( B \) are the natrices below \( A=\left[\begin{array}{cccc}1 & 2 & -1 & 4 \\ 3 & -1 & 1 & 3 \\ -2 & 5 & -k & k+1\end{array}\right] \) and \( B=\left[\begin{array}{ccc}1 & 2 & -1 \\ 0 & 4 & 1 \\ 3 & -1 & 1 \\ -2 & 5 & k(k-1)\end{array}\right]_{w i l l} \) 7or which values of \( k \) the entry \( X_{13}=0 \) ?

A line that includes the points \( (-8, v) \) and \( (-6,-10) \) has a slope of -8 . What is the value of \( v \) ?

Building \( A \) is 150 feet shorter than Building B. The total height of the two buildings is 1490 feet. Find the height of each building. What is the height of Building \( A \) ? \( \square \mathrm{ft} \) (Simplify your answer. Type an integer or a decimal.) What is the height of Building B? \( \square \mathrm{ft} \) (Simplify your answer. Type an integer or a decimal.)

Find the slope and \( y \)-intercept of the graph of the equation. \[ y=\frac{2}{5} x-1 \] Slope \( =\square \) (Enter a fully reduced fraction.) The y-intercept is \( \square \). (Simplify your answer. Type an ordered pair.)

If \( 10^{\log x}=10^{18} \), what is the value of \( x ? \) (1 point) 18 \( 10^{18} \) -18 \( 10^{-18} \)

Solve for \( m \) \[ \begin{array}{l}-8-5 m=-3 m+6 \\ m=\square \\ \text { Submit }\end{array} \]