6. \( \begin{aligned} x+y+z & =0 \\ 3 x+2 y-2 z & =0 \\ 4 x+3 y-z & =0 \\ 6 x+5 y+z & =0\end{aligned} \)

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.)

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

Use the rule \( \log _{b}(x y)=\log _{b} x+\log _{b} y \) to find \( \log _{2}(16 \cdot 64) \). (1 point)

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.)

Solve for \( x \) in the logarithmic equation \( 10^{\log \left(10^{24}\right)}=10^{x} \). (1 point) \( \begin{array}{l}x=10^{24} \\ x=24^{10} \\ x=24 \\ x=10\end{array} \)