I teach Pre-calculus, Algebra 3, and Algebra 2 full time. Now that I am currently teaching from home, I have more free time available to me. I figured this would be a good way to spend that free time, since I already have experience making video lessons.
Sketch each angle in standard position.(a) $270^{\circ} \quad$ (b) $120^{\circ}$
Use the Midpoint Formula to estimate the sales of Big Lots, Inc. and Dollar Tree Stores, Inc. in 2005, given the sales in 2003 and 2007. Assume that the sales followed a linear pattern.Big Lots$\begin{array}{r|r}{2003} & {\$ 4174} \\ {2007} & {\$ 4656}\end{array}$
DISTANCE The angles of elevation $\theta$ and $\phi$ to an airplane from the airport control tower and from an observation post 2 miles away are being continuously monitored (see figure). Write an equation giving the distance $d$ between the plane and observation post in terms of $\theta$ and $\phi .$
The sum of an $n \times m$ matrix and an $m \times n$ matrix, where $m \neq n,$ is ________.
For matrices $X=\left[\begin{array}{ll}{x} & {y} \\ {z} & {w}\end{array}\right]$ and $0=\left[\begin{array}{cc}{0} & {0} \\ {0} & {0}\end{array}\right],$ find the matrix
Using matrices $O=\left[\begin{array}{ll}{0} & {0} \\ {0} & {0}\end{array}\right], P=\left[\begin{array}{ll}{m} & {n} \\ {p} & {q}\end{array}\right], T=\left[\begin{array}{ll}{r} & {s} \\ {t} & {u}\end{array}\right],$ and $\boldsymbol{X}=\left[\begin{array}{ll}{\boldsymbol{x}} & {\boldsymbol{y}} \\ {\boldsymbol{z}} & {w}\end{array}\right],$ verify the statements.
$X+(T+P)=(X+T)+P$ (associative property of addition of matrices)
