Sine law is used when yow have a triangle which you know an angle and it’s opposite side as well as another side or angle. At the top of the next immage you will see the 3 equations that you use to solve the triangle.
As you can see we are looking for side a in this triangle. Since we have not B angle or b side we will not have to use the sine law b equation. The next picture shows the equations filled in.
From here you just have to solve the equation.
This week we learned how to Multiply and divide rational expressions.
First factor the top and bottom of each fraction. then look and see if there are adding or subtracting between the expressions because they hold each expression together so that they can’t cancel out. Now, find the numbers that your variable can’t equal these are your non-permissible values. Then cancel out your pairs of expressions. You now have a finished answer.
This week the thing that I learned about that stood out the most to me was the steps of solving a word problem.
first you read and read again but the second time underline the words or numbers that indicate values that would next go into your equation(these values could be anything eg. 12 milk cartons). Then create your equation and solve, once you have your numerical answer put that into an sentence for your final answer.
when creating your equation look for more than and less than because those mean add or subtract. Also take a close look at the final sentence because that usually describes your variable.
Graphing absolute value linear equations, the just of it is that nothing can be below the xaxis instead it is reflected off of the x axis to create a v graph.
original y = -x + 2 is red
absolute y = l-x + 2l is blue
Graphing absolute value quadratics. When graphing an absolute value quadratic’s you basically reflect whatever is below the x axis.
Original Y = -x^2+5 is red
Absolute Y = l-x^2+5l is blue
If the whole parabola is below the x axis this is what it looks like.
Original Y = -x^2-3 is green
absolute Y = l-x^2-3lis blue
What stood out to me this week was plotting quadratic inniqualitys with 2 variables. This means instead of just on the x axis we are now on x and y axis creating diagonal and vertical lines. We also have to shade one side of the line.
here are some examples
In the first example you can see the line is dotted witch means that the symbol is either <or> and on the second one the line is solid witch means the symbol is either (greater than or equal) or (less than or equal to).
these are those symbols
The possible out comes are
This week was mostly tests and studying but we also learned how to plot quadratic iniquities an a number line / x axis.
First review the basics.
Now an example including solution.
Plot on line.
Insert answer into original question to find out if the circle is open or closed.
Then we know our answer is correct and we know the circle is open.
This week I learned about calculating revenue.
This week we learned how to graph equations the are in standard form.
here is a diagram of what each part of a standard form equation does.