Podcast
Questions and Answers
What is the graph representation of the inequality $2x + 3y ≤ 6$?
What is the graph representation of the inequality $2x + 3y ≤ 6$?
It is a shaded region below the line $2x + 3y = 6$ in the Cartesian plane.
Given the graph that shows $y > 2x + 1$, what does this indicate about the relationship between y and the line?
Given the graph that shows $y > 2x + 1$, what does this indicate about the relationship between y and the line?
It indicates that y is greater than the value provided by the line $y = 2x + 1$ for any x.
What is the solution for the quadratic inequality $x² - 2x - 3 ≤ 0$?
What is the solution for the quadratic inequality $x² - 2x - 3 ≤ 0$?
The solution is $-1 ≤ x ≤ 3$.
What are the intervals where the inequality $-x² + x + 12 < 0$ holds true?
What are the intervals where the inequality $-x² + x + 12 < 0$ holds true?
If $cos θ = -0.6753$, what are the possible values of θ in degrees?
If $cos θ = -0.6753$, what are the possible values of θ in degrees?
Using the given angles and side AB, how would you determine the length of side b in the triangle?
Using the given angles and side AB, how would you determine the length of side b in the triangle?
How do you verify the measure of angle R in the triangle with the given side lengths and angle P?
How do you verify the measure of angle R in the triangle with the given side lengths and angle P?
What formula would you use to calculate the height of a television screen given its diagonal and width?
What formula would you use to calculate the height of a television screen given its diagonal and width?
What method would you use to calculate the time it takes for two friends to complete a paper route together?
What method would you use to calculate the time it takes for two friends to complete a paper route together?
How would you determine the average speed for the dog race given the total distance and time, considering the speed change on the return trip?
How would you determine the average speed for the dog race given the total distance and time, considering the speed change on the return trip?
Flashcards
Law of Sines
Law of Sines
Finding the length of a side in a triangle using the Law of Sines, which states that the ratio of the length of a side to the sine of the angle opposite that side is the same for all sides of a triangle.
Diagonal Relationship in a Rectangle
Diagonal Relationship in a Rectangle
A mathematical relationship that connects the diagonal, width, and height of a rectangle, based on the Pythagorean theorem.
Average Speed Calculation
Average Speed Calculation
Calculating the average speed of a journey with varying speeds on different parts of the journey.
Combined Work Time
Combined Work Time
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Trigonometric Ratios in Triangles
Trigonometric Ratios in Triangles
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Graphing linear inequalities
Graphing linear inequalities
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Solving quadratic inequalities by graphing
Solving quadratic inequalities by graphing
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Solving inequalities using intervals
Solving inequalities using intervals
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Finding exact trigonometric values
Finding exact trigonometric values
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Solving for angles in trigonometry
Solving for angles in trigonometry
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Study Notes
PC 11 Feedback
- Topic: Graphing inequalities
- Example: 2x + 3y ≤ 6
- Example solution: ex.1 p.466
Inequalities from Graph
- Topic: Writing inequalities from graphs
- Example: y > 2x + 1
- Example solution: ex.3 p.469
Solving by Graphing
- Topic: Solving quadratic inequalities graphically
- Example: x² - 2x - 3 ≤ 0
- Example solution: ex.1 p.478
Solving Inequalities
- Topic: Solving quadratic inequalities using intervals
- Example: -x² -x + 12 ≥ 0
- Example solution: ex.2 p.480
Trigonometry
- Topic: Finding trigonometric values given specific conditions
- Example: θ is an angle in standard position with terminal arm in quadrant III, and cos θ = -3/4
- Find sin θ
- Exact value = -√7/4
- θ = 132.5°, 227.5° (example solution)
- Example solution: ex.3 p.92
- Example solution: ex.6 p.95
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