1) The document provides instructions for homework assignments in math lesson 4-4 that are due on specific dates in December 2012. It includes solving equations written in different forms (point-slope, standard, slope-intercept) and identifying whether lines represented by equations are parallel, perpendicular, or neither.
2) The homework includes practice problems working with parallel and perpendicular lines, writing equations in different forms, and determining if equation pairs represent parallel, perpendicular, or neither relationships between lines.
3) A chapter 4 test is scheduled for December 10th.
This is one of three workshops conducted by the specialist team from MCI and SIF. This is part of MCI's community involvement programme. This is the workshop on secondary mathematics.
Euler circuit is a euler path that returns to it starting point after covering all edges. While hamilton path is a graph that covers all vertex(NOTE) exactly once. When this path returns to its starting point than this path is called hamilton circuit.
Multisets are very powerful and yet simple control mechanisms in regulated rewriting systems. In this paper, we review back the main results on the generative power of multiset controlled grammars introduced in recent research. It was proven that multiset controlled grammars are at least as powerful as additive valence grammars and at most as powerful as matrix grammars. In this paper, we mainly investigate the closure properties of multiset controlled grammars. We show that the family of languages generated by multiset controlled grammars is closed under operations union, concatenation, kleene-star, homomorphism and mirror image.
This is one of three workshops conducted by the specialist team from MCI and SIF. This is part of MCI's community involvement programme. This is the workshop on secondary mathematics.
Euler circuit is a euler path that returns to it starting point after covering all edges. While hamilton path is a graph that covers all vertex(NOTE) exactly once. When this path returns to its starting point than this path is called hamilton circuit.
Multisets are very powerful and yet simple control mechanisms in regulated rewriting systems. In this paper, we review back the main results on the generative power of multiset controlled grammars introduced in recent research. It was proven that multiset controlled grammars are at least as powerful as additive valence grammars and at most as powerful as matrix grammars. In this paper, we mainly investigate the closure properties of multiset controlled grammars. We show that the family of languages generated by multiset controlled grammars is closed under operations union, concatenation, kleene-star, homomorphism and mirror image.
Implicit differentiation allows us to find slopes of lines tangent to curves that are not graphs of functions. Almost all of the time (yes, that is a mathematical term!) we can assume the curve comprises the graph of a function and differentiate using the chain rule.
Implicit differentiation allows us to find slopes of lines tangent to curves that are not graphs of functions. Almost all of the time (yes, that is a mathematical term!) we can assume the curve comprises the graph of a function and differentiate using the chain rule.
Implicit differentiation allows us to find slopes of lines tangent to curves that are not graphs of functions. Almost all of the time (yes, that is a mathematical term!) we can assume the curve comprises the graph of a function and differentiate using the chain rule.
1. Lesson 44.notebook December 03, 2012
Assignment:
1>L4.4, pg. 240241, #236 (evens) Due Wednesday (12/5)
2>Checkpoint 4.14.2 Due Wednesday (12/5)
3>Chapter 4 Test Monday (12/10)
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2. Lesson 44.notebook December 03, 2012
Lesson 4.4 WarmUp:
Write an equation in pointslope form for the line that
passes through each point with the given slope.
1) (5, 3), m = 7
Write each equation in standard form.
2) y 10 = 2(x 8)
3) 2y + 3 = 1/3(x 2)
Write each equation in slopeintercept form.
4) y 11 = 3(x + 4)
5) y + 4 = 3(3x + 3)
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3. Lesson 44.notebook December 03, 2012
Lesson 4.4:
*parallel lines lines in the same plane that never intersect
...and have the same slope
*perpendicular lines lines in the same plane that intersect at right angles
...and have slopes that are "opposite reciprocals"
ie > 3/4 and 4/3
...and the product of their slopes = 1
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4. Lesson 44.notebook December 03, 2012
Lesson 4.4 examples:
Write an equation in slopeintercept form for the line that passes through the
given point and is PARALLEL to the graph of the given equation.
A) (1, 2), y = 1/2x 3
B) (3, 2), y = x + 4
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5. Lesson 44.notebook December 03, 2012
Write an equation in slopeintercept form for the line that passes through
the given point and is PERPENDICULAR to the graph of the given equation.
C) (1, 4), y = 3x + 5
D) (3, 2), y = 2x + 4
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6. Lesson 44.notebook December 03, 2012
Determine whether the graphs of the following equations are parallel,
perpendicular, or neither.
E) y = 2x and 2x + y = 3
F) 3x + 5y = 10 and 5x 3y = 6
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