Explanation Given: The equation of conic is 11 − 3 x = 2 y 2 − 8 y . Formula used: One of the standard form of the parabola with vertex ( h , k ) is given by the following: ( y − k ) 2 = 4 c ( x − h ) Calculation: In the given equation of conic 11 − 3 x = 2 y 2 − 8 y it is seen that y 2 term is present, and x term is not squared. So, the equation could be of a parabola. The standard form of the parabola is written as follows: ( y − k ) 2 = 4 c ( x − h ) ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ( 1 ) Write the given equation in the standard form and label it as equation (2). 11 − 3 x = 2 y 2 − 8 y 11 − 3 x = 2 y 2 − 8 y + 8 − 8 ( Add and subtract 8 ) 11 − 3 x = 2 ( y 2 − 4 y + 4 − 4 ) ( Factor out 2 ) 11 − 3 x = 2 ( y − 2 ) 2 − 8 Further simplify the above equation

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ISBN: 9780321900760

Author: Rockswold

Publisher: PEARSON EDUCATION (COLLEGE)

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In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 7.3, Problem 18E

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To identify: The type of graph of equation 11−3x=2y2−8y, without graphing.

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Chapter 7.3, Problem 17E

Chapter 7.3, Problem 19E

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A student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix: -2 3 -0.5 10 0 0 0 -2 0 1 -4 Which of the following conclusions is mathematically supported by the work shown about system of linear equations? The 3x3 system of linear equations has no solution. ○ The 3x3 system of linear equations has infinite solutions. The 3x3 system of linear equations has one unique solution.

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EBK GRAPHICAL APPROACH TO COLLEGE ALGEB

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The type of graph of equation 11 − 3 x = 2 y 2 − 8 y , without graphing.

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To identify: The type of graph of equation 11−3x=2y2−8y, without graphing.

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Chapter 7 Solutions