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OpenStax, Intermediate Algebra 2e §11.5 Solve Systems of Nonlinear Equations · Exercise 164 · Algebra · Systems

Solve Systems of Nonlinear Equations · Exercise 164

In the following exercises, ⓐ identify the type of graph of each equation as a circle, parabola, ellipse, or hyperbola, ⓑ write the equation in standard form, and ⓒ graph the equation.

For her birthday, Olive’s grandparents bought her a new widescreen TV. Before opening it she wants to make sure it will fit her entertainment center. The TV is 55”. The size of a TV is measured on the diagonal of the screen and a widescreen has a length that is larger than the width. The screen also has an area of 1452 square inches. Her entertainment center has an insert for the TV with a length of 50 inches and width of 40 inches. What are the length and width of the TV screen and will it fit Olive’s entertainment center?

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OpenStax, Intermediate Algebra 2e · §11.5 Solve Systems of Nonlinear Equations · Exercise 164

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