Exam 10: Completing the Square

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The shape of the famous Gateway to the West arch in Saint Louis can be modeled by a parabola. The shape of the famous Gateway to the West arch in Saint Louis can be modeled by a parabola.   The equation for this parabola is:   where x and y are in feet. Approximately how far do you have to walk to get from one side of the arch to the other? __________ feet The equation for this parabola is: The shape of the famous Gateway to the West arch in Saint Louis can be modeled by a parabola.   The equation for this parabola is:   where x and y are in feet. Approximately how far do you have to walk to get from one side of the arch to the other? __________ feet where x and y are in feet. Approximately how far do you have to walk to get from one side of the arch to the other? __________ feet

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Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____

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If the length of the shorter sides of a If the length of the shorter sides of a   triangle is x , find the length of the hypotenuse, in terms of x .  triangle is x , find the length of the hypotenuse, in terms of x . If the length of the shorter sides of a   triangle is x , find the length of the hypotenuse, in terms of x .

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The length of a rectangle is 5 inches more than twice the width. If the area is to be at least 52 square inches, what are the possibilities for the width? The width is at least __________ inches.

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Use the discriminant to find the number and kind of solutions for the following equation. Use the discriminant to find the number and kind of solutions for the following equation.

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Find an equation that has the given solutions. Find an equation that has the given solutions.   ,  , Find an equation that has the given solutions.   ,

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Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)

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