21 x2 + Y? - 8X +6Y + 21 = 0 Use the process of completing the square to rewrite the equation above as the equation of a circle in standard form , and identify the center and radius. The center is at the point ( The radius is

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Q: Find the equation of the parabolic arch formed in the foundation of the bridge shown. (Write the…

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Q: . Write the equation into the standard form of the equation of the parabola: x2 + 4x – 4y = 0.…

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Q: Q5 A concrete bridge is designed with an arch in the shape of a parabola. The road over the bridge…

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Q: ractions or square roots.) 4x² - y² + 32x+6y+39 = 0

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Q: x' +y - 8x + 6y + 21 = 0 Use the process of completing the square to rewrite the equation above as…

A: on  solving this we get

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Q: A straight line touches the rectangular hyperbola 9x² -9y² = 8 and the parabola y =32x. the equation…

A: Introduction :

Q: Self-Assessment: Task 4: Equation of a Circle by Completing the Square. 4. What are the coordinates…

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Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

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A: Given: A whispering room is an elliptical room where people can whisper to each other over great…

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A: Here, the vertex is located at the lowest point of the cable. Let us take the horizontal line…

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Q: A round trampoline is located in a rectangular back yard. The shape of the trampoline is modeled by…

A: (x+2)2+(y-3)2=49

Q: Completing the square is needed to rewrite the general equation of the circle into the standard form…

A: The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is…

Q: Use the completing the square procedure to rewrite the given equation in a center-radius form and…

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Q: Find the equation of the parabolic arch formed in the foundation of the bridge shown. (Write the…

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Q: Consider the equation y = 3x + 48x + 180 • You must enter all of your answers as points. • Use…

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Q: Use a graphing utility to graph the parabola y2 + 2y - 6x + 13 = 0. Write the given equation as a…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 5. Put the following equation into standard form, classify it as a circle, ellipse, hyperbola, or…

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Q: A seagull sits atop a cliff and spies a fish under the water. To catch the fish, the seagull dives…

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A: The Equation represents  an ellipsoid

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Q: Consider the equation y = 2x - 32x + 120 • You must enter all of your answers as points. • Use…

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Q: In a suspension bridge the shape of the suspension cables is parabolic. The bridge shown in the…

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Q: y = -4x2 + 6x – y = = -x2 + x – 3 What is the sum of the abscissa of the intersection points of the…

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Q: Write an equation of the parabola that passes through the points in the table. -2 24 6 3 9 31 An…

A: -1,24     Sol:-        Solving the equations, Basic equ. of parabola,               y=ax2+bx+c  →…

Q: Suppose a golf ball is driven so that it travels a distance of 400 feet as measured along the ground…

A: Given that       A golf ball is driven so that it travels a distance of 400 feet as measured along…

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Q: Which of the equations below also represents the parabola y=−3x^2−18x+16? (options in image)

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Q: 10. Complete the completing the square method on the equation below to find the center and radius of…

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Q: One of the three quadratic equations below is the equation of a parabola whose vertex is the origin.…

A: The general equation of parabola with vertex (0,0) is of the form: y2 = 4ax or y2 = -4ax or x2 = 4ay…

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Q: Complete the square and write the given equation in standard form. Then give the center and radius…

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Q: Consider the equation y = 3x² – 36x + 96 • You must enter all of your answers as points. • Use…

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Q: 50 ft 100 ft,

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Q: x2 + y2 + 8x – 2y-8 = 0 Write the equation in standard form for a circle. Identify center, radius,…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given equation of the parabola is,x = y2 − 2y – 15