A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 4 –- 2°. What are the dimensions of such a rectangle with the greatest possible area? Width = Height =

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: A rope bridge crosses a ravine that is 100 feet wide. The bridge drops down from the edge to a low…

A: Given that the equation of the bridge is: y=1250(x-50)2-10  If I am 30 ft from the left end, then…

Q: a) Create an equation in factored form that satisfies the following: • has an odd degree; • has…

A: We have to create an equation of the form fx=x-ax-b…x-n where a, b, c, …, n∈ℚ. We are given various…

Q: What is the value of the discriminant for this quadratic: + 4 = y 4 O 16 O-4 August

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Q: Complete the square to write each in vertex form. Then identify the vertex. 1. a. f(x) = x² - 8x +…

A: Please see the below picture for detailed solution.

Q: Find the vertex of the parabola answer must be an ordered pair F(x)=2x2-8x+3

A: We will find the vertex by comparing with standard form of quadratic parabola.

Q: Find two negative numbers, x and y, whose product is 728and whose sum is a maximum. Number y =…

A: We have to find two negative numbers x and y whose product is 728 and its sum is maximum.

Q: 12. (-2, 13), (1,-17), (7, 31)

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Q: Determine the type of the quadrilateral of this equation, for every a belongs to Real numbers 2x² -…

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Q: Football player kicks a football held  50 cm above the ground.  football reaches a max height of 30…

A: y = a(x-t) (x-5)   Hence,               y=30-0.5…

Q: A rectangle has the base on x-axis and its upper vertices ile on the parabola y-21-x². The largest…

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Q: My question is, A family of quartic functions have zeros of 3 (degree 2), 5/4 and -3/2. a) Write the…

A: (A) It is given that the quadratic equation has zeros  of 3 (degree 2), 54,-32. That is, the…

Q: A parabola has a vertex at (4,-11) and runs through the point (8,-123). Determine the equation for…

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Q: A parabola has zeros at -6 and 10. Its vertex is located at (2, 16). Determine the equation of the…

A: The detailed solution is as follows below:

Q: The south side of a bridge forms a parabolic arch. The arch is 8m wide and it’s center is 6m above…

A:

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola…

A: Given that a rectangle is constructed with its base on the x-axis and two of its vertices on the…