Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola. y = 7 - x2 width units height units

Q: Complete the square to determine if the equation is a circle, quadratic (parabola) or other. Show…

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Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

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Q: A rectangle is inscribed in a parabola y^2 = 16x with the side of the rectangle along the latus…

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Q: Find the longer dimension of the rectangle enclosed in a semicircle y=V144- x2 with the largest…

A: Suppose the dimension of the rectangle is x & y. Now, the height of the rectangle should be…

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x+12x+4 Vertex Form:…

A: Given quadratic equation in vertex form and find coordinate of this vertex. y = x2 + 12x + 4

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 10x + 9 Vertex…

A: Given: y=x2-10x+9

Q: nd an equation of a sphere if one of its diameters has endpoints (54.

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Q: Find the coordinates of the vertex of the following parabola usin technology. Write your answer as…

A: given parabola is                                                  y=4x2-48x+128 we have to find…

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x´ + 12x + 20 Vertex…

A: The given quadratic equation is  y = x2 + 12x + 20

Q: Find the largest area possible for a rectangle inscribed between the parabola y = 9 – x² and the x-…

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Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: The parabola is y=6-x2

Q: The vertex of the parabola y = 5x? – 40x + 83

A: Given,         y=5x2-40x+83We know that,        The vertex of the parabola y=ax2+bx+c is given by…

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: We need to find length and width.

Q: 18. A) Complete the square for y = 2x² − 12x – 14 B) Determine the coordinates of the vertex. Is it…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 10 –…

A: The rectangle has its base on the x axis, with the length of the base 2x, and height of the…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x2-2x-15.

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Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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Q: Graph the parabola and find its vertex and the axis of the parabola y =x2 - 6x + 7

A: y=x2-6x+7

Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y = 7…

A: here the width of the rectangle is  w=2x and the right is l=7-x2

Q: + 6x + 4y + 5

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Q: enclosed betw parabola y = x2

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Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: Compare with standard equation of parabola and then solve it.

Q: The vertex of the parabola given by the equation x² = 20 y is O A. (0,0) В. (4,5) С. (0,5) D. (4,0)

A: Here we have given that the parabola is x2=20y

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 14x + 47 2…

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Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: Determine the number that completes the square when writing the equation in the vertex form of a…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 25 -…

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Q: III. Transform the equation of the parabola to the standard vertex form by completing the square.…

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Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

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Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = -x2 + 4x

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Q: Find the vertex of the parabola by applying the vertex formula. f (x)=4x² – 56x+ 84

A: Given: f(x)=4x2 - 56x + 84 The vertex of an up-down facing parabola of the form  y=ax2+bx+c is…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+8x+12. If there is…

A: The required solution is

Q: Find the vertex of the parabola by applying the vertex formula. 2. f(x) = 4x - 16x +3 The vertex is…

A: We can find the vertex as below

Q: Find the longer dimension of the rectangle enclosed in a semicircle y=V144 - x2 with the largest…

A: Solution is here

Q: How long is the latus rectum of the parabola y? + 3x – 12 = 0? O 12 6. 3. 3/4

A: Converting the equation to standard form

Q: Find an equation for the parabola that has a vertical axis and passes through the given points.P(2,…

A: Parabola that has a vertical axis passes through the points P2, 5,  Q-2, -3  &  R1, 6. The…

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: We will find out the required value.

Q: The vertex of the parabola given by the equation x2 = 20 y is (0,0) O (4,5) O (0,5) (4,0)

A: Kindly post other question as separate one.

Q: Find the longer dimension of the rectangle enclosed in a semicircle y=V144- x2 with the largest…

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Q: 6. Find the vertex of the parabola f(x) = 4x² – 64x + 107 (You must use either the vertex formula or…

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Q: Find the longer dimension of the rectangle enclosed in a semicircle y=V144- x2 with the largest…

A: Area of rectangle = length*width

Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

A:

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x? – 20x + 50 -…

A: Given quadratic function is                                                        y=x2-20x+50…

Q: A rectangle sitting on the x-axis has its upper two vertices on the parabola y 9. 12x2. Find the…

A: To calculate the largest possible area of the rectangle. If the rectangle is sitting on the x-axis…

Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = 1/2 x2 + x + 4

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Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x? – 4x + 22 Vertex…

A: Given: The quadratic equation y = x2 -4x +22 To put: The given quadratic into vertex form and to…

Q: Find the vertex and length of the latus rectum for the parabola. y = (x - 2)2 - 9 Vertex: (x, y) = (…

A: Topic = Parabola

Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and (-10,…

A: Here it is given that vertex of the parabola is (0,0) and y-axis as its axis,