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. (Round your answers to the nearest hundredth.) y = 5 - x2

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

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Q: The general form of an parabola is 2x-12z-3y+12 0. What is the standard form of the parabola? Enter…

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Q: find the coordinates of the vertex for the parabola defined by the given quadratic function  f(x)=…

A: At the vertex x= -b/(2a)  We compare f(x)= -x^2-4x+10 with f(x)= ax^2+bx+c  a=-1 , b=-4 and c=10

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

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Q: Find the vertex of the parabola. f(x) = 2x + 16x + 39 (х, у) %3

A: We have to find vertex

Q: Write the equation of the parabola that has the same shape as f(x) = - 6x? but with vertex ( - 5,3)…

A: In this question we have to write the equation of the parabola that has the same shape as f(x)=-6x2…

Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

A: NOTE: Refresh your page if you can't see any equations. . width of the rectangle is  and the length…

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 given by the equation x2 = 20 V is

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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: Draw the parabola y=7-x^2.

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: Nhat is the equation of the family of parabolas with vertex and focus on the y-axis? A (y-k)² = ±…

A: A parabola is an equation of curve in which a point on the curve is equidistant from a fixed point…

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

A: Topic = Application of Derivative

Q: Find the vertex of the given parabola. Give all values correct to 3 decimal places. y = 7x2 - 8x +…

A: A detailed solution is given below

Q: 25. What are the coordinates of the vertex of the parabola given the function f(x) = x2 + 8x-3 %D

A: f(x) = x2+8x-3 From the above equation we can see that the highest power of y is 1 and x is 2. This…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Equation of parabola: f(x)=a(x-h)2+k Where (h, k) is the vertex of parabola.

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: The general form of an parabola is 2x2 – 12x – 3y + 12 = 0. - What is the standard form of the…

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Q: D. Determine the equation of the quadratic given its graph. 1. {4, 6} x=4 & x=6 or

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Q: What is the maximum area of a rectangle that is above the X- axis and below the graph of the…

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Q: find the vertex of the parabola. y=-3x2+10

A: Given equation : y=-3x2+10compare with y=ax2+bx+ca=-3b=0c=10

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: 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 equation of the parabola graphed below. 4 3 1 -> 1 2 3 5 7 4.

A: Given: Parabola graph is given.   Vertax (h,k) : ( 4 , 1)     Point : ( 3 , 2)

Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

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Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

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Q: 2. The murderer's height, in inches, is equal to the y-intercept of a parabola with roots of -2 and…

A: The roots of the parabola are -2 and -32. The murderer's height is equal to the y-intercept of a…

Q: Determine the equation of the parabola graphed below. 5 4 3 1 1 2 3 4 6. 7 Provide your answer…

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Q: the length of the latus rectum of the parabola 4y=x^2-6x+21 is

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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=6-x² What is the…

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Q: the value of a in y=ax^2+bx+c and the vertex of the parabola are given. how many x-intercepts does…

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Q: Given the general form of a parabola x2+8x-28y+10=0, what is the y coordinate the vertex? k=_____.…

A: Given that the general form of a parabola is x2+8x-28y+10=0 . Here we have to find the y coordinate…

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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: Write the equation of the parabola that has the same shape as f(x) = - 9x but with vertex (2,7) in…

A: Given, y=g(x)= -9x² Therefore, a=-9

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+4x-5. If there is…

A: The given parabola is: y=x2+4x-5...(1)

Q: A rectangle is inscribed with its base on the ?x-axis and its upper corners on the parabola y=2−x^2.…

A: Given, The equation of the parabola is y=2-x2

Q: 2. Find the dimensions of the rectangle of largest area that has its base of the x-axis and its…

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Q: The revenue from selling x units of a product is given by y = -0.0002x2 + 20x. How many units must…

A: We have to find how many units must be sold in order to have the greatest revenue.

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

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Q: Consider the parabola given by the equation: f(x) = - 4x – 12x - 7 |

A: Given: fx=-4x2-12x-7

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

A: The rectangle has its base on the x-axis and its other two vertices above the x-axis and lying on…

Q: 01 Write the equation of the parabola that intersects the X-axis at (-2,0) and (4. 0) in…

A: Solution: The objective is to write the equation of parabola that intersect the given points

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

A: Consider the function:

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 with its base on the x-axis and its upper corners on the parabola y=7−x^2…

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

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Q: 4 3 1 -3 -2 -1 0 1 2 3 4 -1

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