Use the equation of ellipse to determine if a truck can fit through a semi-elliptical archway. The archway has a width of 40 feet and a height of 10 feet at the center. The truck is 9 feet high and 12 feet wide. 40 ft 10 ft 12 40

Q: Find the length of the directrix of an ellipse x2/16 + y2/9 = 1

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Q: Put the equation of the ellipse in standard form by completing the squqte. 5x2 + 3y2 + 10x + 24y –…

A: This question can be solved using the concept of standard equation of ellipse.

Q: Write an equation in standard form for the ellipse given by the equation 9x^2 + y^2−36 =0.

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Q: Find the standard form of the equation of the ellipse and give the location of its foci.

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Q: find the length of the major axis and the length of the minor axis of each ellipse. 4x2 + 25y2 = 100

A: To find the length of the major axis and the length of the minor axis of each ellipse.         4x2 +…

Q: 1. 49x2 + 25y? + 98x + 50y - 1131 = 0.

A: We will find all the above as shown below

Q: Rewrite the equation of the ellipse 9x2 + 4y? + 36x – 24y + 36 = 0 in standard form and identify the

A: The standard equation of an ellipse with the center at (h,k), and the major and the minor axes being…

Q: Write the equation of the ellipse in standard rectangular form that has foci at ( 2 , − 2 ) a n d (…

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Q: Convert the equation 36x2 + 9y2 - 216x = 0 to standard form by completing the square on x and y.…

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Q: John is planning to build an arched trellis for the entrance to his botanical garden. The arch is to…

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Q: Find the vertices, foci and eccentricity of the ellipse: x^2+4y^2=16

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Q: find the length of the major axis and the length of the minor axis of each ellipse. 16x2 - 32x + 9y2…

A: Given, 16x2-32x+9y2-54y-47=0 we know general form of ellips is x-h2a2+y-k2b2=1 now convert equation…

Q: Find the standard equation of an ellipse and sketch ( x-3)²/4 + (y+1)²/9=1

A: Standard form of an ellipse with center (h, k) and major axis is parallel to y axis :…

Q: Draw the ellipse with the equation: 2x2 + y² + 4x – 9y = 7.

A: First convert this equation in standard form.…

Q: For Exercise, find the standard form of the equation of the ellipse or hyperbola shown.

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Q: 27x2 + 9y2 - 81 = 0 %3D

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Q: find the length of the major axis and the length of the minor axis of each ellipse. x2 - 4x + 9y2 +…

A: Given equation of ellipse is: x2 - 4x + 9y2 + 54y + 76 = 0 Then rearranging the terms we get,…

Q: Graph the ellipse and give the location of its foci.

A: Consider the provided ellipse, x225+y-2236=1 Graph the ellipse and give the location of its foci. We…

Q: Find the foci and vertices of the ellipse. x^2/36+y^2/9=1

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Q: An ellipse is given by the equation 8x²+2y²=32. Find the center, major and minor radius.

A: Given: 8x2+2y2=32 For finding center, major and minor radius we convert given equation of ellipse in…

Q: The area of the ellipse of b? 2 + = 1 is 32π. If a=2b, what is the value b2

A: Given that the standard question of ellipse and area of the ellipse is 32(pai) where a=2b  To find…

Q: find the length of the major axis and the length of the minor axis of each ellipse. 2x2 + 7y2 = 28

A: Ellipse is basically a plane curve around 2 focal points such that for all points on the curve, the…

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +-square root…

A: Foci:  F(0, ±10), vertices (0, ±7)We know that equaton of ellipse is x2a2+y2b2=1  (a<b)Here focus…

Q: Graph the ellipse, noting center, vertices, and foci. 2x2 + 3y2 – 12x + 12y + 6 = 0

A: The given equation of the ellipse is: 2x2+2y2-12x+12y+6=0 That can be written as:…

Q: Find the equation of the ellipse in general form given the conditions: The foci is 3 units to the…

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Q: An elliptical garden is surrounded by stone walkway as shown below. Find the equation of the ellipse…

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Q: Graph the ellipse and give the location of its foci.

A: Given equation of the ellipse is: x-229+y-124=1 To graph the ellipse and the locate the foci.…

Q: Translated to the right 6 units

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Q: (x-3)² (v-2)² X : 1 25 9.

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Q: Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and…

A: The equation of ellipse is given as , x216+y264=1 find coordinates of center , vertices ,…

Q: Graph the ellipse and locate the foci.

A: To graph the given ellipse equation x+129+y-2216=1

Q: Sketch the ellipse, and label the foci, the vertices, and ends of the minor axis. 25(x+4)? + 4(y-1)²…

A: 25x+42+4y-12=100⇒25x+42+4y-12100=1⇒25x+42100+4y-12100=1⇒x+424+y-1225=1⇒x--4222+y-1252=1 Now…

Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

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Q: Determine whether the graph of the equation is the upper, lower, left, or right half of an ellipse,…

A: Given equation is  x=4525-y2

Q: Graph the ellipse and locate the foci.

A: Given, x236+y225=1

Q: Graph the ellipse and the foci (z-4) +. 25 (v+2) =D1

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Q: What are the endpoints of the major axis and minor axis of the ellipse (- 12 =D1 36

A: Given

Q: 1. Olympic Stadium in Montreal, Canada was constructed in the shape of an ellipse with major and…

A: Major axis = 480 mMinor axis = 280 m

Q: Graph the ellipse and give the location of its foci.

A: Given: (x+2)216+(y−3)2=1

Q: find the length of the major axis and the length of the minor axis of each ellipse. 9x2 + 72x + 4y2…

A: Given- 9x2+72x+4y2-8y+112=0 To Find- The length of the major axis and the length of the minor axis…

Q: Derive the equation of the ellipse b y* =1 a

A: Given: x2b2+y2a2=1

Q: Sketch the ellipse, and label the foci, vertices, and ends of the minor axis. 25x? + y + 25x –36y…

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Q: As viewed from above, a swimming pool has the shape of the ellipse given by x? + 1600 900

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Q: Write the equation of an ellipse, centered at (1,0) that has a vertical major axis that is 12 units…

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Q: Convert the equation to standard form by completing the square on x and y. Then graph the ellipse…

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Q: For the ellipse 25x2-50x+36y-875 0, write the equation in standard form, and identify the…

A: The general form of ellipse equation is as follows- x-h2a2+y-k2b2=1 The center of equation is given…

Q: Find the equation of the ellipse x2 + 9y2 - 4x - 72y + 139 = 0 and locate the coordinates of the…

A: Given the equation of the ellipse, x2+9y2-4x-72y+139=0

Q: Write the standard equation for the ellipse with the following conditions: Foci: (0, 2) and (0, 8)…

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…