Find the standard equation of the sphere with the given characteristics. Center:  (−1, −9, 8) Radius: 8

Q: Describe the yz-intercept of the sphere with the equation x2 + y2+z2 - 2x+ 10z +5 = 0

A: The given equation of sphere is: x2+y2+z2-2x+10z+5=0

Q: Find the center, vertices, foci, and sketch from x -4y2 +6x +16y -11 = 0.

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Q: The original Ferris wheel was built in 1893 byPittsburgh, Pennsylvania, bridge builder George W.…

A: To find the equation

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

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Q: Write the equation of the hyperbola of foci F1(2, −1), F2(2, 4) and focal radius difference equal to…

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Q: Write the equation of the hyperbola centered at ( – 9, – 10). The length of the vertical transverse…

A: Explained below...

Q: Q.1/ a- Find the radius and center of the equation 9x2 + 9y² - 6x - 107 = 36y %3D

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Q: Complete the square to write the equation of the sphere in standard form. Find the center and…

A: On simplification, we get

Q: 59.) Classify the equation as a circle, parabola, ellipse, or hyperbola. 16x -9y +32x+54y-209%30…

A: We have to classify

Q: Find the equation of a sphere if one of its diameters has endpoints (5, 4, 3) and (1, 6, -9)

A: Consider the endpoints of the diameter: (5, 4, 3) and (1, 6, -9) To calculate the diameter of the…

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

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Q: Find an equation of the sphere that passes through the origin and whose center is (9,8,-9). = 0 Note…

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Q: The center and the radius of a sphere is given. Find the equation for the sphere. Center = (1,2,3),…

A: Consider the following center of sphere: x1=1, y1=2, z1=3 Radius of the sphere is 4. r=4 Equation of…

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

A: Introduction :

Q: 45 ft 90 ft

A: Write the equation (in standard form) of the parabolic arch formed in the foundation of the bridge…

Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 9x - 2y +…

A: The given equation of sphere is: x2+y2+z2+9x-2y+10z+23=0

Q: Which equation refers to a hyperbola with the center at the orig x² y² a² = 1 b2

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Q: 3x2 − 6x − 4y + 8 = 0 identify the standard form, vertex, focus, ends of latus rectum, directrix;

A: the solution is following.

Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

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Q: The center of a hyperbola is (-3,2). The length of the conjugate axis is 8 units, and the length of…

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Q: Complete the square to write the equation of the sphere in standard form. Find the center and…

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Q: Write the equation of the hyperbola centered at (-1,9). The length of the vertical transverse axis…

A: Given;  Transverse axis = 11 Conjugate axis =8 Center = (-1,9).

Q: Complete the square to write the equation of the sphere in standard form. Find the center and…

A: 9x2 + 9y2 + 9z2 − 6x + 18y + 1 = 0

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

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Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 5x - 2y +…

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Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: Given: Corners of the reference rectangle: (8, 7), (−6, 7), (8, −3), (−6, −3); Horizontal transverse…

Q: A sphere has a diameter whose endpoints are Pi₁(3, 2, 1) and P₂(-1,-4,-4). Find the equation of the…

A: We will solve the problem

Q: Complete the square to find the center and radius: x^2+y^2+2x+4y-1=0

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Q: Given the points A(-1,1,5) and B(2,5,0): a.) Find AB. b.) Find the equation of the sphere which has…

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Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

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Q: Write the equation of the hyperbola centered at (– 6, – 1). The length of the vertical transverse…

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Q: Find the equation of the sphere

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Q: Express the general form to its standard form and locate the center, vertices, covertices and foci…

A: equation 4x2 - y2 - 32x - 4y + 24 = 0

Q: Find the point on the ellipse x2 + 3y + 2xy = 6 with the greatest x-coordinate. (Use decimal…

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Q: (a) ) Find an equation of the sphere that passes through the point (1, -2,0) and centered at the…

A: According to Bartleby guidelines, we are supposed to do only one question. if you want more to be…

Q: Complete the square to write the equation of the sphere in standard form. Find the center and…

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Q: What are the coordinates of the foci of the hyperbola? (y-1)2 (a+8)2 = 1 9. 16

A: Foci = -8,6 and -8,-4

Q: Find the vertex, focus, and directrix of the parabola. y? – 4y – 2x - 4 = 0

A: The given parabola is  y2 - 4y - 2x - 4 = 0

Q: Write the equation of the hyperbola centered at (1,-4). The length of the vertical transverse axis…

A: General form of equation of a hyperbola with vertical transverse axis is,      (y-k)2a2-(x-h)2b2=1…

Q: For Exercise, write the standard form of an equation of a hyperbola subject to the given…

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Q: Find the centre and radius of the sphere determined by the equation x' +y° +(z - 2) = 16 %3D

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Q: 1. Show that the equation represents a sphere, and find its center and radius. 7 + g +7+% – 8G + He…

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Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: To determine the standard equation of the hyperbola.

Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 5x - 2y +…

A: Given

Q: Given 4x2 + 9z2 = 9,2 (a) Write the equation above in standard form. (b) Identify the surface. (c)…

A: We have to  write the equation in standard form, name the surface, find its axis, sketch the…

Q: Find the vertex, focus, and directrix for the parabola (x−1)2=−8(y−3)

A: Vertex form of parabola :  y = a( x - h)2 + k

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: From the given statement, the corners of the reference rectangle are  (7,6), (-1,6), (7,0), (-1,0)…

Q: How firel the center, foci, vertices and eccentricity for the following equations! x+4y²-4x-8y +4=0…

A: Concept: Ellipse: The equation of the ellipse with center at (h,k)  (x-h)2a2+ (y-k)2b2 =1 Hyperbola:…