Find the standard equation of the sphere with the given characteristics. Center: (−1, −5, 4) Radius: 9

Q: 5. Write the general equation of the circle with center (5, 0) and radius 3v2. 6. Find the center…

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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: What is the center and radius of the circle? (x-2)2 +y? = 25 %3D The center of the circle is. (Type…

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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: The equation of a circle in general form is z+y+z- 6y-2 0. What are the coordinates of the center of…

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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: -9 = -y²- x2

A: A circle is the locus of points in two-dimensional space which are equidistant from a fixed point.…

Q: Find the centre and radius of the sphere determined by the equation x² + y? +(: -1 = 4

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Q: The equation of a circle is given by (x + 3)² + (y – 2)² = 9. Find the coordinates of the center of…

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Q: The equation of a circle is given below. (x + 9)2 + (y- 46)² = 123 What is its center?

A: Given:     The equation of a circle is x+92+y-462=123 ...(1)     Equation of circle is x-h2+y-k2=r2…

Q: A circle has the equation (x + 5)2 + (y- 2)2 = 9. What is the center of the circle? %3D

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

A: Introduction :

Q: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] 3x2 + 3y2 +…

A: Given, equation is, 3x2+3y2+3z2+6x-6y=3.   The objective is to find the radius and center of sphere.…

Q: 2 2 3D1 30 95

A: The solution are next step..

Q: Find the radius and center of the sphere. (Hint: Complete the square in each variable.] 3x2 + 3y? +…

A: topic - center and radius of sphere

Q: The area of the ellipse in the figure is three times the area of the circle. What is the length of…

A: Known facts: Area of ellipse is A=πab where a is length of semi-major axis and b is length of…

Q: What is the center and radius of the circle? (x-1)2 +y 36 %3D The center of the circle is (Type an…

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Q: Find the center and radius of a sphere given by equation 3x +3y² +3z? =10+6y+12z.

A: We have to find

Q: Find an equation of a sphere if one of its diameters has endpoints (5, 0, 6) and (7, 4, 8).

A: Solution of the problem as follows

Q: d the coordinates of the center and the measure of the radius for a circle whose equ

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: The town of Santa Ignacia is located about 20km west and 16km north of Tarlac National High School.…

A: The town of Santa Ignacia is located about 20 km west and 16 km north of Tarlac National High…

Q: Using the given equation, identify the center and the measure of the radius, the graph in the sketch…

A: Compare this  x² + y² = 16  equation with (x - h)2+ (y - k)2 = r2 Where ( h , k) is the centre and r…

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: 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: Describe and sketch the surface in R3 represented by the equation x+y = 2.

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Q: x² +y? + z² + 8x – y + 5z = 2

A: solution

Q: Write the equation for a sphere centered at the point (6, 1, - 3) and has the point (10, - 2, -8).

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Q: Find the standard equation of the sphere that has the point (-3, - 6, 0) and (3, 4, 5) as endpoints…

A: Given : The point (-3, -6, 0) and (3, 4, 5) as endpoints of a diameter of sphere.

Q: Determine graphically the coordinates of the vertices of the triangle, the equation of whose sides…

A: Given the equations of sides of the triangle are

Q: A) What is the standard equation of the circle with a Center (0,0) and a radius of 9? (x-h) ^2+…

A: A) What is the standard equation of the circle with a center (0,0) and a radius of 9? Standard…

Q: Find the vertex, focus, directrix, and axis of symmetry of (y– 1)²=6(x+5)

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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: Write the equation of the sphere if (3, 4, 7) and ( - 5, 6, – 3) are the end points of a diamter of…

A: (3,4,7) and (-5,6,-3) are the end points of the diameter of a sphere.

Q: Write the standard form of the equation of the circle with the given center and radius : Center (0,…

A: we have to write the standard form of the equation of the circle with given center and radius…

Q: The equation of a circle is given by (x+ 4)² + (y+ 1)² = 36. Find the coordinates of the center of…

A: Given: x+42 +y+12 = 36 To find: The coordinates of center of given circle.

Q: The equation of a circle is given below. Identify the center 53 2x-16x+2y+ 10y=-· 2

A: The equation of the circle is given by 2x2-16x+2y2+10y = -532 To evaluate : The center of the…

Q: Write the standard form of the equation of the circle described below. 1 Center - 1 r= 8 9 2 The…

A: The detailed solution is as follows below:

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: Describe and sketch the surface in ℝ3 represented by the equation x + y = 2.

A: The graph is a vertical plane ( that is, perpendicular to the xy-plane) that intersects    the…

Q: Find the centre and radius of the sphere determined by the equation x'+y* +(:-2)° =: 25

A: Given that sphere equation is - X2 + Y2 + (Z - 2)2 = 25 And we find radius and centre of the sphere.…

Q: A) What is the standard equation of the circle with a Center (0,0) and a radius of 9? (x-h) ^2 + (y–…

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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: Write the standard form of the equation of the circle with the given center and radius. Center…

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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:…

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given equation of the parabola is,x = y2 − 2y – 15