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

Q: Show that the equation represents a sphere, and find its center and radius: x? + y? + z2 – 2x – 4y +…

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Q: Find the center C and radius r of the circle defined by the equation: x+y+12x-2y-3%3D0.

A: Compare the given equation of circle to the standard form of equation and than determine centre and…

Q: What is the center of the circle described by the equation x² - 6x + y2 + 2y +1 = 0 ? %3|

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

Q: Find the coordinates of the centre and the radius of the circle described by the ollowing equation:…

A: Follow the procedure given below.

Q: Write the equation of the circle in standard form. x2 + y2 + 6x − 4y − 12 = 0

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Q: Determine the center and radius of a circle, given this equation. x2 + 4x + y? + 20y = – 4 Center:…

A: We solve this equation in standard form So (x +2) ^ 2 + (y + 10) ^ 2 = 100 So radius = √100 = 10…

Q: Find the center and radius of the circle whose general equation is x? – 2x + y² + 2y = 2.

A: Given general equation of the circle is x2-2x+y2+2y=2. The equation of a circle in standard form is…

Q: c) Write the equation of the circle 4x? + 4y? + 4x – 16y – 20 = 0 in standard form. Hence, determine…

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Q: Identify the surface with equation 9r? - 4y? + 16z? - 144 = 0. %3D

A: Given the equation : 9x2-4y2+16z2-144=0 We know Equation of hyperboloid of one sheet:…

Q: Complete the square and write the equation of the circle in standard form. x2 + y2 + 10x − 10y + 41…

A: Given: the equation

Q: Find the radius of the circle given by the equation: x2+4x+y2−12y=24

A: Consider the given circle equation.

Q: The equation x2 + y² + 8x + 6y = 2 describes a circle. Complete the square to find the center of the…

A: The general equation of circle is given by- x-h2+y-k2=r2 Where h,k is the center of the circle and,…

Q: Change this equation in to circle graphing form, showing work: x² – 10x + y? + 4y – 11 = 41

A:

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 the center and radius of the circle by completing the square 2 x + y + 4x – 6y + 9 = 0 - Center…

A:

Q: Write the equation of the circle in standard form: x2 – 6x + y² + 10y = –8.

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Q: Find the center and the radius of the circle with the equation  X2+8x+y2+8y-68=0

A: This question is related to the circle general equation.

Q: Which of the following correctly depicts the sphere given by the equation: x2 + (y - 2)2 + (z - 2)2…

A: Given: x2 + (y - 2)2 + (z - 2)2 = 4

Q: The equation of the circle is X +Y² = 11 what is the center of this circle

A: Given equation is a standard form of equation of circle

Q: Find the center and radius of the circle defined by the equation: x² + y? + 8x – 2y + 8 = 0

A:

Q: Write the equation of the circle in standard form. x2 + y2 − 8x + 6y + 9 = 0

A: The given equation is,

Q: Complete the squares in order to write the equation of the circle. Then identify the coordinates of…

A: Given,           x2+y2+32x-20y+352=0We know that,         The equation of the circle with center,…

Q: What is the centre and radius of the circle represented by the following equation: x^2 + 12x + y^2…

A:

Q: Find the coordinates & radius of the circle by completing the square. Equation of circle P: x2 +…

A: to find the center and radius

Q: find the center and the length of a radius of each circle. x2 + y2 - 16x + 30y = 0

A: Given: x2+y2-16x+30y=0

Q: Find the radius and center of a circle with the equation x2 + y2 + 4x – 8y = 16.

A: Given: Equation of circle x2 + y2 + 4x - 8y = 16 To find out: Radius and center of circle.

Q: find the center and the length of a radius of each circle. x2 + y2 + 4x - 12y + 39 = 0

A:

Q: Find the center and radius of the circle whose equation is x + 8x + y² + 4y – 20 = 0. The center of…

A: Find radius and center of circle :

Q: Find the center and radius of the sphere with equation (æ + 4)? + (y – 4)² + (z + 3)? = 49 Center:…

A:

Q: Find the center and radius of the circle with equation x2 + y2 -8x + 6y = 11

A: We write the circle in standard form first  We write the x terms together and the y terms together.…

Q: What are the coordinates of the center and length of the radius of the circle whose equation is x² +…

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Q: Find the center and the radius of the circle with the equation x2+12x+y2+6y−76=0 Enter the…

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Q: The equation of circle E is given as (*-9)²+(y+ 4) =D81. The coordinates for the center of circle E…

A:

Q: Find the center and radius of the circle whose equation is x² + 10x + y² – 5y + 4 = 0. The center of…

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Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows:

Q: Give the center and radius of the circle represented by the equation. x² +y? - 6x +2y = -9 %3D

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Q: Find the Rectangular equation. X-5cos() and y=53in(6)

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Q: Find an equation of the circle with radius 7 cm and center ( -3,7)

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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: x²+y*+8x -6y + 24= U %3D

A: Explanation and solutions is given below....

Q: find the center and the length of a radius of each circle. x2 + y2 + 6x - 8y = 0

A: The general standard equation of a circle centered at (a,b) of radius r is given by the equation;…

Q: Given the equation of circle ( x – 15 )? + ( y + 8 )² = 289. Which of the following is the…

A: Topic = Circle

Q: Complete the square to find the center and radius: x^2+y^2-20y+19=0

A: We need to evaluate the center and the radius of the following circle by completing the square…

Q: Find the center and radius of the circle with equation  x2 +y 2 - 6x +10 y +9 =0

A: Given: x2+y2- 6x+10 y+9 =0

Q: Find the center C and radius r of the circle defined by the equation: x+y+12x-2y-33D0.

A: From the given problem:   x2+y2+12x-2y-3=0   As we know that the equation of a circle:…

Q: center (-3, 2); r = V10

A: we have to insert given values in the standar

Q: ind the center and radius of the circle with equation: x² +y° + 2x + 17y – 63 = 0

A: center and radius of circle..

Q: Find the center and radius of the circle with equation x2 + y2 -2x + 4y - 11 = 0

A: Given equation of the circle is

Q: Given the equation (x + 3)² + (y – 6)² = 9, does the point (0,6) lie inside, outside or on the…

A: To find whether the point (0,6) lies inside or outside the circle

Q: Determine the centre and radius of the circle with equation r2 + 2x +y – 4y = 4.

A: The given equation of the circle is x2+2x+y2-4y=4 To find: 1) Center of the circle               2)…