Answer the following questions about the sphere whose equation is given by 1 + y + 2 - 6r + 4y = 36| %3D 1. Find the radius of the sphere. Radius: r= 2. Find the center of the sphere. Write the center as a point (a, b, c) where al i and dare numbers. Center:

Q: Find an equation or inequality that describes the following objects. A sphere with center (1, 2, 3)…

A: Given that  center =(h,k,i)=(1, 2, 3) and radius r=4

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Q: Direction is provided for the sphere problem

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Q: #5 What are the coordinates of A' if the figure is reflected across the y axis? B D а) (2,3) b)…

A: The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point.

Q: Write the equation with rectangular coordina r = 6cose O x?-y? = 6x %3D O x2+y? = 6x %3D O x²+y² =…

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Q: • Which of the following equations has a graph of a sphere? a. x2 + y? + 2² +x + y+ z + 3 = 0 b. x?…

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Q: What is an equation of a circle whose center is (1,4) and diameter is 10?   Question options:   x2…

A: What is an equation of a circle whose center is (1,4) and diameter is 10?

Q: Complete the square to write the following equation as standard equation of a sphere and find center…

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Q: Mr. Brady asked Rachel to come to the board and draw a circle on a coordinate plane defined by the…

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Q: Show that the given equation represents a sphere and find its center and radius x² + y2 + z? + ax +…

A: The given equation is x2+y2+z2+ax+by+cz+d=0. The general equation of a sphere with center h,k,n and…

Q: Which equation represents a circle with center (1, -3) and radius of 16 units? O (x+1)2 + (y-3)2 =…

A: The solution is :

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Q: Write an equation of a circle whose center is (0,0) and radius is 5 O 2² + y? 25 O (z) + (y – V5)? =…

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Q: 3. Find the coordinates of the center and the measure of the radius for a circle whose equation is…

A: our objective is to find centre radius and diameter of given circle.

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

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

Q: x² + + =1 y2 9. 4

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Q: 2 2 3D1 30 95

A: The solution are next step..

Q: Complete the square to write the following equation in the standard form for a sphere. x²+y²…

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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

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A: If point x,y on the line and it is corner of the rectangle. Then, area of rectangle=xy But we have…

Q: Determine the value of x and y in the isosceles trapezoid. x + 2 Зу 8 5y - 2 3x + 4

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Q: Write the equation for a sphere centered at the point (7, – 1, – 5) and has the point (6, – 8, – 9).

A: *** This is the problem related to Analytical geometry 3D and we are advanced math expert and have…

Q: The ordered pair that satisfies the following simultaneous equations is 2х + Зу %3D 1, . 10. 3x - y…

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Q: The center of the geometric figure described by 16x^2-160x+36y+292=0 is at what point?

A: We have the given function as 16x2-160x+36y+292=0 On solving further by using completing the square…

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

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Q: Find the center and radius of the sphere with equation (r – 1)? + (y + 4)² + (z+ 6)² = 16 %3D…

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

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Q: what is the equation of the circle if it has a center at (6,0) and diameter equal to 12 units?

A: To find the equation of the circle if center is at (6,0) and diameter equal to 12 units. Solution:…

Q: Which equation represents a circle whose center is located at (-6, 2) and whose radius is /10 units?…

A: Given center of circle (h,k)=(-6,2) radius of circle=10 To evaluate equation of circle

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A: If any point (x,y) is reflected over the x-axis then the coordinates of the reflected point will be…

Q: 5. The equation x² + y? + 2 y +z2 - 2 z = 0 is a sphere. Determine its center and radius.

A: Follow next step

Q: What can you conclude about the picture? You may assume that A is the center of the circle. C A E a…

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Q: Determine whether the following equation represents a sphere.

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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: On the lacrosse field, the circular region around the net, called the crease, is an area that only…

A: Concept : equation of circle with center xo,yo and radius r is (x-xo)2+(y-yo)2 =r2 the crease can be…

Q: m/B = 44.5° and mLW = 140°. Find mMU. %3D %3D

A: it is given that,  m∠B=44.5∘ and mLW⏜=140∘we have to find mMU⏜=?

Q: The equation a? + y? = 9 in 3-space is circle. Select one: OTrue OFalse

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Q: The signal of Micha's Wi-Fi router covers a circular area, whose border is modeled by the equation…

A: Given the signal of Micha's Wi-Fi router covers a circular area, whose border is modeled by the…

Q: 4a. x +4y? +9z? = 36 Name of the surface Y

A: Given:  x2+4y2+9z2=36

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…

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Q: What is the axis of symmetry of y=z² - 5z? O z= 2 O z= O z= O z= 2 5 52 12

A: To find the axis of symmetry.

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A: When we rotate the given equation around y axis, we got hyperboloid:

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Q: The equation of circle A is (x + 5)2 + (y - 1)2 = 9. What is the radius and center of circle A?

A: x+52+y-12=9⇒x--52+y-12=32 Now comparing with x-h2+y-k2=r2, we get h=-5,  k=1  &  r=3

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Q: On which axis does the center of the circle x2 + y2 - 8y + 7 = 0 lie? Defend your answer.

A: We know, the equation of a circle in standard form is given by: (x-h)2+(y-k)2=r2 Where,(h,k) is…

Q: Find an equation of the sphere whose diameter is the line segment having endpoints at (6,2, –5)

A: To find the equation of sphere.