1. Transform the general equation of the circle x² + y² + 8x - 2y - 8 =0 into its standard form and sketch the graph

Q: . Reduce the general equation of the circle 8x + x2 - 2y + y2 = 64.  2. Determine the opening,…

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Q: Write the standard form of the equation of the circle given x2 - 6x + y2 + 8y + 12 = 36

A: To rewrite the given equation to the standard equation of the circle (x-a)^2+(y-b)^2 =r^2, center…

Q: 1. Find the center and radius for each equation of a circle. (x+ 5)2 + (y - 1)2 = 49 %3D Center (

A: Solution; Consider the given equation of the circle: x+52 + y-12 = 49 Comparing the given equation…

Q: Write the standard form of the equation of the circle with the given center and radius. (10, 0); 2

A: Given center (h,k)=(10, 0)  radius, r= 2

Q: Find the equation of a circle whose center is at (4,2) and tangent to the circle x² + y? – 8x – 6y+…

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Q: 12 Write an equation for circle O shown on the graph below. 5=6 Center (-1,2) EQ=15 x = (-1) ²…

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Q: 3. Determine the equation of the line that passes thru Pi(4,-8) and P2(0, %).

A: The given points are 4,-8 and 0,34

Q: Find the equation of the circle that passes through the points (10,2), (9,-3), given that its center…

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Q: 5 yd *** 14 yd

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Q: Write the standard equation of a circle with the center at (-1, -4) that passes through the point…

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Q: Find an equation of the circle that satisfies the given condition: The circle that contains the…

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Q: (2– 1)° + (y+ 3)² = 16- Which graph shows the circle whose equation is %3D

A: General form of equation of a circle with center (h, k) and radius r is,             (x—h)2 + (y—k)2…

Q: b) Express the equation of a circle 3x2 +3y2 + 42x = 12y - 111 in standard form. Then, identify and…

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Q: The general equation for a circle is a(x? + y*) + bx + cy + d = 0. There is exactly one circle…

A: a=1, b=-7 c=-9 d=0

Q: Find the equation of the circle given by 3x² + 3y² + 6x - 9y =2

A: Divide the equation 3x2+3y2+6x-9y-2=0 by 3 on both the sides by 3 to simplify the equation and get…

Q: The graph of the equation  (x − 4)2 + (y − 2)2 = 9  is a circle with center  (x, y) =    and…

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Q: 5. Find the center and radius of the circle with equation (x + 1)² + (y - 3)² =9. Then graph the…

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