(a) find the center 1h, k2 and radius r of each circle; (b) graph each circle; (c) find the intercepts, if any.   x2 + y2 - x + 2y + 1 = 0

Q: Find the equation of a circle whose center is at (4, 1) and tangent to the circle x² + y2 -8x-6y +9…

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Q: (a) find the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the…

A: The given equation is: x2+y2+4x-4y-1=0 The standard form of the equation is: x-h2+y-k2=r2    -1…

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: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given equation is x=3y+4. To sketch the graph of the equation and label the x-intercept and…

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: Graph the lower half of the circle defined by the equation x2 + 2x = 4 + 4y - y2.

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Q: | 1. The circle defined by the equation 3x²+ 3y² + 6x – 9y = 2. Graph: Center of the circle:

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Q: The equation of the graph is y = avx – h+ k , where a= - h= and k=

A: Given the equation of the square root function y=ax-h+kGraph

Q: (a) find the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the…

A: Given equation of circle  2x2+8x+2y2=0 The equation of a circle is given as x-h2+y-k2=r2 where,…

Q: Find the center and radius of each circle, and sketch its graph. (a) x² + y² = 25 (b) (x - 2)? + (y…

A: (a) Consider the given equation as x2+y2=25

Q: Find the equation of a circle whose c x2 +

A: We have to find the equation of circle having a center (4,1)  and tangent to the circle…

Q: In Problem,find the standard form of the equation of the circle whose center and radius are…

A: Given  Center of circle , h,k=3,4 radius of the circle, r=4 The standard form of equation of circle…

Q: (a) find the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the…

A: Given,          x2+y2-x+2y+1=0

Q: For the circle ( x+3)2+(y-2) 2=16 ,find the intercepts,if any,of its graph

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Q: 10. Graph the circle whose equation is x +4x + y - 2y+1=0.

A: 10)  Given: x2+4x+y2-2y+1=0 To find: Graph of the equation

Q: (a) find the center 1h, k2 and radius r of each circle; (b) graph each circle; (c) find the…

A: Given equation of circle is: x2+y2-2x-4y-4=0 Rearranging the terms we get,…

Q: Find the equation of the standard and general circle whose center c (-3,2) and passes through the…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: B. Determine the center and the radius of the circle described by each equation. Then, sketch its…

A: We can answer the question in the below steps.

Q: (a) find the center 1h, k2 and radius r of each circle; (b) graph each circle; (c) find the…

A: Given: x2+y2+4x+2y-20=0 We know that for equation of circlex2+y2+2gx+2fy+c=0, centerc and radiusr is…

Q: (a) find the center 1h, k2 and radius r of each circle; (b) graph each circle; (c) find the…

A: (a) find the center (h,k) and radius r of each circle x2 + y2 + 4x - 4y - 1 = 0   x2 + 4x + 4 + y2…

Q: Example 20: Sketch the graph of the equation x + y +2x - 6y +7 =0 by first showing that it…

A:

Q: Find the radius of this circle: x -8x+y² -4y-16=0

A: soluti0n follows as

Q: 18. Sketch the graph of a circle whose equation is x +y² + 10x - 6y = 2.

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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: (a) find the center 1h, k2 and radius r of each circle; (b) graph each circle; (c) find the…

A: Given:2x2+8x+2y2=0 To find: (a) find the center (h,k) and radius r of each circle (b) graph each…

Q: Given the equation of the circle x2 + y2 + 2x + 4y - 20 = 0, find: (a)   The center (h, k) and the…

A: Given the equation of the circle x2+y2+2x+4y-20=0, to find:a The center (h, k) and the radiusb To…

Q: Find the center (h, k) and radius r of the circle with the given equation. 4x2 +4y2 - 12x + 16y - 5…

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Q: (a) find the center 1h, k2 and radius r of each circle; (b) graph each circle; (c) find the…

A: Given :         The equation of circle is  x2 + y2 + x + y - 12 = 0.   To find :  a) The  center…

Q: Sketch the graph of the equation x² + y² + 8 x + 10 y – 7 = 0 by first showing that it represents a…

A: The given of circle is x2+y2+8x+10y-7=0 We know that any equation of second degree…

Q: (a) find the center 1h, k2 and radius r of each circle; (b) graph each circle; (c) find the…

A: Given, 2x-32+2y2=8 Or 2x-32+y2=8x-32+y2=4x-32+y-02=22            ........1

Q: Find the roots, Y intercepts, and maximum or minimum value and sketch the following graphs. Y = x2+…

A: Solving    x2+5x+10 = 0 by the Quadratic Formula . QUADRATIC FORMULA Now ,applying the formula…

Q: find the center and raidus of the circle with equation x2 + y2 - 8x + 10y = -25

A:

Q: Find the center and radius of the circle, and sketch its graph. x2 + y2 = 5

A: Given: x2+y2=5 Calculation: x-a2+y-b2=r2center= a,bradius =r

Q: (a) find the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the…

A: (a) find the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the…

Q: The equation of a family of circles with center on the y-axis is

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Q: (a) find the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the…

A: It is given that,      x2 + y2 - 2x - 4y - 4 = 0 (a) find the center (h, k) and radius r of each…

Q: Find the center and radius of the circle x2 + y2 + 4x - 6y - 3 = 0.

A: Solution:-  The equation of the circle is  x2+y2+4x-6y-3=0

Q: Find the equation of the circle with center on the y-axis and has y-intercepts at 7 and 1.

A:

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: (a) find the center 1h, k2 and radius r of each circle; (b) graph each circle; (c) find the…

A: Given equation of the circle is: 2x2+2y2-12x+8y-24=0 Cancelling out the common factor 2 we get,…

Q: (a) find the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the…

A: Given: x2+y2-6x+2y+9 = 0 To find: (a) Center (h, k) and radius r of circle (b) Graph of circle (c)…

Q: (a) find the center 1h, k2 and radius r of each circle; (b) graph each circle; (c) find the…

A: 3x2+3y2-12y=0

Q: For the circle (x + 5)² + (y − 4)² = 49, find the intercepts, if any, of its graph.

A: Given equation is x+52+y-42=49.........(1) We know that the equation of circle is, x-h2+y-k2=a2…

Q: Find the equation of the circle passing through this point (5,1), (3,-1) with the centre on the…

A: Consider that the circle passes through point (5,1) and (3,-1) with center on y-axis.   The equation…

Q: X N y

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Q: Given the circle x^2 +y^2=25 and point P(x1,y1)on the circle, find the equation of the line in…

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Q: Find the center and radius of the circle x2+y2-2x-18y+1=0

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Q: State the curve domain and coordinates of the point where the curve cross es the n-axis y: In (2x…

A: Given y= ln(2x - 5)  The domain of a function is the complete set of possible values of the…

Q: The graphs of y = x² – 5x – 4 and y = 8+3x – x² intersects at points in what quadrants?

A: From the given two equations substitute the value of y from the equation y=x2-5x-4 in the equation…

Q: Find the equation of the general circle that touches the axes of the two points (-0.3,0) , (0,0.3)

A: Equation of circle