A circle has the equation 3(x-2) +3y 3. Find the center (h,k) and radius r and graph the circle. Find the intercepts, if any, of the graph.

Q: Show that the equation represents a circle, and find the center and radius of the circle. x2 + y2 +…

A: x2+y2+6y+2=0 On simplification, we get ⇒x2+y2+6y=-2⇒x2+y2+6y+9=-2+9⇒x2+y+32=7⇒x-02+y--32=72 Now it…

Q: The graph of the equation (x – 2)´ + y² = 81 is a circle. What is the radius of the circle?

A: The standard equation of a circle is given by: (x-a)2+(y-b)2=r2   Where, (a,b) is the center of the…

Q: Find an equation of the line that has x-intercept -3 and passes through the center of the circle…

A: Given : line has an x-intercept -3and the equation of the circle: x2 +y2 -4x+10y+26=0

Q: Find all of the possible values of the constant k for which is the equation of a circle. x² + y² +…

A: Solution: x2 +y2 +10x -14y +k2+10 =0 We know the general form equation of circle x2 +y2 +2gx +2fy +C…

Q: A) The equation of a circle is (x + 8)^2 + (y + 5)^2 = 121. %3D plot the points and then graph the…

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Q: Find the x- and y-intercepts of the graph of the following equation: y2 1 4 x² 9. ||

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

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 center and radius of the circle given by this equation: x² – 16x + 64 + y² + 10y - The…

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Q: Show that the equation represents a circle, and find the center and radius of the circle. x2 + y2 -…

A: A circle is a round shaped figure that has no corners or edges. In geometry, a circle can be defined…

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: Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist,…

A: X intercept of the point on the graph where y = 0.  So,

Q: A circle has the equation x2 + 6x + y2 - 8y - 75 = 0. What are the coordinates of the center and…

A: we will change it in standard form and compare.

Q: For the equation of the circle  x2+y2-2x+10y-8=0 a) state the center and radius b) find the…

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Q: The equation of a circle is (x - 4)^^2 + (y + 3)^2 = 16. plot the points and then graph the circle.

A: Given: x-42+y+32=16

Q: The equation of a circle is given below. Identify x´+y´+4x-8y+ 11 =0

A: x-h2+y-k2=r2 Where h, k is centre of circle and r is radius of circle.

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

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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: Write the equation of the circle with center C(-2;4) and radius r=5. Where does the circle cut the…

A: Solution is given below

Q: The radius of the circle with the given equation x2 + y? - 14x + 4 y = 11 is 8 10 11 18

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Q: The equation x2 + y? + 2x-4y- 10 0 represents: %3D | circle O point O has no graph O

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Q: Find the center and radius of the circle, and sketch its graph. x2 + (y - 2)2 = 4

A: Given the equation of circle x2+(y-2)2=4 The equation of circle is given by (x-h)2+(y-k)2=r2 where…

Q: Identify the radius and center, if the graph of the equation is a circle, then sketch it. Otherwise,…

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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: Q4/ Find the center and the radius of the circle x² + y2 + 4x - 6y – 3 = 0

A: Find the centre and radius

Q: Find the center and radius, graph circle and find intercepts: 2x2+2y2-12x+8y-24=0

A: Factor out 2 , then divide both sides by 2.

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

A: Find radius and center of circle :

Q: Given the equation of the circles are x²+y²=1 and (x-1)²+(y-1)²=1. Find the two points of…

A: Given equaiton of the circle: x2+y2=1x-12+y-12=1 To determine: The points of intersection.

Q: A circle has the equation x 2 + y 2 – 6x + 12y + 9 = 0. What is the distance from the center of the…

A: The general equation of a circle with center (a, b) and radius r is, x-a2+y-b2=r2. The distance of 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: Find the equation of the circle with center on the y-axis and has y-intercepts at 7 and 1.

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Q: Show that the equation represents a circle, and find the center and radius of the circle. x2 + y2 -…

A: To Determine: Find the center and radius   Given: x2 + y2 - 2x + 4y + 1 = 0

Q: A given circle has the equation x2+y2−4x−2y+4=1. What is the center of the circle?

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Q: Find the center and the radius of the circle. x2+y2+4x-12y-9=0

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Q: find the standard form of the equation of the circle whose center and radius are given.          1h,…

A: Given centers are (1,-2) and radius r =4

Q: The equation x² - 2x + y² - 4y = 20 defines a circle in the xy-coordinate plane. What is the radius…

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Q: A) The equation of a circle is (x+ 8)^2 + (y + 5)^2 = 121. plot the points and then graph the…

A: Consider the given equation of the circle as x+82+y+52=121

Q: Decide whether or not the equation has a circle as its graph. If it does, give the center and the…

A: Consider the given equation.

Q: Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist,…

A: Coordinate of x intercept are : (-1/2,0) and (7,0)

Q: Find the center and radius of the circle whose equation is x + 5x + y + 6y – 9 = 0. The center of…

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Q: .4 -2 GLCGL D 1 5-4-3 -2 3. -4 B -5 2. 寸の

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Q: Q3) Sketch the graph of the equation x² + y² +8x + 10 y – 7 = 0 by first showing that it represents…

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Q: The equation of the circle whose center lies in the first quadrant on the straight line y=2x, passes…

A: Given, A circle whose center lies in the 1st quadrant on the straight line y=2x, passes through the…

Q: Show that the equation represents a circle, and find the center and radius of the circle. x2 + y2 -…

A: Given equation is x2+y2-2x-2y=2. To show that the equation represents a circle, and find the center…

Q: The equation of circle E is given as (x-9)^2+(y+4)^2=81. The coordinates for the center of circle E…

A: The equation of circle with center at (h, k) and radius r is given by  (x - h)² + (y - k)² = r²…

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

Q: Decide whether or not the equation has a circle as its graph, If it does, give the center and the…

A: The given equation is

Q: The center of a circle is at (-5, 0), and the diameter of the circle is 18. Which of the following…

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Q: The equation of a circle is given below. Identify the 2+y² - 2x+ 4y– 11 = 0

A: From the given problem:   x2+y2-2x+4y-11=0   As we know that the standard form of the circle is:…