1. Find the center and radius of the circle x² + y? + 2x – 4y = 4 by completing the square.

Q: fc xy2 ds, C is the right half of the circle x2+ y2=16

A: We have given that  curve is the right half of the circle; x2+ y2=16 The parameterization of the…

Q: 4. If XY = 78 miles and mXY = 70°, then determine the radius of circle H. %D %3D Y

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Q: Show that the equation represents a circle by rewriting it in standard form. 4x2 + 4y2 - 3x = 0…

A: As we know that; The standard form of the equation of the circle is: x-h2+y-k2=r2 Where; center:…

Q: Which equation represents a circle with center (-4, 9) and radius 7? 1.(x+4)^2 + (y-9)^2 = 7…

A: Use the standard form of equation of circle when centre and radius are given.

Q: Reduce to standard form and draw the circle whose equation is 4x2 + 4y2 – 4x – 8y – 31 = 0.

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Q: [19] Find the center and the radius of the circle x + y – 8x+ 2y+13= 0. Work:

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

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Q: Based on the measures provided in the diagram, determine the most appropriate value for x. (You may…

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Q: B: Determine the center and radius of the following circle: 2+ y?-3x+10y-1=0

A: As we know that; The standard equation of the circle; x-h2+y-k2=r2 Where; center: h,kradius=r…

Q: 1. Find the equation of the circle that circumscribes the triangle whose sides are formed by the…

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Q: Reduce the equation of the circle x +y° +&r – 9y– 6 = 0 to its standard equation.

A: Solution is written in below steps.

Q: 13) What are the coordinates of the center and length of the radius of the circle whose equation is…

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Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

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Q: 7, What is the equation of the circle whoe diameter is 18 units, and its center is at (-X A -3) y+…

A: Topic = Circle 7) Correct option  = D As per guidelines , At a time only one question can be…

Q: D. List the radius and center of this circle: (x+1)2+(y-5)²=36

A: Equation of the circle is: (x-h)^2 +(y-k)^2= r^2. Where, r is the radius of the circle. (h,k) is the…

Q: 4. Consider the circle with two intersecting chords. D B x+10 3. E

A: Given two intersecting chords.  Let the intersecting point is C.  Thus AC = x + 10 CB = 3 DC = 8 CE…

Q: 25.) Question is attached!

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Q: What is the center and radius of the circle, x +y + 2x – 6y +9=0

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Q: Which statement is true for the circles below?

A: Given,           The circles below

Q: What is the standard equation of a circle with center (-2,3), and tangent to the x-axis? 1. (x + 2)2…

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Q: Find the exact center and radius of the circle: x^2 -10x + y^2 +6y +21 = 0

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Q: What is the standard equation for the circle with center (7, 3) and radius 3? O (x-7,2 + (y- 3)2 - 3…

A: Equation of circle with center (h,k)and radius r (x-h)²+(y-k)²=r²

Q: 3 8. Determine the centre and the radius of the circle x² + y² – 5x + 12y – 6.75 = 0. State your…

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Q: Consider the circle x2+ y2–6x–8y= 0 as shown in the figure below. Find the center and the radius of…

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Q: What are the radius and center of the following circle? x2 + y? + 4x – 4y + 4 = 0

A: Solution: The objective is to find the centre and the radius of the given circle

Q: 1. What is the center and radius of the circle given by ( x − 3 ) 2 + ( y + 2 ) 2= 16.

A: Recall the standard form of equation of a circle: (x - a)2 + (y - b)2 = r2 where center of the…

Q: If one end of the diamtere of the circle x2+y2-5x-8y+13=0 is (2,7) .then find the other end of the…

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Q: 31. Give the center and radius of the circle represented by each equation. Ceater 4x2 + 4y2 + 4x –…

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Q: 2 2. Write the equation in standard form for the circle x+ y' + 8y 34 0. Submit

A: Given the equation for the circle is x2+y2+8y-34=0

Q: 1) Draw the circle ( x + 1 ) ^2 + ( y + 3 )^2 = 4 . 2) Write the equation of the circle centered…

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Q: ST ry² ds where C' is the right half of the circle x² + y² = 9 Evaluate

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Q: Identify the center and radius of the circle. x2 + y? – 4x + 10y – 7 = 0 %3D

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Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(4, – 5)…

A: Given query is to find the equation of the circle.

Q: Given the following equation of a circle: x² + y² +8x– 2y–8 =0

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Q: 1. Determine the circle center and Radius. (x-2) +(y+5) = 100 %3D (x-8)'+y 25 14 (x+3) +(y-1)

A: Question 1,Part a,Given,          x-22+y+52=100We know that,           The standard equation of the…

Q: Give the center and the radius of the circle.  x2+y2=36

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Q: 1) What is the equation of the circle whose diameter has endpoints P(1, 6) and Q(7, 2)? Center: (…

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Q: 3) Find the equation of a circle which centered at (4,3) and touching another circle * x² + y? = 4

A: To find the equation of circle which centered at (4,3) and touches the another circle  x2+y2=4.…

Q: 19.) Question is attached!

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Q: Identify the center and the radius of the circle. 20. (x – 1)° + (y + 3)² = 4 21. (x – 2)° + (y –…

A: (x−h)2+(y−k)2=r2 (h, k) is the center and r is the radius of the circle. 20. (x - 1)2 + (y + 3)2 = 4…

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

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Q: 19. What is the center and radius for the circle with equation 2x-8x + 2y2+ 12y+ 14 0? А. (2, –3); r…

A: Consider the equation 2x2−8x+2y2+12y+14=0

Q: 15. Complete the squares on x- and y-terms of the circle: 4x + 24x + 4y + 36y =0. SLO 12

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Q: What is the standard equation of a circle with radius 7 and is concentric (same center) with the…

A: Given:- x2 + y2  +2x-4y=5 To find:- Equation of circle concentric with given circle and radius 7

Q: 6. List the radius and center of this circle: x2+(y+2)²=6l

A: From the given problem:   x2+y+22=61   As we know that the standard form of the circle is:…

Q: 1 -dz, C is the circle |z1|= 2 2³ (z-2) C

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Q: 6. Determine the center and radius of the circle: (x - 7 )2 (y+3P = 25

A: Given : x-72+y+32 = 25

Q: Write the equation of the circle with the following center and radius: Center: (-1, 7), Radius: 14 O…

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Q: 19. Find the center and radius of a circle that has the standard equation (x + 2)² + (y – 5)² = 169.

A: Given,  The equation of the circle  x+22+y-52 = 169  We have to find the center and radius of…

Q: Given the radius r = 12 and center (-7,10), find the standard equation of the circle. O (x+7)² +…

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