In Problem (a) find the center and radius r of each circle;(b) graph each circle;(c) find the intercepts,if any. x2 + y2 + 4x - 4y - 1 = 0

Q: In Problem,find the standard form of the equation of each circle. Center (-3,1) and tangent to the…

A: From given the center of circle is (-3, 1) and the circle is tangent to y-axis. Then calculate the…

Q: In Problem (a) find the center and radius r of each circle;(b) graph each circle;(c) find the…

A: (a) The equation of the circle given is 3(x+1)2+3(y-1)2=6. The standard form for the equation of a…

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

A:

Q: 7. Find the center and radius of the circle described by the equation 2x² +2y² +2x-6y+-=0.

A: 2x2+2y2+2x-6y+92=0Find the center and radius of the circle

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: In Problems 11 and 12, find the standard form of the equation of the circle whose center and radius…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Problem 3 Graph the half-circle with an equation of y = 25 – (x – 4)². Then, use the INTERCEPT…

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Q: 1. Find the equation of the circle whose center is (1,-1) and which passes through the center of the…

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Q: Derive the standard equation of a circle if its general equation is x² + y² - 10x - 6y + 14 = 0.…

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Q: In Problem, write the standard form of the equation and the general form of the equation of each…

A: Given, r=4; h,k=-2,1   The standard equation of the circle is, x-h2+y-k2=r2. Therefore,…

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: The equation with the circle for 1-3 is: (x-2)^2 + (y+3)^2 =9

A: The equation of circle x-22+y+32=9

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: In Problem (a) find the center and radius r of each circle;(b) graph each circle;(c) find the…

A: Given: 2x2+2y2+8x+7=0To find: a find the center and radius r of each circle…

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

A: The standard form of a circle is: (x-h)2+(y-k)2=r2              ...(i) Where, (h,k) is the center…

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: In Problem,find the standard form of the equation of each circle.Center(2,3) and tangent to the…

A: Center(2,3)

Q: In Problem, write the standard form of the equation and the general form of the equation of each…

A: Radius r=7Center h, k=-5, -2

Q: Find the center and radius of a circle x+y2+2x+10y-4-0

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Q: In Problem,find the center and radius of each circle.Graph each circle.Find the intercepts,if any,of…

A: Given, equation is: 2x2+2y2-4x=0On simplifying further we…

Q: Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

A:

Q: In Problem, write the standard form of the equation and the general form of the equation of each…

A: Given Radius (r) of circle=12 Center of circle h,k=0,-12

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

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

A:

Q: 18. The equation of a circle with center on the y-axis and passing through the origin and the point…

A: It is given that the circle is passing through the origin (0,0) and the point (2,3). As the general…

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: In Problem,determine which of the given points are on the graph of the equation.

A: We know that, a point (a, b) is in the graph of a function f(x) if and only if f(a)=b. We will be…

Q: Problem 3. Find an equation of the circle whose endpoints of a diameter are (-1,3) and (7,–5).

A:

Q: In Problem,find the standard form of the equation of each circle. Center(1,-3) and tangent to the…

A: If the center of a circle is given by (h,k) Then, we know that the general form of the  eq. of…

Q: In Problem, write the standard form of the equation and the general form of the equation of each…

A: We have to write standard and general form of the equation of circle for the given data as well as…

Q: In Problem, write the standard form of the equation and the general form of the equation of each…

A: A circle is a two-dimensional shape and it is a closed curve. A set of all points are that at the…

Q: Draw a circle with an equation of x2+4x+y2−4y=1.

A: Given,

Q: 3. Find the center and radius of the circle with equation x ^2+ y^2- 6x+ 10y+ 9= 0

A: To Determine: Find the center and radius of the circle with equation :

Q: In Problem,find the standard form of the equation of each circle. Center (4,-2) and tangent to the…

A: A circle is a plane closed figure such that every point on its boundary is at a fixed distance from…

Q: In Problem (a) find the center and radius r of each circle;(b) graph each circle;(c) find the…

A: Given equation of circle is x2+y2+x+y-12=0. To find the center and radius r of each circle, graph…

Q: - Find the equation of the circle if its diameter has an end points of (6, 1) and (-2, 3)

A: The equation of the circle is, (x - 2)² + (y - 2)² = 17  The detailed solution is as follows:

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

A:

Q: True or False Every equation of the formx2 + y2 + ax + by + c = 0 has a circle as its graph.

A: The given statement is,  Every equation of the form x2+y2+ax+by+c=0 has a circle as its graph. To…

Q: у-аxis 24 1- +>x-axis -1 1 2 3 4 5 6 7 -3 -5- -6+ What is the equation in standard form of a circle…

A: In this question we have to find the equation in standard form of a circle.

Q: 1. Find the equation of the center and radius of the circle: x² + y² + 4x - 8y- 5 = 0

A: Follow the procedure given below.

Q: 5. Find the equation of the circle in standard form whose center is at origin and passes through the…

A: The standard form of the equation of the circle is: (x-h)2+(y-k)2=r2 Where (h,k) is the center of…

Q: 3. Reduce 9x² +9y2 - 12x - 24y - 5 = 0 to the standard form of the equation of a circle.

A:

Q: Question 6 In the xy-plane, what is the y-intercept of the graph of the equation y = V4 -T?

A: Let's find.

Q: 4. The graph of the equation (x- 1)² + (y – 2) = 9 is a circle with center (, -) and radius

A: Given: Graph of the equation (x-1)2+(y-2)2=9

Q: Discuss and trace the curves of the following equations. 1. y = x2 – 16 2. y = 2x3 – 9x² – 4x + 15 -

A: We have to trace the curve of given equation.

Q: Find the standard equation of the circle whose center is on the line y = 3x - 3 and this circle cuts…

A: We 1st assume the standard equation of circle and use the given conditions to derive the require…

Q: 17.Graph the circle whose equation is 2x² + 2y2 + 12x - 16y + 18 = 0.

A:

Q: PROBLEM 10: Consider the equation of a circle in standard form: x² + y? -8x -2y + 13 = a. Write the…

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Q: Problem 5. Find the standard form of the equation of the circle x² + y² − 2x +12y + 12 = 0. Then,…

A: The standard form of a circle is (x-h)2+(y-k)2=r2 where (h, k) is the center of the circle and 'r'…

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