Answered: Reduce to standard form and draw the…

Math

Geometry

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

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.CT: Chapter Test

Problem 4CT

See similar textbooks

Related questions

Q: Write the standard equation of the circle in the graph. O (x – 3)² + (y + 1)² = 8 O (x – 3)² + (y…

Q: Find the center of the circle x ^ 2 + y ^ 2 - 6x + 4y - 23 = 0

A: find the center of circle if it is helpful, please thumbs up or appericiate.

Q: What is the center and radius for the circle with equation 2x? – 8x + 2y? + 12y + 14 = 0? A (2,–3);…

A: We have to find the centre and radius of given Circle.

Q: Draw the circle whose equation is given by 3x2 + 3y 2 + 6x − 9y = 2.

A: Given 3x2+3y+6x-9y=2

Q: Find the center and the radius of circle. x2+y2-8x+6y+21=0

Q: Give the equation of the circle centered at the origin and passing through the point (0,-6). D=0

A: equation of circle centered at origin

Q: Draw a circle with an equation of x2+y2+4y=5

A: First we add 4 to both sides and complete the square of y term.

Q: Find the standard form of the equation of the circle. With endpoints of a diameter at (4, 3) and (0,…

A: Known fact: The equation of circle with endpoints of a diameter at x1, y1 and x2, y2 is given by…

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: Determine the center and radius of the following circle equation: x2 + y? + 2x – 10y + 22 = 0 -

Q: Find the standard form for the equation of a circle (x - h) + (y- with a diameter that has endpoints…

A: NOTE: Refresh your page if you can't see any equations. . endpoints of diameter are

Q: Find the standard form for the equation of a circle (z – h) + (y- k) = with a diameter that has…

Q: find the center and the length of a radius of each circle. x2 + y2 + 6x + 10y + 18 = 0

A: Standard equation of circle in center and radius form is x-h2+y-k2=r2 Where h,k is coordinate of…

Q: find the center and the length of a radius of each circle. x2 - 12x + y2 + 8y + 3 = 0

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

Q: Write the equation of the circle in standard form: x2 – 6x + y² + 10y = –8.

Q: find the center and the length of a radius for each circle. x2 + 14x + y2 - 8y + 16 = 0

A: A circle is a closed figure with a center and a radius wherein every point on the boundary of the…

Q: Write the equation for the circle. H Y H 0(3,-1) -3 3 0. 3 ***KA ** X

Q: Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0 A. (x-3)2 +…

Q: Write the equation of the circle in standard form. x2 + y2 − 8x + 6y + 9 = 0

A: The given equation is,

Q: ind the equation of the circle that circumscribes the triangle whose sides are formed by the lines…

A: Definition used - For finding the center of the circumcircle, First, we have to find the…

Q: Find the center and radius of the circle: x2 + y2 + 4x - 2y - 15 = 0

A: Given,x2+y2+4x-2y-15=0

Q: 4) Rewrite the equation of this circle in standard form. Identify the center and the radius. x2 +…

Q: Find an equation of the circle that satisfies the stated conditions.

A: Given that, the equation is x2+y2+4y -117 = 0 To Find the standard equation of the circle

Q: Find the standard form for the equation of a circle (x – h)² + (y – k)² = r² with a diameter that…

A: We have to find the h,k, r

Q: D. Reduce to standard form and draw the circle whose equation is 4x^2 + 4y^2– 4x – 8y – 31 = 0.

A: topic - equation of circle in standard form graph of circle can be drawn by taking (0.5 ,1 ) as…

Q: Determine the equation of the circle in standard form: x2 + y² + 6x - 12y + 20 = 0 A. (x-3)2 +…

A: The general form of equation of circle is Ax2+By2+Cx+Dy+E=0. The standard form of equation of circle…

Q: find the center and the length of a radius of each circle. x2 + y2 - 16x + 30y = 0

A: Given: x2+y2-16x+30y=0

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

A: Given,

Q: Find the equation for the left half of the circle: (x − 1)2 + (y − 9)2 = 4

A: We first try to solve for x

Q: Write the equation of the circle below: O (2 - 3)° + (y+ 2)² = 25 O (z + 3) + (y- 2) = 5 O (2 - 3) +…

A: The circle has center at (3, -2) And, radius 5 units

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

Q: Find an equation for the lower half of the circle (x − 1)2 + (y − 9)2 = 4.

Q: Find the center and radius of the circle. x2 + y2 - 4x- 16y -6=0

A: On simplification, we get

Q: Find the center and radius of the circle.x2+y2−10x−6x =−9

A: We will write the equation in standard form first. For that, we have to complete the square. We…

Q: I. Sketch the graph of the following circle equations. 1. x² + y + 8x – 6y = 22 2. x? + y - 2x + 4y…

A: NOTE: Refresh your page if you can't see any equations. . add 16 to both sides

Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. x² +y?…

A: The algebraic identities are a±b2=a2+b2±2ab, where a, b are any algebraic expression. Rearrange the…

Q: Draw the circle (x + 3) + y² = 1.

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

A: Explanation of the answer is as follows

Q: Find the equation of a circle r? +y² +ax+by+c=0 passing through the following points (-2, 1), (5, 0)…

A: Solution:-

Q: Find the abscissa of the center of circle with equation 3x^2 + 3y^3 - 21x + 24y = 16

Q: find the center and the length of a radius of each circle. x2 + y2 + 6x - 8y = 0

A: The general standard equation of a circle centered at (a,b) of radius r is given by the equation;…

Q: Give the equation of the circle centered at the origin and passing through the point (0, 3). D=0

Q: Find an equation of the circle that satisfies the stated conditions.

A: The given equation is, x2+y2+8x-10y+37=0 The general equation of the circle with center at h,k and…

Q: Show that the equation represents a circle and find the center and radius x2+y2-4x+10y+13=0

Q: Find the center and radius for the circle defined by the following equation: x2 + y2 + 6x - 12y + 20…

Q: Find the standard form for the equation of a circle (x - h)² + (y - k)² = p² with a diameter that…

Q: find the center and the length of a radius of each circle. x2 + y2 - 2x - 6y - 6 = 0

Q: ind the center and radius of the circle with equation: x² +y° + 2x + 17y – 63 = 0

A: center and radius of circle..

Q: Find the standard form for the equation of a circle (x - h) + (y – k) = r2 with a diameter that has…

A: Here we use distance formula and point formula Let us consider two points A (x1,y1) and B(x2,y2)…

Q: Determine the evolute of the circle x2+y2=R2.

Question

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

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

Expert Solution