4) Using the graphs glven below, draw the following equations. Be sure to label the center polnt, any polnt to the left, and any point to the right of the center (three points in all). ) y = -V+2+1 b) y = - 1 Center Center: Left: Left: Right: Right:

Q: Which one of the following equations describes the circle in the xyxy-plane with centre…

A: The general equation of the circle is: (x-a)2 + (y-b)2 = r2 where (a,b) is the center and r is the…

Q: 1. State the definition of a rhombus and one property which applies only to a rhombus but not to any…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A__________ _____________is a positive angle whose vertex is at the center of a circle.

A: A __________ _____________ is a positive angle whose vertex is at the center of a circle.

Q: Vaughn Pang sketched trapezoid RUIZ on a coordinate plane. RUIZ has vertices located at R(1,4),…

A:

Q: Find the center C(h,k) and radius (a) :of the circle 9. x² + y² – 4x 4 0 =

A: Write in standard form

Q: Find the distance from (4, –2, 6) to each of the following. a. The xy-plane

A:

Q: Find the point E that partitions the directed segment CD  in a ratio of 1:5, given the points…

A:

Q: (b) Prove that the perpendicular bisector of a chord of a circle passes through the centre.

A:

Q: 3. Verify Euler's formula for the plane graphs shown below. B (a) (b)

A:

Q: C. Find the DE of a family of circles with center at (1, -2). Hint: Equation of circle with center…

A:

Q: Suppose that points A, B, and C are collinear and AB>AC. Which point can you conclude cannot lie…

A: Given   (a) points A,B, and C are collinear and   (b) AB > AC.

Q: A family of circles with centers at the origin are described by which of the following equations?

A:

Q: Use the situation below to answer Part A and Part B. Circle Q has a center at (-2, -3) and circle R…

A: Given  Centre of circle Q is at -2,-3 and Centre of circle R is at 1,-1.

Q: Let AB be a segment and letr be its axis. Show that every point P on r is equidistant from A and B.

A: Consider a line segment AB and r be its axis. To show every point P on the axis r is equidistant…

Q: Let a point a = (2, 4, 5). %3D a) Find the distance from this point to the xy-plane.

A: Consider the point

Q: 9. Suppose z1, z2, z3 are the vertices of an equilateral triangle inscribed in the circle |z| = 2.…

A:

Q: In the drawing, suppose that ZX is the perpendicular bisector of WY. What type of quadrilateral is…

A: Since, we have been given that ZX¯  is the perpendicular bisector of WY¯.Our Aim is tell to the type…

Q: Describe with a sketch the sets of points 1x, y, z2 satisfying the following equations. y - z = 0

A: First sketch the graph of the function y-z=0 as shown below.

Q: Formulate an verify Green theorem when [P, Q] = [2yx, y² + 2x] and the curve y is the positively…

A: According to the given information it is required to formulate Green theorem. When

Q: What is the equation of the circle n the ry-plane that has center (4,-5) and that passes through the…

A: Option 4 is correct.

Q: Find an eguaton for the set of all points (a sy, z) equiditant fom point (1,0,2) and

A:

Q: What is the sketch the phrase "three collinear points and a fourth point not on the line of the…

A: Introduction: Dual of any phrase can be find by replacing the conjunction connective with…

Q: The ___________ is the point on a two-dimensionalplane from which the drops originated

A: The ___________ is the point on a two-dimensional plane from which the drops originated.

Q: A circle with radius 2 contains the point (1,-4). Which of the following equations best describes…

A: The given point is 1, -4The radius is 2

Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

A:

Q: The figure satisfies the Midpoint theorem for a triangle. Calculate (x + y) 4у x + 4 6(у-1) 4x -2

A:

Q: Which of the following point is the closest point on the sphere z² + y² + z² = 4 from the point…

A: Given Equation of Sphere X2+y2+z2=4 And point (3, 1, -1)

Q: The DE of the family of circles with center at the origin is

A: The general equation of circle centered at  orgin with radius r is (x-0)2+(y-0)2=r2

Q: Зу — 2z 3D 6

A: Use a graphing utility to plot the plane, 3y-2z=6 .

Q: _23. What is the equation of the circle that passes through (4, 2) with center (0, -1)? x2 + (y –…

A: Here we find the equation of circle which passes through (4,2) with centre (0,-1)

Q: Discuss the relativr position of the following pair of circles x2+y2-4x-6y-12=0

A:

Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

A:

Q: and identifythe Hw sketchthe followingcurress symmetriesof theme r=-l+sino

A:

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: B. Find the intersection points of the circle with center (2, 2) and radius 2√2 and the line that…

A:

Q: Solve the following problems completely. If there are seven distinct points on a plane with no…

A: Given: Total number of points is, n=7. No three points are collinear. The objective is to find the…

Q: ㅠ Use Green's theorem to find: where C is the circle x² + y² = 4 going counter-clockwise. -8T […

A:

Q: Identify the surface with equation o = = 7

A: Spherical coordinates: The point Pρ, θ, φ represents a point in the spherical coordinates, where ρ…

Q: Refer to diagram to the right: A) If os bisects ZRQP then B) If SQ bisects RP then

A: The diagram as shown.  Triangle PQR is given

Q: What are the four main end points to the circle x2+y2-10x+8y+25=0 (show work)

A: Question is solved.

Q: Find the center (h, k) and the radius r of the circle 4x2 + x + 4y? + y – 10 = 0.

A:

Q: Given 3 non-collinear points, A, B, and C, describe how to find a point, O, that is equidistant from…

A: As Point O is equidistance from A,B,C.   A circle can be drawn with center O , that will pass from…

Q: .Let C1 be the circle centre P = (−1, 1) with radius √ 17 and C2 be the circle centre Q = (1, −1)…

A: Given, C1 be the circle centre P = (−1, 1) with radius r= 17and C2 be the circle centreQ = (1, −1)…

Q: Find an equation for the set of all points equidistant from the planes y = 3 and y =-1.

A: Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Q: Graph the first-octant portion of each plane.y + z = 5

A: y+z=5 We need to graph the first octant portion

Q: Which of the following is a three-point geometry?

A: Three point geometry is a finite geometry subject to the following four axioms: 1) There exist…

Q: AJKL has vertices J(1,-3), K(4, –3), and L(3,1). Reflect AJKL across the y-axis and then rotate it…

A:

Q: Plot the image of quadrilateral ABCD under a reflection across line . C D

A: Reflection is a transformation representing the flip of the figure. If we are reflecting a figure…

Q: Vhat is the equation of a circle with center (3, –7) that goes through the oint (1, 1)? D (x – 3)2 +…

A: