A bank of lights is arranged over a stage. Each light illuminates a circular area on the stage. A coordinate plane is used to arrange the lights, using the corner of stage as the origin. The equation (x – 13)² + (y – 4)² of light. If three actors are located on three different spots Gelan (11,4), Jr (8,5) and = 16 represents one of the disks Galford (15,5). Which actors is in the disc of light? A. Gelan and Jr C. Gelan and Galford B. Jr and Galford D. The three actors are in the disc of light

Q: Find the coordinates of the points marked in the following Cartesian plane.? 6 Y 5TH A 4 2 .B. E x 4…

A: It is given that ,               We have to find the coordinates of marked point.

Q: Find the standard equation of all circles having center at a focus of 52 7(x+2)? (y-3)2 = 1 39 and…

A: Let's find.

Q: 4. Which point on the coordinate plane below is in quadrant III? (TEKS 6.11A, RC3, RS) -8 -7 -6 F. T…

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Q: In the grid below, A ABC will be rotated 90° counterclockwise about the origin, and then reflected…

A: Please see the explanation below

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A: The center is -2, 3 and radius is 12.

Q: * the lines 2x 3y 1 0 and 3x y 4 0 ie along diameters of a circle of circumference 10 n, then the…

A: The equation of a circle centered at h,k is x-h2+(y-k)2=r2 , where, r is the radius. If the radius…

Q: Consider this table of x and y values 1 2 y 14 7 6 5-2.-21 -58 x -2-1 0 34 If these points (X. y)…

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Q: parallel

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Q: I. Sketch and identify the graph of the following equations in R³ : 1. 9a2 + 4y2 = 36 %3D

A: The standard form of the ellipse is x2a2+y2b2=1. The given equation is 9x2+4y2=36.

Q: The quadrilateral ABCD on a coordinate plane has the following characteristics. AD can be…

A: Please find the detailed solution.

Q: Graph the pair of aquadiope on the Sanme axes, and sfate whe ther they are parallel, porpendieulr,-…

A: Given: 3x-2y=5;6y-9x=6To identify whether it is parallel or perpendicular or neither Clearly the…

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A: The given figure is First, we will label it and see what is given ABCD is a parallelogram with…

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Q: Find the point (if it exists) at which the following plane and line intersect. -2x-10y-10z = -19 and…

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Q: Find the midpoint M of the line segment joining the points C (-1,-1) and D = (5,-5). %3D M = 0D

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Q: find the distance between each pair of points  V(-2,5), M(0,-4)

A: To find the distance between two given points  V(-2, 5) and M(0, - 4)

Q: * the lines 2x . 3y 1=0 and 3x - y -4 = 0 ke along diameters of a circle of circumference 10 , then…

A: The equation of a circle centered at h,k is defined by the equation, x-h2+y-k2=r2, where r is the…

Q: In a simple video game, a rocket travels in an elliptical orbit whose path is described by the…

A: Given, Equation of the ellipse 4x2 + 25y2 = 100 Now, rocket is travelling to the tangent to its path…

Q: Find the coordinates of the points marked in the following Cartesian plane.? 5TH A 4 B 1 E X -6 -54…

A: From the graph, note that the x coordinate of point A is -1 and y coordinate of point A is 3. Thus,…

Q: draw the plane given by the equation  x + 2y = 6

A: To draw the plane given by the equation  x + 2y = 6

Q: Find the equation of a plane through the intersection point of the lines r(t) = and 7(s)= where r, s…

A: The equation of plane is mainly given by the normal vector calculation. The normal vector to the…

Q: Find the equation where the planes 2x - 3y + z = 5 and x +y -z = 2 intersect. Write step by step.

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Q: 0ose lives 5 km away from the plaza, Every Saturday, he meets Emilio and Diego for a morning…

A:

Q: Find the equation of the circle circumscribing a triangle whose vertices are at (0, 0), (0, 5) and…

A: The basic equation of a circle is given as  x² + y² + Dx+ Ey+F=0

Q: Find the equations of the planes P1, P2 and P3 that are parallel to the coordinate planes and pass…

A: See step 2.

Q: If the trapezoid below is reflected across the x-axis, what are the coordinates of B? do t -8 -6 At…

A: If any point (x,y) is reflected over the x-axis then the coordinates of the reflected point will be…

Q: Graph the image of rectangle DEFG after a rotation 180° counterclockwise around the origin. 10 -10…

A: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes…

Q: ^2+84x-24y

A: Given Ellipse: 21x2-4y2+84x-24y=36This equation can be re-written as-21(x2+4x)-4(y2+6y)=36 To find…

Q: What is the y-coordinate of the center of the circle for the following circle equation? x² + y² -…

A: Answer :-  The y-coordinate of the center of the circle  = 5 Final answer written here, because no…

Q: Find the values of the variables for the parallelogram. m21 = 5y - 5 9x 18z 5. y-z-D (Type integers…

A:

Q: The equation of the line that goes through the point (1,1) and is perpendicular to the line 4x+4y=4…

A: Given,           The equation of the line that goes through the point (1,1) and is perpendicular to…

Q: Reflect the point (5, 6) over the y-axis. A (5, 6) B (-5, -6) C (5,-6) D (-5, 6)

A: Consider the given point: 5,6 To mirror it about y-axis, we need to understand that while finding…

Q: find the coordinates of the centre of a circle and its radius if the equation is 1)…

A:

Q: Find an equation of the line containing the centers of the two circles whose equations are given…

A: First finding the centres of two circles.

Q: Given the point P (2, 4, –1) and the line L: x = 1+ t; y=2+ 4t ; = =-3t Find the equation of the…

A:

Q: The equation of circle C is (x+3)^2+(y-8)^236. What is its center (h.k)? *

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Q: Find the equation of the bisector of the acute angle formed by the intersection of the lines x +y =…

A: In this question we will use basic of geometry i.e equation of line. We will simply plot the given…

Q: when the axes are rotated through an angle x/4,find the transformed equation of 3x2+10xy+3y2=9

A:

Q: When the axes are rotated through an angle x/4,Find the transformed equation of 3x2+10xy+3y2=9

A:

Q: Write the standard equation of each círcle. Center (2, -8); r=-9 2 2 (x ) + ly Center (-9, -4); r=4…

A: let C(h,k) be the center of a circle and A(x,y) be a point on the circle .Therefore , the radius of…

Q: Find the equation of the family of circles whose center is at the y-axis. A. y "+ 3y + 7 = 0 В. ху "…

A: Please refer the attached image for complete solution.

Q: What would the coordinates of B' be if the triangle graphed below was reflected across the line y…

A: The reflection of the point (x,y) across the line y=x is (y,x)

Q: Draw the graphs of the equations x – y+1=0 and 3x+2y – 12=0. Determine the coordinates of the…

A: Sketch the given equations:

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: The figure below is a parallelogram. Y 18x + 1 12x 89 ° W Given that m/X = (18x + 1) *, m/XWY =…

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Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

A:

Q: Given the equation of all points equidistant from a center, what is the center point? (x – 3)² + (y…

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Q: Find the values of the variables for the parallelogram. m21= 5y– 5 = Z %3D = X (Type integers or…

A: Here, angles 3x°=18z°⇒x°=6z° And 90°+90°+3x°+18z°=360°⇒36z°=180°⇒z°=5°⇒z=5

Q: Given the equation, (x-h+v-k)² =r?,what are the coordanates of the center? The coordinates of the…

A: Answer and explanation is given below....

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 1,…

A: Given circumference of the circle  10π we know that circumference of the circle with radius r will…