What is the center and radius of the circle? (x-2)2 +y? = 25 %3D The center of the circle is. (Type an ordered pair.)

Q: (b) Find the equation of the sphere in R³ that has the diameter from A(1, 2, -1) to B(5,-2,0).

A: Part (b):- Given co-ordinates of diameter are  A1, 2, -1   to   B5, -2,  0.

Q: Find the area of the triangle which the line 2x – 3y + 6 = 0 forms with the coordinates axes. a.3…

A: First we find out x intercept and y intercept of given line and solve it.

Q: Find the point P on the parabola y = x closest to the point (57, 0). (х, у) y y = x? P 57

A: Given parabola y=x2 The distance between two points is found by d=x2-x12+y2-y12 let a,a2 be the…

Q: Find the Center and radius of the Cirele x?+y²+4X-6y -320

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Q: nd an equation of a sphere if one of its diameters has endpoints (54.

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Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…

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Q: Sketch the figure and solve the following problems. %3D What is the center and radius of a circle if…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Using the vertical element, which of the following is the equation of the area of the region bounded…

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Q: 3. Identify the center and radius from the equation below: (x-3)°+(y+2) =16 Center: Radius: %3D

A: The general form of equation of a circle is given by the formula x-a2+y-b2=r2, where a, b is the…

Q: -9 = -y²- x2

A: A circle is the locus of points in two-dimensional space which are equidistant from a fixed point.…

Q: In the circle below, VZ = 13 units, ZY = 5 units, and WX = 8 units. Solve %3D %3D for VY. Show your…

A: We will use the fact that, triangle VYZ is a right-angled triangle and use it to find the Value of…

Q: A circle has the equation (x + 5)2 + (y- 2)2 = 9. What is the center of the circle? %3D

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Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

A:

Q: Distance from the center to each focus is:  (x+5)^2 - [((y-2)^2)/64] = 1

A: Topic = Hyperbola

Q: What is the center and radius of the circle? (x – 5)² + y² = 25 A. center:(-5, 0), radius = 25 B.O…

A: The general equation of circle is given by: x-h2+y-k2=r2 where h,k is the centre of the circle &…

Q: The figure shows a lamp located three units to the right of the y-axis and a shadow created by the…

A:

Q: Which point or points on the ellipse x? +4y? = 4 are furthest away from the point (0, 1)?

A: The Equation of the given ellipse is, x2+4y2=4 Let the furthest away point on the ellipse, from the…

Q: The figure shows a lamp located three units to the right of the y-axis and a shadow created by the…

A: To find how far above the x-axis is the lamp located

Q: 14.) Using the equation of a circle (x- 3)² + y? = 49 find the radius and the center:

A:

Q: The figure shows a lamp located three units to the right ofthe y-axis and a shadow created by the…

A:

Q: E. Explain what a second-degree equation in tow variables, x and y, is, and how you can ell whether…

A: Please look into the next step for details

Q: The USA Olympic Synchronized Swimming Team is designing a routine for their upcoming competition.…

A: The general form of an equation of a circle is given by: (x-a)2+(y-b)2=r2   Here, (a,b) is the…

Q: 3x2 − 6x − 4y + 8 = 0 identify the standard form, vertex, focus, ends of latus rectum, directrix;

A: the solution is following.

Q: What is the measure of the radius of a circle defined by x²+y²+8x+8=0? a. 2/2 Where is the location…

A:

Q: A round trampoline is located in a rectangular back yard. The shape of the trampoline is modeled by…

A: (x+2)2+(y-3)2=49

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

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Q: A circle in the ry-coordinate plane has the equation a2 + y? + 6y - 4 = 0. What is the center of the…

A: Hee, the given equation of the circle is: x2+y2+6y-4=0

Q: x + y? - 14x + 14y +94 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A: The equation of circle in its standard form is given by- x-h2+y-k2=r2 where h,k is the center of…

Q: Find the point P on the parabola y = x² closest to the point (57, 0). (x, y) = y y = x? P 57

A: Given that, the function y = x2 To find the closest point P to the point (57,0) Let (x, x2) be the…

Q: Describe how to locate the foci for x2/25 + y2/16 = 1.

A: We have to describe how to locate the foci forx225+y216=1

Q: What are the coordinates of the focus of the parabola? (y-2) = -20 (x +1) -20 (x + 1) %3D Enter your…

A: Given; ( y-2)^2=-20(x+1) We have to find focus of given parabolic

Q: Q1. Find the equation of sphere whose center is at (4,-1, 7) and radius is 5.

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Q: Given (x - 20)² + (y - 0.05)? = 81 %3D What is the center of circle? What is radius? r=

A: We have to find center and radius

Q: What is the center and radius of the circle? (x-5) +y? = 36 The center of the circle is (Type an…

A: We have to find the center and radius

Q: 2 + (y– 6)² < 2

A:

Q: Complete the square to find the center and radius: x^2+y^2+2x+4y-1=0

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Q: Find the equation of the sphere

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Q: (x-9)2 + (y+7)2=92 What is the radius of the circle?

A: we campare the given equation of circle (x-h)2+(y-k)2=r2. and find the radius . see 2nd step.

Q: Find the area of the ellipse given by x2/64+y2/ 4=1. Area =

A: Solution: The objective is to find the area of the ellipse given by x264+y24=1

Q: 6a. What is the center point of the circle from the equation below? (x + 2)² + (y - 4)² = 36 6b.…

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Q: The equation of a circle is (x 2)+ (y-5)= 36 a. What is the center? ( . ) b. What is the radius?

A: Standard form of equation of circle. x-a2+y-b2=r2

Q: Vrite the equation of the circle centered at ( 3, 3) with radius 10.

A: Given: Center=(-3,3)    Radius =10.

Q: The equation of a circle is given below. (r + 9)2 + (y 416) = 123 What is its center? What is its…

A:

Q: (x-3)2+(y+4)²=5 What is the y value of the center of the circle?

A: Given,           x-32+y+42=5We know that,           The standard equation of the circle with center,…

Q: hat is the shape of the vertical cross section of this solid figure that passes through the vertex?

A: We have to identify the shape of the cross-section.

Q: The point is located on the x-axis, 12 units in front of the yz-plane. Find the coordinates of the…

A: The point is located on the x-axis. Hence, y=0 and z=0. The point is located 12 units in front of…

Q: Find y, the shape is a trapezoid. (3x + 5)° (2y – 20)° (4x 30)

A: Sum of measurement of angles of a triangle is 180 degree

Q: The measure of ZYXZ 54". What is the measure of Z YRZ? R is the center of the circle R Z

A: 1) Based on angle in a cricle theorem, Central angle is twice any inscribed angle subtended by the…

Q: A circle in the zy-coordinate plane is represented by the equation z+ y - 6z = 11. What is the…

A: Let's find.