Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many such circles exists?

Q: The equation of a circle of radius 2 centered at the point (2,-3) is:

A: Please refer the attached image for complete solution.

Q: In the xy-plane, (-3, 1) and (4, 3) are the endpoints of a diameter of a circle. What are the…

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Q: The distance d from the point (2, - 3) to the point (5, 1) is________ .

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Q: 3. Write an equation for the circle centered at (4,-3) that passes through the point (-1, 7).

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Q: a circle can also be represented in its general form which is written as for a circle to exist,…

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Q: What is the equation of a circle that has center located at (- 2, 0) and passes through the point…

A: Solution: The objective is to find the equation of a circle that has a centre located at (- 2, 0)…

Q: Find the circle passing through the three points (0,4), (2,2), and (-2,2).

A: Let the equation of circle be (x – h)2 + (y – k)2 = r2 where (h, k) is the center and r is the…

Q: FInd the distance between the points (0,5) and (-5 ,0)

A: Given points , ( 0 , 5 ) & ( -5 , 0 )

Q: Write the equation of the circle centered at (4, 2) with radius 18. --

A: Given, center(4,-2) radius =18 what is equation of circle

Q: 30. Which equation describes a circle with center (-1, 2) passing through the point (2, 4)?

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Q: A circle has a center of (3,2) and a point on the circle of (5,2). What is the equation for this…

A: We have to find out the circle equation

Q: What is the equation of a circle with center (2, 3) that passes through the point (5, 3)?…

A: Equation of circle with center (h,k) and radius r (x-h)2+(y-k)2=r2

Q: What is the equation of the circle passing through the points (2,1), (0,5), and (-1,2)?

A: Solved below

Q: Find the exact distance between the points (4, - 1) and (10, 3).

A: To find the exact distance between the points 4,-1 and 10,3. Solution: Distance formula states that…

Q: Find the distance between the points ( –4, 8) and (–5, –1)

A: To find the distance between the two points (-5,8) and (-5,-1)

Q: Find an equation for the circle that has center (–1, 4) and passes through the point (3, – 2)

A: The general equation of circle with center (h, k) and radius a is given as follows:…

Q: A circle has its center (4,-2) and goes through the point (-2,-3).Find its equation

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Q: 5. Is the point (2, 7) on the circle defined by (x – 2) + (y – 7)2 = 4?

A: Given equation of the circle is: (x-2)2+(y-7)2=4 Given point is: (2,7) Substituting,x=2,y=7 in given…

Q: please solve and show your work

A: The given points are

Q: Find the distance between the points (21, 5) and (2, 1).

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Q: Find the centre and radius of the circle x² + y2² - 4x+6y-23 = 0. O centre (2,-3), radius 6 O centre…

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Q: Write the standard equation for the circle of radius 2v3 and centered at point (-2, 4)

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Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: The distance d from the point (2, - 3) to the point (5, 1) is

A: Given: From (2,-3) to  (5,1) To find the distance

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: Find 4 points on the unit circle which have either a x- or y- coordinate equal to 1/3 Then find all…

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Q: What is the equation of a circle with center (2, 3) that passes through the point (5, 3)?…

A: First find the radius of the circle than using centre and radius write the equation.

Q: A diameter of a circle extends from the point (8,12) to the point(-1,4). What is the length of the…

A: Diameter of the circle is extends from (8,12) to the point (-1,4), then the distance between those…

Q: the equation of the circle with center (−5,−7) that p

A: Here the center of the circle is (-5,-7) and  passing through the point (7,5)

Q: Write the equation of the circle centered at (0,-3) with radius 10/3.

A: To determine : The equation of circle centered at (0,-3) with radius 10/3.

Q: The equation of a circle with center (2,8) and radius 10 is O (2- 2)+ (y- 8)' = 10 O (2 + 2) + (y-8)…

A: Equation of a circle with centre (a,b) and radius r is given by (x-a)2+(y-b)2 = r2 here a = 2 b = 8…

Q: Find the equation of the circle passing through (7,5) and (3,7) and with center on x-3y+3=0.

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Q: Find an equation for the set of all points (r, y, z) equidistant from point 10.) (1,0, 2) and the…

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Q: Please solve and show your work

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Q: Find an equation of the circle that passes through the point (1,1) and its center is the midpoint of…

A: Find an equation of the circle that passes through the point (1,1) and its center is the mid point…

Q: A line passes through the center of a circle and intersects it at points (2,3) and (8,7).What is the…

A: A line passes through the center of a circle and intersects it at points (2,3) and (8,7).What is the…

Q: Find an equation of the circle centered at (3, −2) that passes through the point (5, 4).

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Q: Find the equation of the circle with center (4, 3) and contains the point (-1, 3).

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Q: A circle with radius 4 and center (-1,3)

A: Topic = Circle

Q: 2. Find an equation for the circle that has center(-1,4) and passes through the point (3,-2)

A: circle that has center(-1,4) and passes through the point (3,-2). Now radius is the distance between…

Q: Find the equation of a circle of radius 3 and centered at (-1,3).

A: We find equation of circle of radius 3 and centred at (-1,3)

Q: 2) Write the equation of a circle centered at (-2, 6) and passes through the point (4,2).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A circle has its center at the point (5,-7) and it passes through the point (5,-1). Complete its…

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Q: 4. Triangle XIZ with vertices X(3,-2). I(6, 1), and Z(5, -7): 180

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Q: A radio signal can transmit messages up to a distance of 5 km. If the radio signal's origin is…

A: Given that radio signal can transmit messages up to a distance of 5 km origin = (-2, 7)

Q: Write the standard form of the equation of the circle with radius 4 and center (−7,−1).

A: given center=-7,-1 and radius=4find the standard equation of a circle

Q: Find two numbers y such that the distance from ( - 3, 2) to (5, y) is 10.

A: To find: The value of y. Given: The distance between the two points -3,2 and 5,y is 10. Concept…

Q: Find the radius of the circle if the center is at (1, 2) and the point (-3, 4) lies on the circle.

A: Standard equation of line is given by