Exercises 27-30: Translating Circles Write an equation that shifts the given circle in the specified manner. State the center and radius of the translated circle. 27. x² + y = 4; right 3 units, downward 4 units 28. x? + y? = 9; right 2 units, downward 6 units 29. x + y? = 5; left 5 units, upward 3 units 30. x² + y² = 7; left 3 units, downward 7 units

Q: Write the equation of a circle with center (11.-17) and that passes through (10. -12 x-117- y + 17 =…

A: Given : Center = 11,-17 The circle is passing through 10,-18

Q: Draw the circle (x + 2) + (y – 3)² = 4.

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Q: Write the standard form of the equation of the circle with the given characteristics. Center: (3,…

A: Write the standard form of the equation of the circle with the given characteristics.Center: (3, 8);…

Q: Determine the center and radius of a circle given that its equation is (x + 10)² + (y − 4)² = 4 Use…

A: Explanation of the answer is as follows

Q: Explain why you cannot draw a line of symmetry in this picture

A: We have to write about symmetry

Q: What are the coordinates of the center of 9) a circle whose equation is (x - 1)2 + (y + 5)2 = 7? A)…

A: Given equation (X-1)² + (y+5)² =7

Q: If a triangle has vertices (-5,-5), (-4,-6), and (-2,-1), how do you reflect this over the y=x axis

A: First of all to find the coordinates of the vertices A(-5,-5),B(-4,-6),C(-2,-1) after reflection…

Q: The entry gate of the embassy is shaped like a triangle with a triangular logo of the planet on top.…

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Q: In Exercises 31–40, write the standard form of the equation of the circle with the given center and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 20.) Question is attached!

A: If the equation of a circle is: then the center = (h,k)

Q: Write the general form of the circle with center (4, - 3) andradius 5.

A: Given: Center (4, -3) and radius 5

Q: Write the standard equation for the circle. center (10, -6), r = 6 O a 2 (x + 10) + (y - 6) = 6 O b…

A: The standard form of the circle with center (h,k) and radius r is given by: (x-h)2+(y-k)2=r2

Q: Find the center and radius of the circle. (x+4) (y + 2) 2 = 9 (-4.-2): 3 (4,2). 9 (2. 4), 9 (-2,-4),…

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Q: What are the coordinates of the center and radius of a circle with the equation (x - 4)2 + (y + 8)2…

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Q: Which equation represents a circle with center (-5, -6) and radius of 5? O (x+5)? + (y+6)? = V5 %3D…

A: Given center (-5,-6) and radius is 5

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

A: Solved below

Q: Write the standard form of the equation of the circle with the given characteristics. Center: (3,…

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Q: Determine the midpoint C of the line segment AB connecting A (-3, 5.2) & B(4.6, -2.2).

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Q: Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1) You…

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Q: Q1 What is the center and the radius of the the circle(x + 4)² + (y + 6)2 = 64? %3D O center…

A: see 2nd step.

Q: Draw the circle (x - 3) ² + (y + 3) = 4. |

A: Use centre and radius to draw circle

Q: What are the coordinates of point P, the image of point (3, –4) after Rywx? А. (3.4) B. (-3,4) С.…

A: The point given is (3, -4)

Q: Identify the radius and center of the circle: +y°+8z – 4y= 5 - A center: (4, -2); radius: 25 center:…

A: The standard equation of a circle is given by: (x-h)2 + (y-k)2 = r2 Where (h,k) is the coordinates…

Q: Graph the rhombus ABCD with A(-1,-1), B(0,2), C(3,3), D(2,0), and its image after translation . What…

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Q: Draw the circle (x+2)2+ (y-1)2=4

A: Given: (x+2)2+(y-1)2=4         ......(1)

Q: Which equation represents a circle with center (-5, -6) and radius of 5? O (x+5)2 + (y+6)2 = 25 %3D…

A: given center of circle -5,-6 and radius is 5

Q: What is the equation of the circle passing through the points A(-1,3) and B(3,-3) and whose center…

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Q: Write an equation for a circle given the following information. Center(12 , -3) containing the point…

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Q: Write the equation of a circle given the graph. VA 12 V10 -12-8 -4 0 12 X 41 -12 O a? + = 220 O 2 +y…

A: We have to find equation of circle

Q: Which are the center and radius of the circle with equation (x + 5)- + (y – 4)² = 9? O A. (-5, -4);…

A: Option C is correct. Please see below for solution

Q: Select the most precise name for the quadrilateral with points R(-7,-6) S(-5,0) T(-2,0) U(0,-6)

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Q: 3. What is the equation of a circle that has a diameter of 16 units if its center is at (-2,-6)?

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Q: 4. Center: (0, -8), Endpoint: (2, -5)

A: Given center as (0,-8) Endpoint on the circle: (2,-5)We know that distance between two points…

Q: Find the center of the circle whose equation is x2+14y+y2−28x+200=58.   (−14, 7) (7, −14) (−7, 14)…

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Q: With the aid of a diagram, describe how you would help students understand why (x−h)2+(y−k)2=r2 is…

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Q: 5. Find the center of a circle whose diameter has endpoints (5, -7) and (-15, –7). (x, y) =( Va)

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Q: Write the equation in standard form for the circle with center (0, -4) and radius 4,/7. .2 x² + (y +…

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Q: Graph the center and the radius of a circle. Center:0,-6 Radius:4/5

A: Topic = Circle

Q: 3. Center: (4, 7), Endpoint: (-1, -2)

A: *to find:- equation of circle.

Q: Write the standard form of the equation of the circle with the given characteristics. Center: (−3,…

A: The centre of the circle is (−3, −8) Solution point (1, - 11)

Q: The equation of the circle (x+1)²+(y+3)²=(4)² has a center and (1,3)?true or false?

A: The standers equation of a circle centered at (h,k) with radius r is given by x-h2+y-k2=r2. We…

Q: What is the center of a circle with equat (x + 4)2 + (y – 3)2 = 17

A: We can find the required center of circle from the given circle equation as below.

Q: 16) Write an equation of a circle whose center is at (0,-7) and whose radius is 4.

A: answer is x2+y2+14y+33 = 0explanation is given in below step

Q: What is the equation of the circle with center on the y-axis, that passes through the origin and the…

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Q: Determine the center and radius of a circle given that its equation is (x – 9)² + (y + 10)² = 16 Use…

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Q: Write the equation of a circle. Center (3,-5) Radius = 7* (x + 3) + (y-5) = 7 (x-3)2+(y+5) = 7 O…

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Q: Write the equation of a circle with Center: (-1, 4) Radius: 4 ° (x + 2)² + (y – 1)² = 16 (x + 1)' +…

A: Center (-1,4) and radius 4.

Q: What are the center and radius of the circle given by x^2 + y^2 - 16x + 8y + 4 = 0? A (8, -4); 219…

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Q: 4. Write the standard form of the equation of a circle that passes through (4, -3) and whose cente…

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Q: Identify the center and radius of a circle with equation ( x+9)^2+(y+6)^2=9

A: The general equation of a circle is (x-h)2 + (y-k)2 = r2  Where r is the radius and (h, k) is the…