1. Put the following equations in standard form and find the center point and the radius: a) x-2x+y +12y+18=0

Q: 2.4. What is the center and the radius of a circle given by the equation x² + y² + 4x – 10y + 20 =…

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Q: find the center and the length of a radius of each circle. x2 + y2 - 10x + 2y + 1 = 0

A: Consider the given equation x2+y2-10x+2y+1=0. Note that, for equation of circle x2+y2+2gx+2fy+c=0,…

Q: Find the center and radius of the circle x2 + y2 = 6y + 16.

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Q: What value for x would guarantee that the quadrilateral shown is a parallelogram? 2x Зх + 2 5x-6 2x…

A: We will find the value of x for which the given quadrilateral is a parallelogram.

Q: Find the values of x and y that make the quadrilateral a parallelogram. 4x + 6 4y - 3 Зу + 1 7x-3 y…

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Q: Use the information provided to write the standard form equation of a circle. Center: (12, 14)…

A: A circle is a locus of points which are equidistant from a fixed point. This fixed point is called…

Q: 11 What are the coordinates of the center and the length of the radius of the circle represented by…

A: Given that a equation circle and we find coordinate of circle center and radius. We know that the…

Q: Write the standard form of the equation of the circle with the given characteristics. endpoints of a…

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Q: Which equation represents a circle with center (1, -3) and radius of 16 units? O (x+1)2 + (y-3)2 =…

A: The solution is :

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: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

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Q: Consider the regular hexagon shown on the coordinate plane. (-2. 3.5) (2.3.5) (4,0) (4. 0) (-2,-3.5)…

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Q: Write the standard form of the equation of the circle withcenter (h, k) = (4, - 1) and radius r = 3.

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Q: find the center and the length of a radius of each circle. x2 + y2 + 6x + 10y + 18 = 0

A: Standard equation of circle in center and radius form is x-h2+y-k2=r2 Where h,k is coordinate of…

Q: What is the center and radius of the circle, x +y + 2x – 6y +9=0

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Q: 1. Determine the center and the radius of the circle whose equation is given by x' +y° – 6x +2y+2 =…

A: The solution as follows :-

Q: 3 8. Determine the centre and the radius of the circle x² + y² – 5x + 12y – 6.75 = 0. State your…

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Q: 2.Express the equation in standard form and indicate the center and radius, if a circle exists. a.…

A: Part a,Given,            x2+y2-10x-14y-7=0We know that,          The general equation of the circle…

Q: Give the center and radius of the circle. x 2 + y2 = 25

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Q: Solve as indicated. 1. Find the center and the radius of the following equations. Equation of the…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question. If u want more to be…

Q: 2 2. Write the equation in standard form for the circle x+ y' + 8y 34 0. Submit

A: Given the equation for the circle is x2+y2+8y-34=0

Q: Use the information provided to write the standard form equation of the circle. Center: (12, -6)…

A: This question related equation of circle.

Q: Identify the center and radius of the circle. x2 + y? – 4x + 10y – 7 = 0 %3D

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

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Q: 3) Complete the square on the circle 2.a2 + 2y? + 44.x + 28y = 52 to write it in standard form. Then…

A: Standard form of circle is given by,  (x-h)² + (y-k)² = a² , where (h, k) is the center of the…

Q: Find the coordinates of the center and radius of each of the given circle 5. x +y + 6x + 10y + 30 =…

A: Given: x2+y2+6x+10y+30=0

Q: What are the coordinates of the center C; and the measure of the radius r of a circle whose equation…

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Q: Find the center and the radius of the circle with the equation x2+12x+y2+6y−76=0 Enter the…

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Q: Give the center and the radius of the circle.  x2+y2=36

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Q: 1) What is the equation of the circle whose diameter has endpoints P(1, 6) and Q(7, 2)? Center: (…

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Q: Write the equation in standard form of the circle whose center is at (0, 0) and that is tangent to x…

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Q: 19.) Question is attached!

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Q: B. Rewrite each of the foilowing circle equations in standard form. 1. x2+y2-4x+3y = 0 2. 2x + 2y2+…

A: Solution:B)Rewrite the circle equations in standard formC)To determine the centre and radius of the…

Q: 1. Rewrite this equation to find the center and radius of the circle: x2 +6x +9+y? - 10y+25 = 64 2.…

A: Given, x ^ 2 + 6x + 9 + y ^ 2 - 10y + 25 = 64 Simplifying the above equation we have,…

Q: Based on the equation of the circle, what is its center and radius? 2 2 8x + 8y + 24x – 20y - 39 = 0…

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Q: If quadrilateral TUVW is reflected across the y-axis to become quadrilateral T'U'V'W', what will be…

A: The reflection across the y-axis will only introduce change in the x coordinate which will give a…

Q: Find the values of x and y that make the quadrilateral a parallelogram. (4x + 13) (4y + 7)° (3x -8)°…

A: Given,        A quadrilateral ABCD is a parallelogram is shown below :

Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. x² +y?…

A: The algebraic identities are a±b2=a2+b2±2ab, where a, b are any algebraic expression. Rearrange the…

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

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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: find the center and the length of a radius of each circle. x2 + 10x + y2 + 2y - 38 = 0

A: Given the equation of a circle: x2+10x+y2+2y-38=0

Q: The equation a? + y? = 9 in 3-space is circle. Select one: OTrue OFalse

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Q: What is equation of circle P? y 4 0 2 4 O (x – 2)² + (y – 2)² = 16 O (x + 2)² + (y +2)² O (2 – 2)² +…

A: Given circle, To be found -  Equation of given circle.

Q: 1. Determine the center and the radius of the circle whose equation is given by x² + y² – 6x…

A: We have to find center

Q: find the center and the length of a radius for each circle. x2 - 12x + y2 + 16y = 0

A: To find the center and length of radius for given equation of the circle: x2-12x+y2+16y=0 Solution:…

Q: Show that the equation represents a cirde by rewriting it in standard form, AND find the center and…

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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: 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: The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.