The center is  (3,4)  and the circle is tangent to the  x -axis. (Informally, a line is tangent to a circle if it touches the circle in exactly one point.) (a) Write an equation of the circle in standard form. (b) Graph the circle.

Q: Write the standard form of the equation of the circle with the graph shown to the right. What is the…

A: From the graph we can see that center of circle (h,k) is (-3,-3) and diameter of circle is 2…

Q: Find the standard form of the equation of a circle with center (-1,1) and radius v2. Graph the…

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Q: Find an equation of the circle whose diameter has endpoints (-6, -1) and (2, -3). 0 = X S ?

A: We have to find the equation of circle.

Q: 13) Write an equation of a circle with the center at the origin and which passes through the point…

A:

Q: The graph of the equation (x – 2)´ + y² = 81 is a circle. What is the radius of the circle?

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

Q: Find the standard equation for these circle 1. The circle with two x-intercepts at x=4 and x=6, and…

A:

Q: A circle is centered at (2,-2) with diameter equal to 10. Graph 4 points on the circle. Circle…

A: A circle is a two dimensional shape. The set of all the points which is equidistant from a given…

Q: Find the standard form of the equation of the circle with center (- 5,4) and tangent to the line y=…

A: Solution :-

Q: Find the standard form of the equation of the circle with center (- 5,5) and tangent to the line y =…

A:

Q: Sketch the graph of the circle. x2 + (y − 3)2 = 25

A: Given x 2 + (y − 3)2 = 25 We know that Standard form of circle  (x-h)2((y-k)2=r2 Where  (h,K) is the…

Q: Write the standard form of equation of the circle with it it's center at (-1,0), and a radius of 5.…

A: Given : Center = -1,0Radius = 5

Q: Determine the general form of the equation of the circle whose center is (3,2) and whose graph…

A: Given:Center3,2Point1,2Formula:x-a2+y-b2=r2

Q: From the graph what is the equation of the circle

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Q: 2. Sketch and identify the graph of the equation a+y? - 2y-3 0 in 3D.

A:

Q: a) Find the center-radius form of the equation of the circle with center (0,0) and radius 7. b)…

A: Givencenter of the circle=(0,0)radius=7

Q: Give the equation of the circle centered at the origin and passing through the point (-8, 0).

A: Note that, the equation of the circle centered at the origin is x2+y2=r2. Consider the given points…

Q: Find the center and radius of a circle x+y2+2x+10y-4-0

A:

Q: Find the center and radius of the circle, and sketch its graph. (x - 3)2 + y2 = 16

A: Given: Equation of circle is x-32+y2=16. To find the center and radius of the circle and sketch its…

Q: A) Find the center-radius form of the equation of the circle with center (0,0) and radius 5. B)…

A:

Q: What is the standard form equation of a circle and what other equation(s) is it derived from?

A: For the solution follow the next step.

Q: Sketch the graph of the equation x² + y² + 8 x + 10 y – 7 = 0 by first showing that it represents a…

A: The given of circle is x2+y2+8x+10y-7=0 We know that any equation of second degree…

Q: Find the center and radius of the circle, and sketch its graph. x2 + y2 = 5

A: Given: x2+y2=5 Calculation: x-a2+y-b2=r2center= a,bradius =r

Q: A circle has an area of A=36r and a center of (-4,0). What is the standard form equation of this…

A:

Q: The endpoints of a diameter of a circle are  , 2−7  and  , 10−13 . (a) Write an equation of the…

A: Given the endpoints of a diameter of a circle are, (2,-7) and (10,-13).

Q: A) What is the standard equation of the circle with a Center (0,0) and a radius of 9? (x-h) ^2+…

A: A) What is the standard equation of the circle with a center (0,0) and a radius of 9? Standard…

Q: Write the equation of a circle given the graph. 4- -4 0 -4- x² + y? =

A: To find the equation of the given circle figure

Q: In Problem, write the standard form of the equation and the general form of the equation of each…

A: We have to write standard and general form of the equation of circle for the given data as well as…

Q: a. Write the equation of the circle with center at(-1, 2) and radius 3.b. Graph the circle.

A: a. We have to write the equation of circle with center at -1, 2 and radius 3. b. We have to graph…

Q: Find the equation of the circle which passes through (10:2), (9.-3) and the centre of the circle…

A:

Q: Find the standard equation of the circle whose center is the point ( - 1, 2) if (3, 5) is a point on…

A: The general equation of circle is given by: (x-h)2+(y-k)2=r2 where (h,k) is the center and r is…

Q: equation for the circle whose graph is shown to the rig

A:

Q: - Find the equation of the circle if its diameter has an end points of (6, 1) and (-2, 3)

A: The equation of the circle is, (x - 2)² + (y - 2)² = 17  The detailed solution is as follows:

Q: Sketch the graph of the circle whose equation is ( x + 1)' + (y-2) 81. . 3. What is the distance…

A: Given equation of circle :    (x+1)22+(y-2)2=81   Distance from (0, 1) to (-8, 9)

Q: True or False Every equation of the formx2 + y2 + ax + by + c = 0 has a circle as its graph.

A: The given statement is,  Every equation of the form x2+y2+ax+by+c=0 has a circle as its graph. To…

Q: Use the graph below to determine the equation of the circle in (a) center-radius form and (b)…

A: The circle passes through the points (3,0), (6,3), (3,6) and (0,3)

Q: A circle with center at (5,6) touches x-axis. What is the equation of the circle?

A: For the solution of the problem follow the next step.

Q: 2. Find the equation of the circle in standard form whose center is at (-4, 5) and has a diameter of…

A: Given:- Center (-4, 5) and diameter 100 units  To find:- Standard equation of circle and graph of…

Q: Find the equation of the circle passes through the points (1.1) and (2,2) and the center of the…

A: Points where the circle passes : (1, 1) and (2, 2)       It's center passes through the line…

Q: Write the standard form of the equation of the circle with its center at (-6,0), and a radius of 4.…

A:

Q: 3. Write the standard form of the equation of the circle that has a diameter with the given…

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Q: Explain how to transform the equation of the circle from one form to another. Give an example.

A: We have generally two forms of equation of a circle. They are, 1) standard form            (x—h)² +…

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

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

Q: (b) Find an equation of the circle that lies in the first quadrant, tangent to both x - axis and y-…

A: Solution is given below:

Q: Use the graph below to determine the equation of the circle in (a) center-radius form and (b)…

A: Observe the given circle, we can see that opposite points of the diagonals are,              (4, 7)…

Q: Rewirte the equation of this circle in standard form: x2 - 6x + y2 - 10y - 32 = 0 Answer this:…

A: We are given an equation of a circle. First, we have to rewrite the equation in standard form. After…

Q: Find the equation of the circle which passes through (10.2), (9.-3) and the centre of the circle…

A:

Q: Determine the general form of the equation of the circle whose center is (3,2) and whose graph…

A: Given: A circle centered at (3, 2) and (1, 2) is a point on this circle. First, find the radius of…

Q: Determine the general equation of the circle with standard equation (x+2)2 + (y-5)2 = 10.

A: Topic = Circle

Q: Find the equation of the general circle that touches the axes of the two points (-0.3,0) , (0,0.3)

A: Equation of circle

Q: The center ofa circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

A: As the tangent at (-3,0) is x axis, then the normal at (-3,0) passes through the centre of circle.