Determine the center and radius of a circle whose equation is x² + y² + 8x - 6y - 24 = 0.

Q: Write the standard form of the equation of the circle given x2 - 6x + y2 + 8y + 12 = 36

A: To rewrite the given equation to the standard equation of the circle (x-a)^2+(y-b)^2 =r^2, center…

Q: Consider the following equation of a circle written in expanded form. x² + y² + 4x+10y = - 4 Whic…

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Q: Find an equation of the circle whose diameter has endpoints (-2,3) and (4,5).

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Q: Recall that an equation of a circle can be written in standard form (x-h)² + (y-k)² = r, where (h,…

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Q: Graph the circle from the standard form (x+4)2 + (y+ 2)2 25.

A: Equation of a circle is : x - h2 + y -k2 = r2where;centre→ (h, k)radius →r

Q: Find the equation of the sphere that has the line segment joining (-1,-8,-6) and (-1,2,-6) as a…

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Q: A circle is given with the equation x2+y2−8x+6y+19=0. What is the equation of the circle in standard…

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Q: Write the equation 4x² - 25y²-2² - 100 = 0 in standard form. Draw a sketch of its graph and name the…

A: Please see the below pictures for detailed solution.

Q: What is the equation of circle in standard form? x²+4x+y²-6y=23 O A. (x-2)2+(y+3)²=6 O c…

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

Q: Find an equation of the circle that has center (-5, -1) and passes through the origin.

A: Given that, The center of the circle is (-5, -1) and passes through the origin. Find the equation of…

Q: The equation of a circle is given by (x+ 4)² + (y+ 1)² = 36. Find the coordinates of the center of…

A: Given: x+42 +y+12 = 36 To find: The coordinates of center of given circle.

Q: 3. Reduce 9x² +9y2 - 12x - 24y - 5 = 0 to the standard form of the equation of a circle.

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Q: The equation x+y – 4x +2y= b describes a circle. What is the y-coordinate of the center of the…

A: The given question as belonging to the circle in which we have to find the value of the center of…

Q: Identify the center and radius of the circle with the following equations then graph the circle. x^2…

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Q: x²+y²-10x-6y+24=0 2. Write the question of the circle in standard form. 3. Find all intercepts.

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