With the aid of a diagram, describe how you would help students understand why (x−h)2+(y−k)2=r2 is the general equation for a circle whose center is (k, h) and radius is r.

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

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Q: assume that the line “l” goes through the point, (3,-2) and is perpendicular to y= 1/2x+7. Which of…

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Q: For the equation of the circle (x-10)2+(y+2)2=34 Please explain why the point (5,1) is on the…

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Q: ?^2+16?=4?−32 vertex : (  ,  ) focus : (  ,  ) directrix ? =

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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: – 4x + 5 and Write an equation for a line perpendicular to y = passing through the point (-8,-3) y =

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Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Write (in standard form) the equation of a circle with center C(-4, 3) and containing point P(-2, 6

A: To find the equation of circle

Q: what is the radius and center of the circle given by the equation (x-3)2 + (y+5)2 =100?

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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: What are the two forms of the equation of a circle? Briey describe in words how you would go from…

A: Definition of a Circle   A circle is the set of all points in a plane equidistant from a fixed point…