Write the standard form of the equation of the circle with its center at (-2,0), and a radius of 10.

The standard form of the equation of the circle with its center at (-2,0), and a radius of 10 is

We have been given the center of a circle and radius which are (-2,0)  and 10 respectively

To find: Standard form of the equation of the circle

The standard form for the equation of a circle is given as:

Where (a, b) are the coordinate of the centre of circle and r is the radius

Now on substituting values we get,

So, the required standard equation of circle is :-

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option