Write the standard equation of the circle with given center and radius.

Center: (0, 0)

Radius: √ 11 (square root of 11)

x² + y² = 11

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

Here r = ⇒ r² = ( )² = 11, thus

x² + y² = 11 ← equation of circle

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2