what are the coordinates for the center of the circle in the length of the radius X squared plus Y squared minus X minus 2Y -11 over four equals zero

Given:

The equation of a circle is:

To find:

The center of the circle and its radius.

Solution:

The standard form of a circle is:

         ...(i)

Where, (h,k) is center and r is the radius of the circle.

The given equation of the circle is:

Write the given equation in standard form of a circle.

On further simplification, we get

           ...(ii)

On comparing (i) and (ii), we get

Therefore, the center of the circle is (0.5,1) and radius is 2 units.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d