Which coordinate pair identifies the center of the circle represented by 4x2 + 4y2 − 16x − 24y + 36 = 0. a) (2, 3) b) (3, 2) c) (0, 0) d) (−3, 2)

Option A is correct

Coordinate pair identifies the center of the circle is, (2 , 3)

Step-by-step explanation:

the general equation of the circle is given by :

; where (a, b) represents the coordinates of the circle  and r is the radius of the circle.

Given :

Take common 4 from above equation we have:

Divide both sides by 4 we get;

Add and subtract 4 in above equation:

Add and subtract 9 in above equation:

or

Using identity:

On comparing with the general equation of the circle we have;

a = 2 , b= 3 and r = 2

Therefore, the coordinate pair identifies the center of the circle is, (2 , 3)

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: