Which equation represents a circle with the same center as the circle shown but with a radius of 2 units? (x – 4)2 + (y – 5)2 = 2 (x – 4)2 + (y – 5)2 = 4 (x – 5)2 + (y – 4)2 = 2 (x – 5)2 + (y – 4)2 = 4

Option 2nd is correct

Step-by-step explanation:

The equation of circle with center (h, k) and radius r units is given by:

          .....[1]

As per the statement:

A circle is show in the figure with a radius of 2 units.

units

You can see the figure, the center of the circle is given as:

Center = (4, 5)

⇒h = 4 and k = 5

Substitute the given values in [1] we have;

⇒  

Therefore, the equation represents a circle with the same center as the circle shown but with a radius of 2 units is,  

if this is really you s much. i only have 3 points left and i have 2 questions to ask

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.