Find the center and radius of the circle with the equation (x-4)²+(y+6)²=16

Center:  

Radius:

Step-by-step explanation:

It is necessary to remember that the Equation of the circle in Center-radius form, is:

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

Then, given the following equation of the circle:

We can notice that it is written in Center-radius form. Then we can identify that:

Therefore the center is:

And the radius is:

Center = ( 4, -6) ; radius = 4.

Step-by-step explanation:

Given : (x-4)²+(y+6)²=16.

To find :  Find the center and radius of the circle with the equation.

Solution : We have given (x-4)²+(y+6)²=16.

We can write is as (x-4)²+(y+6)²= 4².

Standard form of circle : (x – h)² + (y – k)² = r².

Where (h ,k) is center

r =  radius .

On comparing (x-4)²+(y+6)²=16 with (x – h)² + (y – k)² = r².

(h,k) = ( 4 , -6)

r = 4.

Therefore, Center = ( 4, -6) ; radius = 4.

costs the what? what is the cost of the pants?

step-by-step explanation:

if it is $10, then the price is 14.

take 40% of the cost, and then add the cost.

40% of 10 = 4

4+10 = 14.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional