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.

110

step-by-step explanation:

based on the question i am guessing that it is a typo for abc

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.