What is the equation of a circle that has a center at (4,-1) and a radius of 8

x

2

+

y

2

−

8

x

+

2

y

−

47

=

0

Explanation:

the eqn of a circle centre  

(

a

,

b

)

and radius  

r

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

#we ahve

(

x

−

4

)

2

+

(

y

−

−

1

)

2

=

8

2

(

x

−

4

)

2

+

(

y

+

1

)

2

=

64

x

2

−

8

x

+

16

+

y

2

+

2

y

+

1

=

64

x

2

+

y

2

−

8

x

+

2

y

−

47

=

0

Answer link

Jim G.

Jun 25, 2018

(

x

−

4

)

2

+

(

y

+

1

)

2

=

64

Explanation:

the equation of a circle in standard form is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−−−−−−  

where  

(

a

,

b

)

are the coordinates of the centre and r

is the radius

here  

(

a

,

b

)

=

(

4

,

−

1

)

and  

r

=

8

(

x

−

4

)

2

+

(

y

−

(

−

1

)

)

2

=

8

2

(

x

−

4

)

2

+

(

y

+

1

)

2

=

64

Step-by-step explanation:

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

898.1666667

step-by-step explanation:

5389/6 = 898.1666667