What is the equation of the circle with center (0, 0) that passes through the point (–6, –6)?

x

2

+

y

2

=

37

Explanation:

The equation of a circle of center(a,b) and radius r is :

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

So,to think about the equation of a circle we should think about its center and radius .

The center is given (0,0).

The circle passes through the point (1,-6) so ,

the radius is the distance between (0,0) and (1,-6)

r

2

=

(

1

−

0

)

2

+

(

−

6

−

0

)

2

r

2

=

1

+

36

=

37

Equation of a circle is:

(

x

−

0

)

2

+

(

y

−

0

)

2

=

37

x

2

+

y

2

=

37

Step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

step-by-step :