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:

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!