Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the circle equations in general form with their corresponding equations in standard form. x2 + y2 − 4x + 12y − 20 = 0 (x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0

1) For , the standard form is

2) For , the standard form is

3) For ,  the standard form is

4) For ,  the standard form is

5) For ,  the standard form is

6) For, the standard form is

Step-by-step explanation:

This can be done using the completing the square method.

The standard equation of a circle is given by

1) For

Therefore, for , the standard form is

2) For

Therefore, for , the standard form is

3)  For

Divide through by 3

Therefore, for ,  the standard form is

4)  For

Divide through by 5

Therefore, for ,  the standard form is

5) For

Divide through by 2

Therefore, for ,  the standard form is

6) For

Therefore, for, the standard form is

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

what is the model?

step-by-step explanation: