Complete the square and write the equation in standard form. then give the center and radius of the circle. 10x2 + 10y2 = 100

2 + y2 = 10 (0, 0), r = 10

x2 + y2 = 100 (0, 0), r = 10

x2 + y2 = 10 (0, 0),

r = 10‾‾‾√

(x - 10)2 +(y - 10)2 = 10 (10, 10),

r = 10‾‾‾√

Center: (0,0)

Radius:

Step-by-step explanation:

The given circle has equation

In order to complete the square, we must make sure the coefficient of the quadratic terms are unity.

We divide through by 10 to obtain;

The coefficient of the linear terms of both variables are zero.

Therefore the equation can be rewritten as;

Comparing to

We have (h,k)=(0,0) to the center of the circle and to be the radius of the circle.

Equation: x²  + y² = 10

center = (0, 0)

  radius = √10

Step-by-step explanation:

The general equation of a circle is ;

(x - a)²  + (y - b)² = r²

Where (a, b) is the coordinate of the center of the circle, and r is its radius.

Where the center is (0,0), the equation becomes,

x²  + y² = r²

In our case we have;

10x² + 10y² = 100

dividing both side by ten,

x²  + y² = 10

∴ center = (0, 0)

  radius = √10

b. x- 48 =120

step-by-step explanation:

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !