Correct this for me arrange the circles (represented by their equations in general form) in ascending order of their radius lengths.

Remark

I'm going to complete the square very quickly for all of these. You can fill in the missing steps.

Top One

(x^2 - 2x + 1) +(y^2 + 2y + 1) = 1 + 1 + 1

(x - 1)^2 + (y + 1)^2 = 3

Radius = sqrt(3)

Second One

Divide by 4 to start with

x^2 + y^2 + 4x + 6y - 10 = 0

(x^2 + 4x + 4) + (y^2 + 6y + 9) = 10 + 4 + 9

(x + 2)^2 + (y + 3)^2 = 23

Radius = sqrt(23)

Three

(x^2 - 4x + 4) + (y^2 + 4y + 4) = 10 + 8

(x - 2)^2 + (y + 2)^2 = 18

Radius = sqrt(18) You would be wise not to reduce this even though the reducation is 3sqrt(2). The comparison will be easier.

Four

(x^2 - 8x + 16) + (y^2 - 6y + 9) = 20 + 16 + 9

(x - 4)^2 + (y - 4)^2 = 44

Radius = sqrt(44)

Again don't reduce this

Five

(x^2 - 12x + 36) + (y^2 - 2y + 1) = 9 + 36 + 1

(x -6)^2 + (y - 1)^2 = 46

radius = sqrt(46)

Six

Divide through by 5

x^2 + y^2 - 4x + 6y + 8 = 0

(x^2 - 4x + 4) + (y^2 + 6y + 9) = - 8 + 4 + 9 = 5

(x -2)^2 + (y + 3)^2 = 5

Radius = sqrt(5)

Seven

Divide through by 2

x^2 + y^2 - 14x - 32y - 4 = 0

(x^2 - 14x + 49) + (y^2 - 32y + 256) = 4 + 49 + 256

(x - 7)^2 + (y - 16)^2 = 309

The radius is sqrt(309)

Comment

The calculation order produces

One . . . . . sqrt(3)

Two . . . . . . sqrt(23)

Three . . . . .sqrt(18)

Four . . . . . .sqrt(44)

Five . . . . . .sqrt(46)

Six . . . . . . .sqrt(5)

Seven . . . . sqrt(309)

I leave the ordering part to you.

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.