Question

A circle is centered at (7, 8) and has a radius of 11. Which of the following is the equation for this circle?

(x − 7)^2 + (y − 8)^2 = 121
(x − 7)^2 + (y − 8)^2 = 11
(x + 7)^2 + (y + 8)^2 = 121
(x + 7)^2 + (y + 8)^2 = 11

Answer 1

will donate medal to best answer

Answer 2

HI!!

Answer 3

@jim_thompson5910 @mathstudent55 @ganeshie8 @misty1212

Answer 4

hi :)

Answer 5

make a guess, i bet you are right
general form is \[(x-h)^2+(y-k)^2=r^2\] put \(h=7,k=8,r=11\)

Answer 6

so (x-7)^2+(y-8)^2=11^2 ?

Answer 7

yeah although they need you to square 11

Answer 8

ok

Answer 9

so (x^2+49)+(y+64)=121 ?

Answer 10

@misty1212 ?

Answer 11

@jim_thompson5910

Answer 12

D:

Answer 13

oh no!!

Answer 14

can you help me ?

Answer 15

just take what you wrote above

Answer 16

\[(x-7)^2+(y-8)^2=11^2
\]

Answer 17

(x^2+49)+(y+64)=121 ?

Answer 18

all @misty1212 was saying is that in your answer choices the 11 is squared

Answer 19

so does that matter or not ?

Answer 20

are you trying to expand the square parts?

Answer 21

no it doesn't matter except for your answer choices

Answer 22

i dont know im bad at geometry

Answer 23

\[(x-7)^2=(x-7)(x-7)=x(x-7)-7(x-7)=x^2-7x-7x+49 \\ =x^2-14x+49\]
no your choices do not have this form

Answer 24

im confused

Answer 25

D: D: D:

Answer 26

\[(x-h)^2+(y-k)^2=r^2 \\ \text{ you are give} (h,k)=(7,8) \text{ and } r=11 \\ \text{ just plug into this form }\]
I think @satellite73 already walked you though this

Answer 27

replace h with 7
replace k with 8
replace r with 11

Answer 28

yes

Answer 29

(x-7)^2+(y-8)^2=121 ?

Answer 30

that is right

Answer 31

tnx u deserve the medal