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Mathematics 12 Online
OpenStudy (anonymous):

can you check my answer i think it is (4, -6) . The circle described by the equation (x 2)2 + (y + 5)2 = 16 is translated 4 units to the left and 1 unit up. At what point is the center of the image circle located? (Points : 5) (-4, 6) (4, -6) (-2, -4) (6, -6)

OpenStudy (anonymous):

if you can help jim_thompson5910 i would rather you than any one :) your so awesome :)

jimthompson5910 (jim_thompson5910):

The equation is (x - 2)^2 + (y + 5)^2 = 16 right?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

the center of (x - 2)^2 + (y + 5)^2 = 16 is ???

OpenStudy (anonymous):

i got (4, -6)

OpenStudy (anonymous):

for my answer

jimthompson5910 (jim_thompson5910):

don't jump to the answer yet

jimthompson5910 (jim_thompson5910):

the center of (x - 2)^2 + (y + 5)^2 = 16 is ???

OpenStudy (anonymous):

midpoint is (2, -5) right?

jimthompson5910 (jim_thompson5910):

the center of (x - 2)^2 + (y + 5)^2 = 16 is (2,-5) correct

OpenStudy (anonymous):

To translate it 4 units to the left, is subtracting 4 from the x co-ordinate.

OpenStudy (anonymous):

right

jimthompson5910 (jim_thompson5910):

now move this 4 units to the left to go from (2,-5) to (-2, -5) Then move this 1 unit up to go from (-2, -5) ---> (-2, -4)

jimthompson5910 (jim_thompson5910):

so the new center is (-2, -4)

OpenStudy (anonymous):

oh okay I see now :) That's the equation of the circle, and the midpoint is (2, -5). To translate it 4 units to the left, is subtracting 4 from the x co-ordinate. So, the answer should be (-2, -5

OpenStudy (anonymous):

i mean 4 lol i put 5

jimthompson5910 (jim_thompson5910):

yeah (-2, -4)

OpenStudy (anonymous):

okay this nect one i think that it is 6.28 cm I have my work all done and everything

OpenStudy (anonymous):

ircle A has a radius of 6 cm, and arcs RC, CS, and SM are congruent. To the nearest hundredth, what is the best approximation of the length of arc RC? (Points : 5) 12 cm 6.28 cm 3.14 cm 1.57 cm

jimthompson5910 (jim_thompson5910):

arcs RC, CS and SM are congruent, so because they form a straight angle, they must add to 180 RC + CS + SM = 180 RC + RC + RC = 180 ...they're all the same, so why not just call all 3 RC (we want to solve for this anyway) 3RC = 180 RC = 180/3 RC = 60 so arc RC is 60 degrees

jimthompson5910 (jim_thompson5910):

s = (angle/360)*2*pi*r s = (60/360)*2*pi*6 s = (60/360)*2*3.14*6 s = ???

OpenStudy (anonymous):

6.28? your work looks like mine :)

jimthompson5910 (jim_thompson5910):

that's awesome, glad it does

jimthompson5910 (jim_thompson5910):

and yes, 6.28 is the answer

OpenStudy (anonymous):

okay one last question are u up to it ?

jimthompson5910 (jim_thompson5910):

sure

OpenStudy (anonymous):

Which is the graph of the circle with equation (x + 1)2 + (y 2)2 = 9?

jimthompson5910 (jim_thompson5910):

(x + 1)^2 + (y - 2)^2 = 9 center = ??? radius = ???

OpenStudy (anonymous):

thats ware im confused

jimthompson5910 (jim_thompson5910):

(x + 1)^2 + (y - 2)^2 = 9 has a center of (-1, 2) and a radius of 3

jimthompson5910 (jim_thompson5910):

since it's in the form (x-h)^2+(y-k)^2=r^2 where h = -1 k = 2 r = 3

OpenStudy (anonymous):

oh okay i see

jimthompson5910 (jim_thompson5910):

that should help you pinpoint the correct graph

OpenStudy (anonymous):

so opt d

jimthompson5910 (jim_thompson5910):

well A and C are no-shows...so idk what they are

jimthompson5910 (jim_thompson5910):

it's NOT D since the center of D is (1, -2) when it should be (-1, 2)

OpenStudy (anonymous):

OpenStudy (anonymous):

c is the first one a is the second one

OpenStudy (anonymous):

okay so then the answer must be c correct i mean thats the only one that seems to make sence

jimthompson5910 (jim_thompson5910):

yeah it's C

OpenStudy (anonymous):

awesome thank you so so much

OpenStudy (anonymous):

omg I got a 100 and some answers you did not even help with i answered on my own! :P thank you so so so much your a life saver :)

jimthompson5910 (jim_thompson5910):

you're welcome

jimthompson5910 (jim_thompson5910):

went from supper to a hard candy, i didn't know i could be so many food items

jimthompson5910 (jim_thompson5910):

but glad to be of help

OpenStudy (anonymous):

LOL :p

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