Lucy has two star systems left to visit on her voyage, but her ship is running low on fuel. The first system, KA-7777, is 1200120012001200 light years (l. y.)(\text{l. y.})(l. y.)left parenthesis, start text, l, point, y, point, end text, right parenthesis away while the second system, KA-11111111, is 1700 l. y.1700\text{ l. y.}1700 l. y.1700, start text, space, l, point, y, point, end text.

Her top priority is to visit star system KA-7777. To determine if she'll also be able to visit KA-11111111, she must find the distance between KA-7777 and KA-11111111.

If Lucy sees an angle of 52∘52^\circ52∘52, degrees between KA-7777 and KA-11111111, how far are KA-7777 and KA-11111111 apart?

answer: i'm great at algebra

~coco

step-by-step explanation:

take it another

answer: the first graph

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1