In a which quadrants of the coordinate plane do the x-and y- coordinates have opposite signs

2nd and 4th

Step-by-step explanation:

The quadrants of a coordinate plane start with the top right, and go counterclockwise from 1 to 4. In the 1st quadrant, both values are positive, eliminating that answer. In the 2nd, X is negative while Y is positive, so there is one answer. In the 3rd quadrant, both values are negative, and since they are the same this answer is also eliminated. In the 4th quadrant, the bottom right, Y is negative while X is positive. Now we have both answers, which are the 2nd and 4th quadrants.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

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