Find the area of the parallelogram. 69 cm2 345 cm2 276 cm2 180 cm2

276 cm^2

Step-by-step explanation:

A = b*h

A = 23*12

A = 276

For this case we must find the area of the parallelogram, knowing that by definition, it is given by:

Where:

In the figure we observe that the base of the parallelogram is 23cm, then, . On the other hand, the height is 12cm, then,. Substituting:

Thus, the area of the parallelogram is

Option C

{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

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: