(Due in 10 minutes) Seraphina says that ΔKLM is a right triangle. Is she correct?

Seraphina is correct. The sum of the squares of the two legs of the triangle is equal to the square of the hypotenuse.

Seraphina is not correct. The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse.

Seraphina is correct. In the diagram, side KM looks perpendicular to side ML, so the triangle must be a right triangle.

Seraphina is not correct. The sum of the legs, 12 cm and 16 cm, does not equal the length of the hypotenuse, 19 cm.

{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

5

10

15

20

25

30

35

40

45

50

55