13. An architect created the scale drawing below showing a wall of a child's playhouse.
Which of these was the scale used for the drawing
the actual height of the wall is 7 feet?
F. 1 in. = 1 ft
G. in.=1 ft
H. 2 in. = 12 ft
1. in. =1 ft

H

Step-by-step explanation

The height on the scale is 1 1/4 inches, and the actual height is 7 1/2 feet. Simply divide 7 1/2 by 1 1/4 to get how many feet per inch. You should get 6 feet per inch, so its H because 2 inches would be 12 feet.

{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