Point b lies between points a and c on ac. let x
represent the length of segment ab in inches.
use the segment to complete the statements.
the value of x is
the length of ab in inches is .
the length of bc in inches is
ах в
3x
20 inches

Set up the following equation for this segment:

x is segment AB's length, and 3x is segment BC's length. 20 is segment AC's length.

Combine like terms:

Divide both sides by 4 to get x by itself:

x will equal 5.

Plug this value into the values for both segments:

Segment AB:

Segment AB is 5 inches long.

Segment BC:

Segment BC is 15 inches long.

a. is correct

{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