Achair lift at a ski resort travels along the
cable as shown.
0
2
4
14
16
18
6 8 10 12
1 unit = 10 ft
how long is the cable? round your answer to
the nearest whole foot.

Step-by-step explanation:

Let

we know that

The length of the cable L is

The formula to calculate the distance between two points is equal to

step 1

Find the distance AB

we have

substitute in the formula

step 2

Find the distance BC

we have

substitute in the formula

step 3

Find the distance CD

we have

substitute in the formula

step 4

Convert units to feet

we have

1 unit = 10 ft

step 5

Find the length of the cable

Round to  the nearest whole foot

i think is g(1)=-1.

hope that i can

{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