Distance on the Coordinate Plane What is the distance from L to M?
•L(-5.4)
3
2
1-5 4 3 2
1
1 2 3 4 5
-2
M(3.-2)
3
5
A. 2 units
B. 10 units
C. 14 units
D. 100 units

9514 1404 393

  B.  10 units

Step-by-step explanation:

The distance formula is useful.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((3-(-5))² +(-2-4)²) = √(64 +36) = √100

  d = 10

The distance from L to M is 10 units.

the answe i =−n+5

{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