Point m lies between points l and n on ln.

if ln=12x+16, what is the length of ln in units?
a. 16 units
b. 40 units
c. 48 units
d. 64 units

Option D. LN=64 units

Step-by-step explanation:

step 1

Find the value of x

we know that

LN=LM+MN > equation A

we have

LN=12x+16

LM=10x+8

MN=5x-4

substitute the values in the equation A

12x+16=(10x+8)+(5x-4)

Solve for x

12x+16=15x+4

15x-12x=16-4

3x=12

x=4

step 2

Find the value of LN

LN=12x+16

LN=12(4)+16=64 units

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.