Question

Point N is on line segment \overline{MO} MO . Given MN=x,MN=x, MO=3x-6,MO=3x−6, and NO=x+1,NO=x+1, determine the numerical length of \overline{MO}. MO

Answer 1

15

Explanation:

if point N is located on the line segment MO, then MN + NO = MO. Given the following value of each line segment MN=x, MO=3x-6, and NO=x+1, to get MO, we need to first get the value of x by substituting the given functions into the expression above as shown to have;

x + x+1 = 3x - 6

2x + 1 = 3x -6

collect like terms

2x - 3x = -6-1

-x = -7

x = 7

Then we can get the numerical length of MO by substituting x = 7 into the function MO = 3x - 6

MO = 3(7)-6

MO = 21-6

MO =15

Hence, the numerical length of MO is 15units.