Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x determine the numerical length of MN

Answer : MN =

MN = 4

Step-by-step explanation:

Given that L, M, N are collinear,

LN = 9,

MN = 4x

LM = 5x

Required:

Length of MN

SOLUTION:

To calculate the numerical length of MN, we need to find the value of x.

To find the value of x, generate an equation to solve for x as follows:

(segment addition postulate)

(substitution)

Solve for x

Divide both sides by 9

MN = 4x

plug in the value of x

MN = 4(1) = 4

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844