Ask Question
16 August, 07:36

MP=18-3.8x, MN=7.74, and NP=1.9x determine the value of x and MP

+2
Answers (2)
  1. 16 August, 07:47
    0
    x = 1.8, MP = 11.16

    Step-by-step explanation:

    Given the functions below;

    MP=18-3.8x, MN=7.74, and NP=1.9x

    Adding vectorially, MP+PN = MN ... (1)

    Given NP = 1.9x, therefore, PN = - 1.9x since PN = - NP

    Substituting the value of the given vector functions in equation 1 will give;

    18-3.8x-1.9x = 7.74

    18-5.7x = 7.74

    -5.7x = 7.74-18

    -5.7x = - 10.26

    x = - 10.26/-5.7

    x = 1.8

    To get MP, since MP = 18-3.8x

    Substituting the value of x = 1.8 into the vector function MP;

    MP = 18-3.8 (1.8)

    MP = 18-6.84

    MP = 11.16

    Therefore, x = 1.8, MP = 11.16
  2. 16 August, 07:58
    0
    Part 1) x=1.8

    Part 2) MP=11.16 units

    Step-by-step explanation:

    step 1

    Find the value of x

    In this problem we have that

    MP=MN+NP

    we have

    MP=18-3.8x

    MN=7.74

    NP=1.9x

    substitute the values and solve for x

    18-3.8x=7.74+1.9x

    Group terms

    3.8x+1.9x=18-7.74

    Combine like terms

    5.7x=10.26

    x=10.26/5.7

    x=1.8

    step 2

    Find the value of MP

    MP=18-3.8x

    substitute the value of x

    MP=18-3.8 (1.8) = 11.16 units
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “MP=18-3.8x, MN=7.74, and NP=1.9x determine the value of x and MP ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers