Respuesta :
Answer:
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
Answer:
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