9514 1404 393
Answer:
x = 12
perimeter = 124
Step-by-step explanation:
The midline RS is half the length of MN, so we have ...
2×RS = MN
2(x +3) = 5x -30
2x +6 = 5x -30
36 = 3x . . . . . . . . . add 30-2x
12 = x . . . . . . . . . . divide by 3
__
The length RS is then ...
RS = x +3 = 15
and the perimeter of QRS is ...
P(QRS) = QR +RS +SQ = 25 +15 +22 = 62
The perimeter of QRS is half the perimeter of MNP, so ...
P(MNP) = 2×P(QRS) = 2×62 = 124
The perimeter of ΔMNP = 124.
ANSWER
The particular solution is:

EXPLANATION
The given Ordinary Differential Equation is

The general solution to this Differential equation is:

To find the particular solution, we need to apply the initial conditions (ICs)

This implies that;




Hence the particular solution is

Answer:
h(g(n))=4n-9
Step-by-step explanation:
h(g(n))=4*g(n)-5 ( we replace n in the formule of h(n) by g(n).
h(g(n))=4(n-1)-5
h(g(n))=4n-4-5
h(g(n))=4n-9
Hope you understand it
Answer:
Speed of river's current = 5 mph
Step-by-step explanation:
Let 'd' be the distance covered
Let x be the speed of the rivers current
Speed upstream = 15-x
speed downstream = 15+x
Time = distance / speed
time upstream = 
time downstream = 
the ferry trip upstream takes twice as long as its return trip downstream
= 
divide both sides by d
= 
cross multiply


Add 2x on both sideds

subtract 15 from both sides and divide by 3

x=5
Speed of river's current = 5 mph