Answer: 20 + x
Why you ask? Well its just plain logic if you read it thoroughly
Any polygon given by a list of 2D vertex coordinates has area given by the shoelace formula.
That's the absolute value of half the sum of the cross products of the sides. We form the table of the vertices. We include the first vertex at the end, then calculate the cross product of the side, (a,b) then (c,d) gives cross product ad-bc.
cross product
-4 3 0
0 0 0
6 8 6(11)-8(2) = 66 - 16 = 50
2 11 2(3) - (11)(-4) = 50
-4 3
So the area is (1/2)(50+50) = 50
Answer: 50
The distance walked will be (12-x) km
the distance rowed will be (9+x²) km
A] The function T(x) will be given by:
Time=distance/speed
thus we shall have:
T(x)=[√(9+x²)]/2.5+(12-x)/4
B] To get the distance x=c that minimizes the time travel, we differentiate the above.
T'(x)=(1/2.5)[1/(2.5√9+x²)*2x-1/4]
this should give us 0 for x=c, thus
c/[2.5*√(9+c²)]-1/4=0
⇒c/[2.5*√(9+c²)]=1/4
c/√(9+c²)=2.5/4
squaring both sides we get:
c²/(9+c²)=5/8
8c²=5(9+c²)
8c²=45+5c²
3c²=45
c²=15
c=3.87 km
c] The least travel time is
T(c)=[√(9+c²)]/2.5+(12-c)/4
this will give us:
T(c)=[√(9+3.87²)]/2.5+(12-3.87)/4
T(c)=3.9999209~4 hours
d] The second derivative will be:
T"(x)=1/[2.5√(9+x²)]-x²/[2.5(9+x²)^(3/2)]
but
x=c=3.87
T"(x)=0.01668 hours/ mile²
Given that T(c)=0, while T(x)<0 for x<c and T(x)>0 for x>c proves that T(x) decreases for x<c and increases for x>c, so there is a minimum at x=c
Answer:
0.2
Step-by-step explanation:
I hope this helps you enough.
Answer:
55
Step-by-step explanation:
(after the first "1") You need to add the previous two numbers together to get the next number in the pattern.
