In order to answer this one, it's really really really really helpful if you know what the law of cosines says. In fact it's absolutely necessary.
The law of cosines says if you know two sides of a triangle and the angle between them then you can use that information to find the length of the third side.
In the picture you know the lengths of two sides and you know the angle between them. So you can use the law of cosines to find the length of the third sidethat. That's side AC.
Answer:
The midpoint of points 
is 
.
Step-by-step explanation:
Given points are . We need to find the midpoint of the line segment.
The formula of finding midpoints between the point 
is
W have points 
. And 
Let us plug the value in Equation (1)
So, the midpoint of points is .
Answer: a) An = An-1 + An-2
b) 55ways
Step-by-step explanation:
a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.
Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that
An = 5n cents
Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;
An-1 = 5( n-1)
Case 2: using a dime which is two 5 cents, the number of ways is given as;
An-2 = 5(n-2)
Summing up the number of ways, we have
An = An-1 + An-2
From the relation,
If n= 0, Ao= 1
n =1, A1= 1
b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)
From the relation, we have that
Ao = 1
A1 = 1
An =An-1 + An-2
Ao = 1
A1 = 1
A2 = A1+Ao = 1+1= 2
A3 = A2 + A1 = 3
A4 = A3+A2=5
A5=A4+A3=8
A6=A5+A4=13
A7 =A6+A5 = 21
A8= A7+A6= 34
A9= A8+A7= 55
So there are 55ways to pay 45cents.
Answer:
5 1/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
okay don't feel bad, you actually got it right, let me help you with some holes!
You calculate slope by the rise over run. These people are confusing you a bit - do problem 2 then 1
the vertical change is -1 horizontal change is 3 so by rise/run=-1/3
-1/3 is the slope
for the second problem this is confusing but just read and try to analyze
vertical change/horizontal change = 5-4/0-3= 1/-3(or -1/3)
The y intercept is the point where the line hits the y axis, so at point (0, 5)
The function is y=mx+b
m is the slope
b is the y intercept
so y=-1/3x+5
