The length of a curve <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> is
In this case, we have
<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> ) ==> d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )
<em>y(t)</em> = 5 - 2<em>t</em> ==> d<em>y</em>/d<em>t</em> = -2
and [<em>a</em>, <em>b</em>] = [0, 2]. The length of the curve is then
Answer:
w=14
Step-by-step explanation:
-8(w + 1) = -5(w + 10)
Remove the parentheses
-8w-8+-5w-50
Move terms
-8w+5w=-50+8
Collect like terms and calculate
-3w=-42
Then divide on both sides
Y =
This is because the total cost is 10x + 480 and then that needs to be divided by the amount of people.
Answer:
56 pentagon.
Step-by-step explanation:
Here is the complete question: Eight point lies on the circle. How many pentagons can you make using five points as vertices?
Given: Five points on vertices.
Using the combination formula to find the number of pentagon.
⇒
⇒
∴
∴ With eight point lies on circle, we can make 56 pentagons using five points as vertices