To determine the centroid, we use the equations:
x⁻ =
1/A (∫ (x dA))
y⁻ = 1/A (∫ (y dA))
First, we evaluate the value of A and dA as follows:
A = ∫dA
A = ∫ydx
A = ∫3x^2 dx
A = 3x^3 / 3 from 0 to 4
A = x^3 from 0 to 4
A = 64
We use the equations for the centroid,
x⁻ = 1/A (∫ (x dA))
x⁻ = 1/64 (∫ (x (3x^2 dx)))
x⁻ = 1/64 (∫ (3x^3 dx)
x⁻ = 1/64 (3 x^4 / 4) from 0 to 4
x⁻ = 1/64 (192) = 3
y⁻ = 1/A (∫ (y dA))
y⁻ = 1/64 (∫ (3x^2 (3x^2 dx)))
y⁻ = 1/64 (∫ (9x^4 dx)
y⁻ = 1/64 (9x^5 / 5) from 0 to 4
y⁻ = 1/64 (9216/5) = 144/5
The centroid of the curve is found at (3, 144/5).
Given situation:
Mr. jones received 70% of the 1500 vote casts in an election
Question and solution
=> How many votes did Mr Jones received:
=> 1 500 is the total number of voters and 70% of it voted Mr. Jones.
SO let’s start solving to get the number of voters who voted him.
=> 70% = 70 / 100 = .70
=> 1 500 * .70
=> 1 050 , the number of voters who voted him in an election.
Well I think that it’s A,B,D,E :)
The tires have to be divided. so 800/453.592, and 700/453.592. So...
800= 1.76
700=1.54
Answer:
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you have to Get ready to create a perfect square trinomial. BUT be careful!! In previous completing the square problems with a leading coefficient not 1, ... Take half of the coefficient of the x-term inside the parentheses, square it, and place it in the box.
hope this helps :)