Answer:
d) neither
Step-by-step explanation:
Given equation is 7x - 5 = 4y -6 ...…...... (1)
Substitute x = 2 and y= 4 in equation (1)
7(2) -5 = 4(4) -6
9 ≠ 10
a) is not satisfied
Substitute x = 3 and y= 6 in equation (1)
7(3) -5 = 4(6) -6
16 ≠ 18
b) is not satisfied
c) is also not satisfied
<u>Final answer</u>:- neither
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).
Answer:
See below.
Step-by-step explanation:
A year has 12 months and 365 days.
3 months: 3/12 year = 1/4 year
55 days: 55/365 year = 11/73 year
1 month: 1/12 year
7 months = 7/12 year
120 days = 120/365 year = 24/73 year
Answer:
See attachment
Step-by-step explanation:
The negative in front flips it over the y axis
The +1 moves it left
Have a great day!!!
(Also can I please have Brainliest, I need it to level up!)
A full circle has a circumference of 2πr and an angle of 2π radians.
Set up a proportion:
2πr - 2π rad
2r - x rad
The answer is D. 2 radians.
