Answer:

Step-by-step explanation:




Answer: ¢=68.2
Step-by-step explanation:
y(t) = 2sin4πt + 5cos4πt
Let , x = Asin¢ = 5
y = Acos¢ = 2
A = sqrt(5²+2²)
A= 5.39
y(t) = Acos¢sin4πt + Asin¢cos4πt
From Trigonometry rule,
y(t)= Asin(wt +¢)
tan¢ = 5/2
¢ = arctan(5/2) = 68.2°
y(t) = 5.39sin(wt + 68.2)
Where w = 4π
The angle ¢= 68.2°
Well mise well sign up for welfare cause ur gonna fail math
Answer:
y = -x + 1
Step-by-step explanation:
We are asked to find the equation of a line parallel to
x + y = 3
Step 1: find the slope
x + y = 3
Following the equation of a line
y = mx + c
3 - x = y
-x + 3 = y
y = -x + 3
Slope m = -1
Step 2: substitute m = -1 into the equation
y - y_1 = m( x - x_1)
Using the point ( 0 , 1)
x_1 = 0
y_1 = 1
y - 1 = m( x - 0)
m = -1
y - 1 = -1 ( x - 0)
Open the bracket
y - 1 = -1x + 0
y - 1 = -x
y = -x + 1
The equation of the line is
y = -x + 1
To find the distance between points, use the distance formula.
Distance formula:

Plug in your values for

using (-8, -7) and (8, -4) and solve.





≈
Answer:
Approximately 16.28 units.