The answer is 25, use pemdas if help
The coordinates represents a possible collision point of the objects according to equations r = 4cos(θ) and r = –1/ 2cos(θ) cos(∅) are (-2,2π/3).
Given Equations r = 4cos(θ) and r = –1 2cos(θ).
We have to find the coordinates of collision.
The first object is moving around the screen r = 4cos(θ).
The second object is moving around the screen r = –1 /2cos(θ).
According to question
Coordinate can be found out by equating both the equations.
4cos(θ) =–1 /2cos(θ)
2cos(θ)=-1
cos(θ)=-1/2
θ=
=120°
θ=-2π/3
Therefore the two equations are equal when
θ=2π/3
we have
r=4 cos(2π/3)=-2
and r=-1+2 cos(2π/3)
r=-2
Hence the coordinates that represent the collision point are (-2,2π/3).
Learn more about motion of equation at brainly.com/question/25951773
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The two events are related and often or always follow each other
I'll use x, y, and z for the numbers
x + z = y
x + y = 6 + z
3x - 2y = z
Substitute (x + z) for y in the second equation.
x + (x + z) = 6 + z and solve
2x = 6
x = 3
Rearrange another equation and substitute (3) for x.
(3) + y = 6 + z solve for y
y = 3 + z
substitute y in another equation
3(3) - 2(3+z) = z solve
9 - 6 - 2z = z
3 = -z
z = 3
going back to the first equation:
x+z=y
3 + 3 = 6
Answers:
x=3
y=6
z=3
check all equations to make sure it works for all equations