Answer:
27 years old
Step-by-step explanation:
let Sydney's age be x, then
Devaughn's age is 3x ( three times Sydney's )
The sum of their ages is 108, thus
x + 3x = 108
4x = 108 ( divide both sides by 4 )
x = 27
Sydney is 27 years old
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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12 Step-by-step explanation:cause 6x2 = 12
X = -1, so the statement is false