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PLEASE HELP!!!

The vertical and horizontal positions of a zip line cable are represented by the following parametric equations. Rewrite the parametric equations by eliminating the parameter.

x(t)=3t+4

y(t)=5-t

A.) y=-1/3x+19/3

B.) y=19-3x

C.) y=2x+9

D.) y=5-x

Respuesta :

asadullahgiki
First eliminate the parameter of t from x(t)=3t+4
 x-4=3t
(x-4)/3 =t

put in 
y=5-t
So, 
y=5 - ((x-4)/3)
y=(15-x+4)/3
y=(19-x)/3
y= -x/3+19/3

option A is correct

If the parameter t is eliminated then the equation will be y = 19 / 3 - x / 3. Then the correct option is A.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The vertical and horizontal positions of a zip line cable are represented by the following parametric equations.

The parametric equation is given below.

x(t) = 3t + 4 ...1

y(t) = 5 - t ...2

Form equation 1, we have

t = (x - 4) / 3

Put the value of t in equation 2, then we have

y = 5 - (x - 4) / 3

y = (15 - x + 4) / 3

y = 19 / 3 - x / 3

Thus, the correct option is A.

More about the linear system link is given below.

https://brainly.com/question/20379472

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