Ahighway tunnel has a shape that can be modelled by the equation of a parabola. the tunnel is 18m wide and the height of the tunnel 16m from the edge is 5m. can a truck 8m tall and 4m wide pass through the tunnel?

It is possible that a truck of 8 m tall and 4 m wide pass through the tunnel.

Step-by-step explanation:

Since we have given that

A highway tunnel has a shape that can be modeled by equation of a parabola:

Since the width of the tunnel is 18 m wide,

So, We consider the endpoints :

So, our equation becomes,

Now, we have given that the height of the tunnel is 16 m and the edge of tunnel is 5 m say 'y'.

so, it becomes,

so, finally, equation becomes,

Now, dimensions of truck is 8 m tall and 4 m wide.

So,  y = 8

So,

By using the "Quadratic formula " , we get:

So, Now, we get hte distance between the points and

So, it becomes

Allowed width is given by

And the width of the truck is 4m

So , it is possible that a truck of 8 m tall and 4 m wide pass through the tunnel.

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

step-by-step explanation: