Hi there! I just started this problem but I keep getting negative answers (which I don't think it's right) My teacher had done one but this one is quite different:
The Moving Transportation Committee has proposed to build an underground tunnel between Scarborough and Mississauga to help ease a lot of traffic woes.
The proposed tunnel will consist of two driving lanes and is to be built in the shape of a parabolic arch, with its base 12 m wide and its highest point 5 m above ground.
As the Math Analyst, your task is to determine the “Maximum Height Allowed” for the vehicles that are passing through this tunnel and a justification to how this “maximum height” was determined.
I tried using h(x)=a(x+6)(x-6) as my first step - because the total base is 12 divided by 2 gives negative 6 and positive 6, so...
5=a(0+6)(0-6)
5=- 36a ..............................[edited]
-5/36=a .............................[edited]
that is the equation I used for the next step, I sub the points (0,5) because those are the height points but i'm still confused - so for one answer i got -4.19
I know everything might be incorrect but I'm not sure how to start
The Moving Transportation Committee has proposed to build an underground tunnel between Scarborough and Mississauga to help ease a lot of traffic woes.
The proposed tunnel will consist of two driving lanes and is to be built in the shape of a parabolic arch, with its base 12 m wide and its highest point 5 m above ground.
As the Math Analyst, your task is to determine the “Maximum Height Allowed” for the vehicles that are passing through this tunnel and a justification to how this “maximum height” was determined.
I tried using h(x)=a(x+6)(x-6) as my first step - because the total base is 12 divided by 2 gives negative 6 and positive 6, so...
5=a(0+6)(0-6)
5=- 36a ..............................[edited]
-5/36=a .............................[edited]
that is the equation I used for the next step, I sub the points (0,5) because those are the height points but i'm still confused - so for one answer i got -4.19
I know everything might be incorrect but I'm not sure how to start
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